PSAT
™
8/9
Practice
Test
#
1
ANSWER EXPLANATIONS
These answer explanations are for students taking the


PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
2  PRACTICE TEST #1 ANSWER EXPLANATIONS
Reading and Writing
Module 1
(33 questions)
QUESTION 1
Choice C 







Choice A 



Choice B 



Choice D 




PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
3  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 2
Choice C 





Choice A 


Choice B 

Choice D 



QUESTION 3
Choice B 





Choice A 


Choice C 



Choice D 



PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
4  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 4
Choice C 
The Books of Jacob

The Books of Jacob has a




Choice A 



Choice B is



Choice D 





QUESTION 5
Choice B 


Epic of Gilgamesh


Choice A 




Choice C 




Choice D 




PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
5 PSAT 8/9 PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 6
Choice A is the best answer because it most accurately describes the main
purpose of the text, which is to show how Polly reacted to some of Fanny’s other
friends. The text describes Polly as being frightened of Fanny’s friends because
they seemed “much older and wiser” to her and elaborates that they “talked about
things of which” Polly was unfamiliar, uninterested, and shocked. Thus, the main
purpose of the text is to describe Polly’s impressions of Fanny’s other friends.
Choice B is incorrect because the text does not provide any of the topics Polly
discussed with Fanny’s friends, stating only that Polly found the topics unfamiliar,
uninteresting, and shocking. Choice C is incorrect because the text says nothing
about how Fanny and her other friends first met. Choice D is incorrect because
the focus of the text is on Polly’s feelings about Fanny’s other friends, not on the
other friends’ feelings about Polly.
QUESTION 7
Choice C is the best answer because it best describes how the underlined
sentence functions in the text as a whole. The text presents information about
a map drawn by Blackfoot chief Ac Ko Mok Ki in 1801. The underlined sentence
states that the map “demonstrates a vast amount of topographic knowledge”
and mentions that it features the “specific names of mountains and rivers” and
includes the first-known sketch of the Missouri River’s drainage network. These
are all characteristics that indicate that the map was executed with remarkable
skill. Thus, the underlined sentence identifies some reasons why the map is
impressive.
Choice A is incorrect. Though the sentence after the underlined sentence in
the text mentions that Ac Ko Mok Ki included information about other tribes on
his map, the underlined sentence itself does not address this topic. Choice B is
incorrect because nothing in the underlined sentence indicates how Ac Ko Mok Ki
became interested in mapmaking, only that his mapmaking skills are impressive.
Choice D is incorrect because though the underlined sentence describes several
features of the map, it does not specifically describe how the map was used.
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
6  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 8
Choice A 








Choice B 

Choice C 


Choice D 



QUESTION 9
Choice A 






Choice B 

Choice C 



Choice D 



PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
7  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 10
Choice A 







Choice B 




ChoiceC 

Choice D



QUESTION 11
Choice A 





Choice B 
Choice C 

Choice D 


PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 12
Choice A 






Choice B 

Choice C is




Choice D 


QUESTION 13
Choice C 








Choice A 


Choice B 




Choice D is




PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 14
Choice D 







Choice A 



Choice B 


ChoiceC





QUESTION 15
Choice C 






Choice A 



Choice B 




Choice D 


PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
10  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 16
Choice D 











Choice A 

Choice B is


Choice C 











QUESTION 17
Choice C 








Choice A 



Choice B 
PSAT 8/9 ANSWER EXPLANATIONS
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READING AND WRITING: MODULE 1
11  PRACTICE TEST #1 ANSWER EXPLANATIONS

Choice D



QUESTION 18
Choice A 












Choice B 




Choice C 





ChoiceD







PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
12  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 19
Choice C 



Choice A 

Choice B 

Choice D 


QUESTION 20
Choice A 


Choice B 

Choice C 

Choice D 

QUESTION 21
Choice D 



Choice A 
Choice B

Choice C is


PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
13  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 22
Choice B 



Choice A 

ChoiceC

Choice D 



QUESTION 23
Choice D 




Choice A 

ChoiceB 

Choice C 


QUESTION 24
Choice D 

Choice A 
Choice B 
Choice C is


PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
14  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 25
Choice A 


