Answers2025-2026_MDCPS_1205070-MJ Grade 8 Pre-Algebra Sem 1-CRInterpreting Graphs

Interpreting Graphs — Unit test Answers

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1
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Based on the graph of the line below, which describes the relationship between the value of the y-intercept and the value of the slope?

Question illustration
T
The y-intercept is 3, and the slope is .
Option T
T
The y-intercept is , and the slope is 3.
Option T
T
The y-intercept is 3, and the slope is 3.
T
The y-intercept is , and the slope is .
Option T
2
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What is the point-slope form of a line that has a slope of and passes through point (–7, 2)?

Question illustration
A
2 minus y = one-half (7 minus x)
Option A
B
7 minus y = one-half (negative 2 minus x)
Option B
C
y minus 7 = one-half (X minus 2)
Option C
D
y minus 2 = one-half (x minus (negative 7))
Option D
3

What is the y-intercept of a line that has a slope of –3 and passes through point (–5, 4)?

–
–17
–
–11
7
7
1
19
4

This function models the relationship between the hours worked, x, and the amount of money earned, f(x). Which choices could be elements of the domain of the function? Check all that apply.

Question illustration
5
5
2
200
2
25.5
D
Option
Option D
7
77
Option 7
–
–10
–
–43.5
–
–113
Option –
5

For spring cleanups, a landscaper charges a flat fee of $60 plus $20 for each hour of labor. Which equation models the cost in dollars, c, for a cleanup that requires h hours of labor?

A
c = StartFraction h Over 20 EndFraction + 60
Option A
B
c = StartFraction 20 Over h EndFraction + 60
Option B
C
c = 20 h + 60
Option C
D
c = 20 + 60 h
Option D
6

The number of pounds of dog food that a pet store has is represented by the equation , where x represents the number of days that the store is open and y represents the pounds of dog food in stock in the store. How many pounds of dog food will the pet store have after 21 days?

Question illustration
9
92
1
115
3
315
3
336
7

What is modeled by the graph segment between B and C?

Question illustration
A
The height is remaining constant over time.
B
The time is remaining constant while the height changes.
C
The height is increasing.
D
The height is decreasing.
8

Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was watering can be represented by a linear function and is shown in the graph below. Which statement is correct?

Question illustration
A
The amount of water originally in Wilson’s can was 0 gallons.
B
The amount of water originally in Wilson’s can was 2.5 gallons.
C
Wilson is watering his garden at a rate of 0 gallons per second.
D
Wilson is watering his garden at a rate of 2.5 gallons per second.
9

A local public library decides to track the number of hours that a certain computer is being used. The table represents the number of hours, y, which is dependent on the number of days, x. xy321537753What is the linear equation that represents this situation?

A
y = 8 x + 45
Option A
B
y = 8 x minus 3
Option B
C
y = 2 x + 16
Option C
D
y = 2 x minus 32
Option D
10

A computer technician charges a flat base fee plus an hourly rate for all repairs. Last year, she used the formula to determine the cost in dollars, y, of a repair that required x hours of work. If she doubles her base fee this year, what equation should she use to determine the new cost of an x-hour repair?

Question illustration
A
y = 18 x + 44
Option A
B
y = 36 x + 22
Option B
C
y = 36 x + 44
Option C
D
2 y = 18 x + 22
Option D
11

Which representation represents a proportional relationship?Ax2468y681012BCDx471215y8142430

Question illustration
A
A
B
B
C
C
D
D
12

Which equation represents a direct variation?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

How does the graph change between point A and point C?

Question illustration
T
The graph increases, then decreases.
T
The graph decreases, then remains constant.
T
The graph decreases, then increases.
T
The graph increases, then remains constant.
14

Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours.Which statements about the situation are true? Check all that apply.

Question illustration
T
The water level is rising.
T
The water level is falling.
T
The initial level of water in the pool was 3,500 units.
T
The initial level of water in the pool was 225 units.
T
The pool was empty after 14 hours.
T
The water was 2,600 units high after 4 hours.
15

Inez has a phone card. The graph shows the number of minutes that remain on her phone card after a certain number of days. The slope of the line that represents the data is –50, and the y-intercept is 850. What do the slope and y-intercept represent in Inez’s situation?

Question illustration
A
The y-intercept indicates that the phone card started with 850 minutes. The slope indicates that 50 minutes were used per day.
B
The y-intercept indicates that the phone card started with 50 minutes. The slope indicates that 850 minutes were used per day.
C
The slope indicates that the phone card started with 850 minutes. The y-intercept indicates that 50 minutes were added per day.
D
The slope indicates that the phone card started with 50 minutes. The y-intercept indicates that 850 minutes were added per day.

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