Answers2025-2026_MDCPS_1205070-MJ Grade 8 Pre-Algebra Sem 1-CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

30 verified answers1 views
21
Free Preview

Vladas believes that an equation with a squared term is never a function of x. Which equation can be used to show Vladas that his hypothesis is incorrect?

A
x + y2 = 25
B
x2 – y = 25
C
x2 + y2 = 25
D
x2 – y2 = 25
22
Free Preview

What is the value of x in the equation ?

Question illustration
A
Negative StartFraction 7 Over 4 EndFraction
Option A
B
Negative one-fourth
Option B
C
StartFraction 3 Over 20 EndFraction
Option C
D
Three-halves
Option D
23

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.
24

Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?

A
y = 6 x + 18. y = 2 x minus 6.
Option A
B
y = 6 (x + 18). Y = 2 (x minus 6).
Option B
C
y = one-sixth x + 3. y = one-half x + 6.
Option C
D
y = one-sixth x + 3. y = one-half x + 3.
Option D
25

Multiply 2.4x by –5x.

A
–2.6x
B
–12x
C
–2.6x2
D
–12x2
26

A daycare facility charges a fee for every minute that a parent is late after the facility’s published closing time. The table represents the fee, y, which is dependent on the number of minutes late, x. xy5328501168Which of the following linear equations represents the situation?

A
y = 3 x + 22
Option A
B
y = 6 x + 36
Option B
C
y = 6 x + 2
Option C
D
y = 24 x + 36
Option D
27

After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.According to Katie’s model, what is the probability that three randomly chosen students will all stay after school for extracurricular activities today?

A
StartFraction 1 over 729 EndFraction
Option A
B
StartFraction 1 over 216 EndFraction
Option B
C
StartFraction 1 over 18 EndFraction
Option C
D
StartFraction 1 over 6 EndFraction
Option D
28

A piano instructor charges students a one-time fee for sheet music and an hourly rate for lessons. The graph below shows the total cost for a student who has taken x lessons. Total Cost of Piano LessonsTo increase her number of students, the instructor put a coupon in the local paper offering to waive the one-time fee for new students. What is the value of the coupon?

Question illustration
A
$14
B
$20
C
$30
D
$50
29

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
30

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
31

The table shows the number of games a team won and lost last season. Wins and Losses Last Season Number of GamesWins24Losses16Greg has tickets to six of the team’s games this season. He is designing a simulation, using last year’s wins and losses, to predict whether the team will win or lose each of the games he attends.Which tool is most appropriate for use in a simulation that fits the data?

A
a coin with one side representing a win and the other representing a loss
B
a 6-section spinner with congruent sections, 4 representing a win and 2 representing a loss
C
a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss
D
an 8-sided die with 5 sides representing a win and 3 sides representing a loss
32

Which is the best description for the graph?

Question illustration
A
The graph increases, remains constant, then increases again.
B
The graph decreases, remains constant, then decreases again.
C
The graph increases, remains constant, then decreases.
D
The graph decreases, remains constant, then increases.
33

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
34

A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for the service to clean a certain number of square feet within a home.Square Feet and Cleaning TimeNumber of Square Feet, x5080100150Time in Minutes, y20324060Based on the table, how many minutes would it take for the service to clean 200 square feet?

A
20 minutes
B
80 minutes
C
125 minutes
D
400 minutes
35

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
36

What is the domain of the function represented by these ordered pairs? {(–2, 1), (0, 0), (3, –1), (–1, 7), (5, 7)}

A
{–2, –1, 0, 3, 5}
B
{–1, 0, 1, 7}
C
{–2, –1, 0, 1, 3, 5, 7}
D
{0, 1, 2, 3, 5}
37

Which is the solution to the equation ? Round to the nearest tenth if necessary.

Question illustration
A
1.4
B
4
C
18.2
D
27
38

Tiana compares the length of a name on a nameplate to the number of letters in the name. She draws the scatterplot below, and then she plots and determines an equation for the trend line. NameplatesBased on the information above, which is the best estimate of the number of letters that a name contains if the nameplate is 6 inches long?

Question illustration
A
3
B
4
C
10
D
12
39

Minnie graphs the temperature over a 24-hour period. Which type of graph should she use?

A
a discrete graph
B
a continuous graph
C
a bar graph
D
a histogram
40

The graph for the equation is shown below. If another equation is graphed so that the system has one solution, which equation could that be?

Question illustration
A
y = 2 (x + 1)
Option A
B
y = 2 (x minus 1)
Option B
C
y = 2 (x minus 2)
Option C
D
y = negative 2 (x + 1)
Option D

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Comparing Functions in the Real World

Quiz
10 verified answers

Unit Test

Quiz
10 verified answers

Interpreting Graphs