Choice B 
Choice C 

Choice D 

QUESTION 26
Choice D 



Choice A 
Choice B 

Choice C 

QUESTION 27
Choice D 

Panchali


Choice A 
Choice B 

Choice C 


PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
15  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 28
Choice C 





Choice A 
Choice B 

Choice D is

QUESTION 29
Choice A 


Choice B 


Choice C 


Choice D 



QUESTION 30
Choice D 


Choice A 

Choice B is



Choice C 


PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 1
16  PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 31
Choice B 

Choice A 




Choice C 


Choice D 



QUESTION 32
Choice D 

Choice A 
Choice B is

Choice C 


QUESTION 33
Choice B 



Choice A 

Choice C 



Choice D 


17  PRACTICE TEST #1 ANSWER EXPLANATIONS

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READING AND WRITING: MODULE 2
Reading and Writing
Module 2
(33 questions)
QUESTION 1
Choice C 






Choice A 
Choice B 




Choice D 

  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
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READING AND WRITING: MODULE 2
QUESTION 2
Choice A 






Choice B 

Choice C 


Choice D




QUESTION 3
Choice B 
Sueño de Familia




Choice A 



Choice C 

Choice D 




  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
QUESTION 4
Choice A 




Choice B 


Choice C 


Choice D 



QUESTION 5
Choice D 







Choice A 




Choice B 





Choice C is






20  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
QUESTION 6
Choice B 









Choice A 



Choice C 
in either the underlined portion or the text as a whole suggests that the findings



Choice D 





QUESTION 7
Choice B 








Choice A 


Choice C 





21  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2

Choice D 



QUESTION 8
Choice B 






Choice A 


Choice C 
ChoiceD is


QUESTION 9
Choice D 













Choice A 





Choice B 


22  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
Choice C 





QUESTION 10
Choice C 







Choice A 

Choice B 



Choice D is




QUESTION 11
Choice C 







Choice A 





Choice B 


23  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2



Choice D 






QUESTION 12
Choice B 







Choice A 



Choice C 


Choice D is




QUESTION 13
Choice D 









24  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
Choice A 



Choice B 





Choice C 







QUESTION 14
Choice B 
One Last Word






One Last Word




Choice A 




Choice C 



Choice D 




25  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
QUESTION 15
Choice B 







Choice A 



Choice C 



Choice D 




QUESTION 16
Choice B 
The Mixquiahuala Letters





The Mixquiahuala Letters

Choice A 
The Mixquiahuala Letters
Choice C 
The Mixquiahuala Letters
Choice D 


26  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
QUESTION 17
Choice B 













Choice A 







Choice C 



Choice D 




27  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
QUESTION 18
Choice C 
















Choice A 








Choice B 












Choice D 







  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
QUESTION 19
Choice D 




Choice A 
Choice B 
Choice C 

QUESTION 20
Choice D 


Choice A 


Choice B 


Choice C 

QUESTION 21
Choice C 




Choice A 

Choice B 

Choice D 


  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
QUESTION 22
Choice B 


Choice A 
Choice C 

Choice D 

QUESTION 23
Choice B 




Choice A 


Choice C 

Choice D 



QUESTION 24
Choice C 





Choice A 
Choice B 
Choice D 

30  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
QUESTION 25
Choice D 





Choice A 

Choice B 
Choice C 


QUESTION 26
Choice C 


Choice A 


Choice B 


Choice D 



QUESTION 27
Choice C 




Choice A 

ChoiceB


Choice D 



31  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
QUESTION 28
Choice C 

Choice A 


Choice B 

Choice D 


QUESTION 29
Choice A 


Choice B 

Choice C 

Choice D 


QUESTION 30
Choice D 


Choice A 

Choice B 

ChoiceC is



32  PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
READING AND WRITING: MODULE 2
QUESTION 31
Choice D 



Choice A 

Choice B 


Choice C 


QUESTION 32
Choice B 


Choice A 

Choice C 

Choice D 

QUESTION 33
Choice A 


Choice B 

Choice C 

Choice D 


PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 1
33 P PRACTICE TEST #1 ANSWER EXPLANATIONS
Math
Module 1
(27 questions)
QUESTION 1
Choice B 
 =

612


( )





36

17

Choice A 

Choice C 


Choice D 


QUESTION 2
Choice C 
200
people who were


people

53

 +

or


Choice A 

Choice B 
Choice D 



QUESTION 3
Choice D yxy
yy
point
( )

y
( )

