AnswersTransition Mathematics for SeniorsLinear Functions

Practice Test Answers

14 verified answers
1
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What was her mistake?

A
She got the sign of the slope wrong.
B
She mixed up the slope and the y -intercept.
C
She found the reciprocals of the slope and the y -intercept.
D
She got the sign of the y -intercept wrong.
2
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Which table describes a linear function that has a slope of 2 ?

A
Table 3
B
Table 2
C
Table 1
D
Table 4
3

Two points defining a linear function are shown in the table. x y negative 14 negative 18 negative 10 negative 12 What is the slope of the function?

A
2
B
2 thirds
C
3 halves
D
6
4

Timmy writes the equation f of x is equal to 1 fourth x minus 1 He then doubles both of the terms on the right side to create the equation g of x is equal to 1 half x minus 2 . How does the graph of g of x compare to the graph of f of x ?

A
The line of g of x is steeper and has a lower y -intercept.
B
The line of g of x is less steep and has a higher y -intercept.
C
The line of g of x is steeper and has a higher y -intercept.
D
The line of g of x is less steep and has a lower y -intercept.
5

Raphael graphed the functions g⁡(x)=x+2 and f⁡(x)=x−1. How many units below the y-intercept of g⁡(x) is the y-intercept of f⁡(x)? Open image in full-screen view

A
2 units
B
3 units
C
negative 1 units
D
negative 3 units
6

Which equation represents a direct variation?

A
y is equal to x plus 5
B
x y is equal to 5
C
y is equal to 0 point 5 x
D
x minus y is equal to 5
7

Which description is the best interpretation of the graph?

A
Sonya backed out of her driveway at a constant speed and then accelerated until she reached the street where the movie was playing. She stopped the car.
B
Sonya drove down her driveway at a constant speed until she reached the street. She turned and drove down the street at a constant speed. Her car went slower as she drove up a hill. At the top of the hill she drove into the parking lot of the movie theater.
C
Sonya accelerated as she drove down her driveway. She accelerated on the street on her way to the highway entrance. She waited for a red light, then accelerated onto the highway.
D
Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.
8

Which expression finds the equation of the line?

A
y over x is equal to 1 fourth
B
y over 4 is equal to x over 1
C
y over 1 is equal to 4 over x
D
y over x is equal to 4 over 1
9

Why is Li incorrect in saying that the graph shows a direct variation?

A
The relationship is proportional.
B
The graph does not have a constant rate of change.
C
When the x -value is 0 , the y -value is 1 .
D
The slope is negative.
10

What is the equation of the line?

A
y is equal to 3 x plus 3
B
y is equal to 3 fourths x plus 3
C
y is equal to 4 thirds x plus 3
D
y is equal to 4 x plus 3
11

How does the given graph change between point cap A and point cap b ?

A
The graph increases, then decreases.
B
The graph increases.
C
The graph decreases.
D
The graph decreases, then increases.
12

What are the slope and the y -intercept of the linear function that is represented by the table?

A
The slope is negative 3 , and the y -intercept is negative 1 half .
B
The slope is 3 , and the y -intercept is negative 1 half .
C
The slope is 3 , and the y -intercept is 3 halves .
D
The slope is negative 3 , and the y -intercept is 3 halves .
13

What is the rate of change of the function?

A
1 third
B
negative 3
C
3
D
negative 1 third
14

The given table represents the amount of money in Sylvester’s bank account as a function of the number of years since he opened the account. Does this situation represent a linear or non-linear function, and why?

A
It represents a non-linear function because there is a constant rate of change.
B
It represents a linear function because there is a constant rate of change.
C
It represents a non-linear function because there is not a constant rate of change.
D
It represents a linear function because there is not a constant rate of change.

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