AnswersMathematics 8Input-Output Relationships

Practice Test Answers

18 verified answers
1
Free Preview

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

A
The graph does not have a constant rate of change.
B
The slope is negative.
C
When the x -value is 0 , the y -value is 1 .
D
The relationship is proportional.
2
Free Preview

Nate went on a trip, and he used a table of values to repeatedly record the time he had been traveling and the distance from his starting point. The function represented by the table of values is linear, and the rate of change is 50 miles per hour. What is one way for Nate to determine the initial value?

A
By repeatedly subtracting 50.
B
By repeatedly dividing by 50.
C
By repeatedly adding 50.
D
By repeatedly multiplying by 50.
3

Sung-Hi is filling a sandbox with sand at the rate shown in the table. Which statement must be true regarding the linear function that represents this situation? Amount of Sand in the Sandbox Number of Minutes Since Sung-Hi Started 0 1 2 3 4 Amount of Sand in the Sandbox (pounds) 200 220 240 260 280

A
The initial value must be 0 pounds.
B
The initial value must be 20 pounds.
C
The rate of change must be 0 pounds per minute.
D
The rate of change must be 20 pounds per minute.
4

Which graph represents a function?

A
Image with description A coordinate plane with a sideways parabola opening to the right. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The curve has its vertex at approximately negative 1 comma 0 on the x-axis. The upper arm of the curve extends upward and to the right, ending near the point 3 comma 3. The lower arm of the curve extends downward and to the right, ending near the point 3 comma negative 3.
B
Image with description A coordinate plane with a straight line of negative slope. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The line extends from the upper-left area of the plane near negative 4 comma 4, passing through the origin area, and continues to the lower-right, ending near the point 0 comma negative 2. The line has a steep negative slope.
C
Image with description A coordinate plane with an S-shaped curve. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The curve extends from the upper-left area of the plane with an arrow near negative 3 comma 5 pointing upward to the left. The curve descends with a decreasing negative slope through the center of the plane, passing through approximately 0 comma 0 at the origin, then continues to descend with an increasing negative slope into the lower-right area of the plane, ending with an arrow near 3 comma negative 5 pointing downward to the right.
D
Image with description A coordinate plane with two parallel straight lines of positive slope. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The first line extends from the lower-left area of the plane near negative 3 comma negative 5 to the upper-right area near 0 comma 4. The second line extends from the lower-left area near negative 1 comma negative 5 to the upper-right area near 2 comma 4. Both lines have the same steep positive slope and are spaced approximately 2 units apart horizontally.
5

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
6
C
2 thirds
D
3 halves
6

Which equation represents a direct variation?

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

A line passes through the points open paren 9 comma 30 close paren and open paren 18 comma 30 close paren Which statement is true about the line?

A
It has no slope because the change in the y -values is 0 .
B
It has no slope because the change in the x -values is 0 .
C
It has a slope of zero because the change in the y -values is 0 .
D
It has a slope of zero because the change in the x -values is 0 .
8

Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f⁡(x)=3,500−225⁢x Which statements about the situation are true? Choose three correct answers.

A
The pool was empty after 14 hours.
B
The water level is rising.
C
The water was 2 comma 600 units high after 4 hours.
D
The initial level of water in the pool was 225 units.
E
The initial level of water in the pool was 3 comma 500 units.
F
The water level is falling.
9

A function is defined by f⁡(x)=3⁢x+1 What is f⁡(10) ?

A
11
B
31
C
14
D
311
10

Sanjay said that if a line has a slope of zero, then it never touches the x -axis. Which line proves that his statement is incorrect?

A
x is equal to 0
B
x is equal to 1
C
y is equal to 0
D
y is equal to 1
11

Which description is the best interpretation of the graph?

A
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.
B
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.
C
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.
D
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.
12

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

A
The graph increases.
B
The graph decreases.
C
The graph decreases, then increases.
D
The graph increases, then decreases.
13

Based on the graph of the line, which describes the relationship between the value of the y -intercept and the value of the slope?

A
The y -intercept is 3 , and the slope is 1 third .
B
The y -intercept is 1 third , and the slope is 1 third .
C
The y -intercept is 3 , and the slope is 3 .
D
The y -intercept is 1 third , and the slope is 3 .
14

Which table describes a linear function that has a slope of 2 ?

A
Table 2
B
Table 4
C
Table 1
D
Table 3
15

What is the rate of change of the function?

A
1 third
B
negative 3
C
negative 1 third
D
3
16

The line segment is extended to cross both axes. What is the location of the y -intercept on the line?

A
open paren 0 comma negative 22 close paren
B
open paren 0 comma negative 10 close paren
C
open paren 0 comma negative 5 close paren
D
open paren 0 comma 5 close paren
17

Which ordered pair could be the missing values represented by x comma y ?

A
5 comma 19 point 5
B
0 comma 18
C
8 comma 20
D
10 comma 21 point 5
18

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

Did you find these answers helpful?

More from this Course

Quiz
25 verified answers

Test

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz

Practice Test Answers — Mathematics 8