Choice A Choice B 
Choice C 

PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 1
34 P PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 4
Choice A 


5 70p =

5

14p =


p

 p +=
is
14
Choice B 
p

 p +=

Choice C 
p

 p +=

Choice D 
p

 p +=
QUESTION 5
Choice D 
A


Aw=



w

length of
36

34

36
for
and
34
for
w

Aw=

( )
36 34A =

A =



Choice A 
Choice B 
Choice C 

QUESTION 6

17

170






10
100




( )
 

17
QUESTION 7

14

46 2 2ab=+

relationship between the side lengths
a
and
b

Substituting
for
a

( )
 b=+

  b=+




 b=


2

14 b=

a =

b
is
14
QUESTION 8
Choice B 

x

y




and
4
pounds of tangerines for a total of


y
4x =

4x =

10y =


4
pounds of tangerines for a total of


10

Choice A 

4



Choice C 
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 1
35 P PRACTICE TEST #1 ANSWER EXPLANATIONS

2
pounds of tangerines for a total of

Choice D is


1
pound of tangerines for a total of

QUESTION 9
Choice A 
64

area
A

2
As
= 
s
is the

64
for
A

2
64 s=

s=


Choice B 
ChoiceC 
Choice D 

QUESTION 10
Choice A 
c

m

and Connor has
4


4cm=

of


25cm+=


4cm=
and
25cm+=
represents this

Choice B 
4mc=

4

4
Choice C 
25cm=
represents a situation where Connor has
25

4


4cm+=
represents a situation where Connor and




Choice D 


25


4


4cm+=
represents a situation where Connor and




QUESTION 11
Choice C 
16dt=

d
represents the

t


t

16


16

best interpretation of
16

16

Choice A Choice B 
This is the best interpretation of
16t

16
Choice D is

PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 1
36 P PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 12
Choice C 

2x =
to
3x =

6x =
to
7x =

2x =


o

and when
3x =


o



2x =
to
3x =
was greater than
( )
o
  -

o


6x =

o

and when
7x =


o



6x =
to
7x =
was less than
( )
o
  -

o



2x =
to
3x =
Choice A 
6x =
to
7x =

2x =
to
3x =
ChoiceB

5x =
to
6x =

Choice D 
1x =
to
2x =


QUESTION 13



 =

 =

112

( )
( )
( )
 
 
112 furlongs



QUESTION 14



j

m


( )
 j =

12
for
x
and


( )
jx

( )
  m=+

144

( )
126 12m-=

12

 m-=


-
for
m

( )
144j x mx=+

( )
 jx x=- +

10
for
x

( ) ( )( )
   j =- +

( )
 j =

( )
10j
is

QUESTION 15
Choice B 
y =

Substituting

for
y

 x=-

to both

 x=

4

7 x=

7x =
and
y =

( )
xy


( )

Choice A 
ChoiceC 
ChoiceD 
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 1
37 P PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 16
Choice D 

22
xy-

( )( )
x yx y-+

2
256 676w -

( )
2
2
16 26w -

( )( ) ( )( )
16 16 26 26ww-


( )( )
16 26 16 26ww-+
Choice A 
2
  ww-+

Choice B 
2
 w -
Choice C is

2
  ww-+
QUESTION 17
Choice C 
( )
xy

x


y


( )


( )
 -


( )


x
and their

y

Choice A 
ChoiceB 
ChoiceD 
QUESTION 18
Choice A 
j

k
in the xy
It follows that the slope of line
j

k


k

y mx b=+

m
is

b
is the yy
follows that the slope of line
k
is
3

1-

3
is
1
3
-

slope of line
j
is
1
3
-
Choice B 
ChoiceC 
ChoiceD 
QUESTION 19
Choice A 



  xy+=

x


y

x

x


x


dollars




Choice B 
selling
y
Choice C 
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 1
 P PRACTICE TEST #1 ANSWER EXPLANATIONS
Choice D 

