AnswersFL-1205050-MJ Accelerated Mathematics Grade 7Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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Jorge wrote the equation . What is the value of x?

Question illustration
A
–4
B
–2
C
2
D
4
2
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Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.Which statement about the scatterplot is true?

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A
The point (17, 12) could cause the description of the data set to be overstated.
B
The point (17, 12) could cause the description of the data set to be understated.
C
The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant.
D
Although (17, 12) is an extreme value, it should be part of the description of the relationship between number of hours of darkness and the height of the plant.
3

What is the slope of the line that passes through the points (–20, 18) and (30, 14)?

A
Negative StartFraction 25 Over 2 EndFraction
Option A
B
Negative five-halves
Option B
C
Negative two-fifths
Option C
D
Negative StartFraction 2 Over 25 EndFraction
Option D
4

Latesha justifies whether the expression 4x – 3 is equivalent to by letting in both expressions. Which values should Latesha compare to justify whether the expressions are equivalent?

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A
2 and 5
B
5 and 9
C
5 and 5
D
9 and 9
5

In the table, x represents the age in years of a collectible baseball card, and y represents its value in dollars. Cost of a Pack of Baseball CardsAge in years, xValue in dollars, y50.75105.751510.752015.75Which statement is correct about the slope of the linear function that the table represents?

A
The slope is positive because as the age decreases, the value increases.
B
The slope is positive because as the age increases, the value increases.
C
The slope is negative because as the age decreases, the value decreases.
D
The slope is negative because as the age increases, the value decreases.
6

What is the unit rate depicted in the graph?

Question illustration
A
0.75 laps in one minute
B
1.25 laps in one minute
C
3 laps in 4 minutes
D
4 laps in 3 minutes
7

An auto mechanic charges $50 to diagnose a problem and $25 per hour to repair the problem. If x represents the total number of hours worked and y represents the total charges, which equation represents this situation?

A
y = 25x + 50
B
y = 50x + 25
C
y = 50x – 25
D
y = 25x – 50
8

Which shows the correct method for solving the equation below?

Question illustration
A
A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 6, y = 18. Column 2 is labeled property used with entries distributive property, addition property of equality, multiplication property of equality.
Option A
B
A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 27 = 3, one-third y = 30, y = 10. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.
Option B
C
A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 1, one-third y = 4, y = 12. Column 2 is labeled property used with entries distributive property, addition property of equality, division property of equality.
Option C
D
A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 0, y = 0. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.
Option D
9

There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does this situation represent a linear or non-linear function, and why?Hours vs. MinutesHoursMinutes1602120318042405300

A
It represents a linear function because there is a constant rate of change.
B
It represents a linear function because there is not a constant rate of change.
C
It represents a non-linear function because there is a constant rate of change.
D
It represents a non-linear function because there is not a constant rate of change.
10

A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation?

A
1200 = 40 (40) + b
Option A
B
1560 = 30 (40) + b
Option B
C
1560 = 30 (52) + b
Option C
D
1200 = 52 (30) + b
Option D
11

The table below shows the participation in the town soccer league during its first five seasons.Town Recreational Soccer League ParticipationYearNumber of participants188295310041085115Which is the equation of the trend line that can be generated by using the data from years 1 and 5?

A
y = 6.75 x minus 688.25
Option A
B
y = 6.75 x minus 1.75
Option B
C
y = 6.75 x + 81.25
Option C
D
y = 6.75 x + 81.25
Option D
12

A car travels 18 miles per gallon of gas used. Which equation best represents the proportional relationship between the y miles that the car has traveled and the x gallons of gasoline that it has used?

A
y = StartFraction 18 over x EndFraction
Option A
B
y = 18 x
Option B
C
y = StartFraction x over 18 EndFraction
Option C
D
y = x + 18
Option D
13

What is the slope of the trend line drawn into the scatterplot?

Question illustration
A
StartFraction 15 Over 163 EndFraction
Option A
B
StartFraction 11 Over 109 EndFraction
Option B
C
StartFraction 109 Over 11 EndFraction
Option C
D
StartFraction 163 Over 15 EndFraction
Option D
14

Rachel drew the two graphs below.Graph RGraph SRachel says that Graph R has a greater constant of variation than Graph S. Which statement explains whether Rachel is correct?

Question illustration
A
Rachel is correct; Graph S is nonproportional.
B
Rachel is correct; Graph R goes farther along the x-axis.
C
Rachel is not correct; both graphs go through the origin and have the same constant of variation.
D
Rachel is not correct; Graph S is steeper than Graph R.
15

The equation is written in point-slope form. What is the y-intercept of the line?

Question illustration
A
–4
B
–2
C
20
D
22
16

Which equation represents the line passing through points A and C on the graph below?

Question illustration
A
y= negative x minus 1
Option A
B
y = negative x + 1
Option B
C
y = x minus 1
Option C
D
y = x + 1
Option D
17

Meg is printing a term paper for class at the rate shown in the table below. If the term paper is 60 pages long, how many total minutes will it take to print out? Assume that the printer prints the pages at a constant rate.Meg’s Term Paper Printing ProgressTime (minutes)34567Pages Printed7.51012.51517.5

A
20 minutes
B
24 minutes
C
150 minutes
D
180 minutes
18

The table of values below shows data for a five-word spelling test.Number of Letters vs. Percentage who Spelled CorrectlyWordNumber of letters in the wordPercentage of students who spelled the word correctly17482912357346595827Which describes how the data for word 2 should be plotted on a coordinate grid?

A
From the origin, go 2 units to the right and 9 units up.
B
From the origin, go 2 units to the right and 12 units up.
C
From the origin, go 9 units to the right and 12 units up.
D
From the origin, go 12 units to the right and 9 units up.
19

A standard deck of cards has 52 cards, 13 of each of the 4 suits: hearts, diamonds, clubs, and spades. After shuffling the deck, Linbo deals the cards to his friends for the game. Which expression can be used to find the probability that the first three cards that he deals are all hearts if none of them are replaced?

A
(StartFraction 13 over 52 EndFraction) (StartFraction 12 over 52 EndFraction) (StartFraction 11 over 52 EndFraction)
Option A
B
(StartFraction 13 over 52 EndFraction) (StartFraction 12 over 51 EndFraction) (StartFraction 11 over 50 EndFraction)
Option B
C
(StartFraction 13 over 52 EndFraction) (StartFraction 13 over 52 EndFraction) (StartFraction 13 over 52 EndFraction)
Option C
D
(StartFraction 13 over 52 EndFraction) (StartFraction 13 over 51 EndFraction) (StartFraction 13 over 50 EndFraction)
Option D
20

Johan used the table below to show the sample space for choosing an outfit for school.Which outfit is part of Johan’s sample space?

Question illustration
A
black pants, white shirt
B
gray pants, green shirt
C
blue pants, brown shirt
D
white pants, white shirt

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