AnswersMathematics 8Linear Functions

Practice Test Answers

14 verified answers
1
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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 3 .
B
The y -intercept is 1 third , and the slope is 1 third .
C
The y -intercept is 1 third , and the slope is 3 .
D
The y -intercept is 3 , and the slope is 1 third .
2
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Why is Li incorrect in saying that the graph shows a direct variation?

A
The slope is negative.
B
The relationship is proportional.
C
When the x -value is 0 , the y -value is 1 .
D
The graph does not have a constant rate of change.
3

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 5 close paren
B
open paren 0 comma 5 close paren
C
open paren 0 comma negative 10 close paren
D
open paren 0 comma negative 22 close paren
4

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 x -values is 0 .
B
It has a slope of zero because the change in the y -values is 0 .
C
It has a slope of zero because the change in the x -values is 0 .
D
It has no slope because the change in the y -values is 0 .
5

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 rate of change must be 0 pounds per minute.
C
The initial value must be 20 pounds.
D
The rate of change must be 20 pounds per minute.
6

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 1
D
y is equal to 0
7

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 thirds
B
6
C
2
D
3 halves
8

A line has a slope of negative 3 fourths and passes through the point open paren negative 5 comma 4 close paren Which is the equation of the line?

A
y is equal to negative 3 fourths x minus 2
B
y is equal to negative 3 fourths x plus 1 fourth
C
y is equal to negative 3 fourths x minus 1 fourth
D
y is equal to negative 3 fourths x plus 4
9

Which equation represents a direct variation?

A
y is equal to x plus 5
B
x y is equal to 5
C
x minus y is equal to 5
D
y is equal to 0 point 5 x
10

Which situation could best be represented by this linear equation? 2 point 7 5 x plus 3 point 2 5 y is equal to 215

A
Pretzels cost 75 cents more than popcorn bags. The variable x represents the number of popcorn bags sold and y represents the number of pretzels sold. The sales total was 215 dollars .
B
Pretzels cost 50 cents less than popcorn bags. The variable x represents the number of pretzels sold and y represents the number of popcorn bags sold. The sales total was 215 dollars .
C
Popcorn is 50 cents less expensive than pretzels. The variable x represents the number of pretzels sold and y represents the number of popcorn bags sold. The sales total was 215 dollars .
D
There were 50 more popcorn bags sold than pretzels. The variable x represents the number of popcorn bags sold and y represents the number of pretzels sold. The sales total was 215 dollars .
11

Which equation represents a line with a slope of zero?

A
y is equal to 2 x
B
y is equal to 4
C
y is equal to negative 1 half x plus 1 half
D
x is equal to negative 5
12

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 multiplying by 50.
C
By repeatedly dividing by 50.
D
By repeatedly adding 50.
13

The Shake Shack sells large and small shakes. A large shake costs 5 dollars , and a small shake costs 3 dollars On Sunday, the Shake Shack had a total revenue of 479 dollars Which equation can be used to represent x , the number of small shakes sold and y , the number of large shakes sold?

A
5 x plus 3 y is equal to 479
B
479 x plus 479 y is equal to 15
C
4 x plus 4 y is equal to 479
D
3 x plus 5 y is equal to 479
14

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

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

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