x


QUESTION 20







width of




with area
( )( )
2
  

( )( )
2
  

( )( )
2
  

2


( )( ) ( )( ) ( )( )
     ++


QUESTION 21

5

3

2
6 50xx- -=

5

2
65xx-=


2
  xx- -=

2
6xx-
is
5
QUESTION 22
Choice C 

( ) ( )
22
dd d-- -


( )
( )
( )( ) ( )
( )
( )( )
22
 dd d d+ - +- +- -

( )
( )
32
 dd d+- +- +

32
 d dd- -+

( )
( )
2
 dd--

32
 d dd
- -+
Choice A 
ChoiceB 
ChoiceD 
QUESTION 23
Choice B 


lengths of


20

c
represent the length of this

2 22
  c+=

2
 c=


 c=

4 74 c=


4 74
Choice A 
ChoiceC 
ChoiceD 
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 1
 P PRACTICE TEST #1 ANSWER EXPLANATIONS
QUESTION 24
Choice A 


and


70
and
100



and









has a greater



100


70




Choice B 
ChoiceC 
ChoiceD 
QUESTION 25
Choice A 

3

xy+=

xy
If the xy
xyx
r
and y

77
r
-+

r
for
x
and

77
r
-+
for
y

xy+=

( )

77
 rr+- + =


rr- +=


=

( )

77
rr-+


r

( )

77
rr-+
xy

Choice B 
ChoiceC 
ChoiceD 
QUESTION 26
Choice B 

x


of the total sales

s
dollars in

expression
xs+

earnings to be at least
3

4


3x
and
4x


 xx s x£+ £

x


 x sx££

PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 1
40 P PRACTICE TEST #1 ANSWER EXPLANATIONS



23
 
xs x££

23
 
xs x££

s


Choice A 

2

3

rather than at least
3

4
Choice C is


3

4

Choice D 
earnings are at least
4

5

3


4

QUESTION 27



a
is

less than the

b

( )
70
100
1ab=-

( )
ab=-


ab=

c


greater than
a

( )
60
100
1ca=+

( )
ca=+

ca=

ab=

substituting
b
for
a

ca=

( )
 cb=

cb=

c
is


b


41 P PRACTICE TEST #1 ANSWER EXPLANATIONS

n
MATH: MODULE 2
Math
Module 2
(27 questions)
QUESTION 1
Choice B 
20
buttons in a bag and
of the




20
Choice A 
Choice C 
Choice D 

QUESTION 2
Choice B 





x

x


x







y

y

y

preparing
x

y

 xy+




x

y


  xy+=

Choice A 








Choice C 

1

than


1



Choice D 










42 P PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 2
QUESTION 3
Choice A 
to
1


1

that there are
40

1
of
the
40

( )
1
40

5
Choice B 
Choice C Choice D is

pens is
1
to
QUESTION 4
Choice D 
for
x

( ) ( )
 f =+

( )
f =

( )
fx
when
x =
is

Choice A 
( )
fx

x =
Choice B is

( )
fx

x =
Choice C 

( )
fx

x =
QUESTION 5
Choice D 

when it



first
12

x






x

or
x

y






 x


 yx=+
Choice A Choice B 
Choice C 

QUESTION 6

35



24



  x+ +=

x
is the


 x+=




35x =

35
QUESTION 7




( ) ( )
 x+=

 x+=

2 60x+=

 x+
is

43 P PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 2
QUESTION 8
Choice C 





( )








320

Choice A 
ChoiceB 
ChoiceD 
QUESTION 9
Choice A yxy
( )
xy
on the graph where
0x =

0x =

of y is
6-
y
( )
 -
Choice B Choice C 
Choice D 

QUESTION 10
Choice B x
and the y
in the xy
y

1

x



m
xy

( )
11
xy
and
( )
22
xy


21
21
yy
xx
m
-
-
=

( )

and
( )



( )
11
xy
and
( )
22
xy



20
m
-
-
=


2
m =

40m =


40
Choice A 
ChoiceC 
ChoiceD 
QUESTION 11
Choice B 




angles is
 -



the triangle is
51

angle is
 -


Choice A 
ChoiceC 
ChoiceD 

44 P PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 2
QUESTION 12
Choice B 

shown is
  ++ + +



5



5

16
Choice A 
ChoiceC 
ChoiceD 
QUESTION 13

12

( )
36f

( )
fx
when
36x =

Substituting
36
for
x

( )
36 6 36f =+


( )
36 6 6f =+

( )
36 12f =

( )
36f
is
12
QUESTION 14



3 11y =

11
for
3y

xy+=


 x +=

11

x =
QUESTION 15
Choice B 
35


r

35

r
hours

35r


40

j


40

j

40 j



35 40rj+


220

35 40 220rj+<
represents

Choice A 

220

ChoiceC 

40

35


35

40


220
Choice D 

40

rather than
35

35

rather than
40

45 P PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 2
QUESTION 16
Choice A 
42b cf=


b

c

f

42f

42
b
f
c=

42
b
f
c =

42
b
f
c =

c

b
and
f
Choice B 
42b cf=+
Choice C is

42
c
f
b =
Choice D 

42b cf= --
QUESTION 17
Choice D 
p

c






spent


  pc+=
represents this


2cp=

2p
for
c

  pc+=

( )
  pp+=

  pp+=

 p =



2p =

2

p

2cp=

( )
22c =

4c =

4

Choice A 
Choice B 
Choice C 

QUESTION 18
Choice C 

x

y

xy
through the points
( )
11
xy
and
( )
22
xy

21
21
yy
xx
-
-


( )

and
( )


( )

for
( )
11
xy
and
( )

for
( )
22
xy

21
21
yy
xx
-
-



10 0
-
-

7
10
-

-


-

Choice A 
Choice B 
Choice D 

46 P PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 2
QUESTION 19
Choice A 
 yx=+

20 110x££

y


x





for
x


for
x

( )
  y =+

y =

41


Choice B 
with

Choice C 


ChoiceD



QUESTION 20

161


greater than
115


( ) ( )
 +

( ) ( )
100 40
100 100
115 115+

( ) ( )
  +

( )
 

161

161
is

greater than
115
QUESTION 21

17



j

17

k

17
QUESTION 22
Choice D 
( ) ( )
 
x
fx=


x


( )
fx


x

( )
f

of
( )
fx
when
x =

( )
f



( )
fx


when
x =


( )
f







Choice A Choice B 
Choice C 

47 P PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 2
QUESTION 23
Choice A 
m
xy

( )
11
xy

( )
22
xy

21
21
yy
xx
m
-
-
=


x
and
y
in the
xy
( )
 n-+

( )
 n-+

( )
n

n

( )
 n-+
and
( )
n

( )
11
xy
and
( )
22
xy

( )
( )

03
nn
m
-+
--
=



03
nn
m
--
+
=


3
m =-

represents this relationship in the xy

3
-
Choice B 
ChoiceC 
ChoiceD 
QUESTION 24
Choice C 
2
ab
π

a

b


r
and a height of
h


2
rh
π


R
and a height of
H


2
RH
π

7Rr=
and
Hh=

Substituting
7r
for
R
and
h
for
H


( ) ( )
2
rh
π

( )
( )
2
 rh
π

( )
2
rh
π

( )
2
 rh
π




2
rh
π

7Rr=
and
Hh=

R


r

H

h

Choice A 
r
for
R
and
7h
for
H
in the expression that

( ) ( )
2
rh
π

( )
( )
2
64 7rh
π


( )
2
rh
π

( )
2
 rh
π



not

Choice B 
Substituting
r
for
R
and
h
for
H


( ) ( )
2
rh
π

( )
( )
2
 rh
π

( )
2
rh
π

( )
2
 rh
π





Choice D 
r
for
R
and
h
for
H


( ) ( )
2
 rh
π

( )
( )
2
 rh
π

( )
2
rh
π

( )
2
 rh
π






 P PRACTICE TEST #1 ANSWER EXPLANATIONS
PSAT 8/9 ANSWER EXPLANATIONS
n
MATH: MODULE 2
QUESTION 25
Choice B 
30


( )
 
is
5

n
with length


there are
5 n´

5n



6

with length







sides are
n

6

5n

30

6 5 30nn++ =


6 6 30n +=


n

6 6 30n +=
Choice A 
ChoiceC 
ChoiceD 
QUESTION 26
Choice D 
55
integers between
170
and


the integer
10

10









Choice A 
ChoiceB 
ChoiceC 
QUESTION 27

66

22

( )









V

3



2
1
3
V rh
π
=

h
is the



r



22
for
h
and
3
for
r

( ) ( )
2
1
3
3 22V
π
=

66V
π
=


3
 
π

3
n
π


n
is
66