Quiz about Math 8 Final Exam Study Guide - Spring 2025

Question 1

The decimal expansion 3.24 can be represented by which rational number?

Accepted Answer

324/99

Answer

107/33

Answer

81/25

Answer

324/10

Question 2

The square root of 1,000 is between ________ .

Accepted Answer

98 and 102

Answer

498 and 502

Answer

48 and 52

Answer

28 and 32

Question 3

$$8.0 imes 10^5 + 6.0 imes 10^7 =$$

Accepted Answer

C. 60,800,000

Answer

A. 14,000,000,000,000

Answer

B. 140,000,000

Answer

D. 68,000,000

Question 4

What is the difference between the maximum weights of the saltwater crocodile and the common ostrich?

Accepted Answer

4,050 pounds

Answer

90 pounds

Answer

345.6 pounds

Answer

43,650 pounds

Question 5

$$12^5 ÷ 12^4$$

Accepted Answer

$$12^9$$

Answer

$$12^20$$

Answer

$$14^{49}$$

Answer

$$14^{20}$$

Question 6

How many times greater is the average professional basketball player's salary than the average American worker's salary?

Accepted Answer

150 times greater

Answer

10 times greater

Answer

50 times greater

Answer

500 times greater

Question 7

Which statement correctly classifies Frank's claims?

Accepted Answer

C. Frank is correct in Claim 1 but is incorrect in Claim 2 as the value of $$2^x · 2^y$$ can be a whole number when only one of x or y is negative.

Answer

A. Frank is correct in both Claim 1 and Claim 2 as both pairs of examples prove the given claims.

Answer

B. Frank is incorrect in both Claim 1 and Claim 2 since both pairs of examples are not sufficient to prove the given claims.

Answer

D. Frank is incorrect in Claim 1 since the value of $$2^x · 2^y$$ is sometimes a whole number when x and y are both negative but is correct in Claim 2.

Question 8

When did Peter apply the distributive property?

Accepted Answer

from the given to step 1

Answer

from step 1 to step 2

Answer

from step 3 to step 4

Answer

from step 4 to step 5

Question 9

On a quiz, students were awarded a certain number of points for a correct answer and penalized a certain number of points for an incorrect answer. If a student answered all the questions on the quiz and had c correct answers, her score on the quiz was 25c - 10(15 - c). How many questions were on the quiz?

Accepted Answer

25

Answer

10

Answer

15

Answer

35

Question 10

What is the solution to the equation?

Accepted Answer

1

Answer

3/2

Answer

0

Answer

3/4

Question 11

A rental car costs a one time fee of $150 and then an additional $80 for each day it is rented. If the Nawa family's total bill was $470, how many days did they rent the car?

Accepted Answer

4

Answer

2

Answer

3

Answer

6

Question 12

Based on the expression, how much is the amount of discount on each sandwich over 20 sandwiches?

Accepted Answer

$0.50

Answer

$0.02

Answer

$2.50

Answer

$2.98

Question 13

Which equation represents the line shown in the graph?

Accepted Answer

y = (1/4)x

Answer

y = 4x

Answer

y = -(1/4)x

Answer

y = -4x

Question 14

Ben had $100 in his savings account. He adds the same amount of money to his savings every week, as shown in the graph below. According to this graph, how much money does he have in his savings account at 15 weeks?

Accepted Answer

$160

Answer

$150

Answer

$175

Answer

$200

Question 15

Which points are solutions of the equation?

Select TWO that apply.

Accepted Answer

A. (0, 500)

Accepted Answer

E. (500, 0)

Answer

B. (80, 120)

Answer

C. (100, 600)

Answer

D. (300, 300)

Question 16

Which of these functions has the same domain as the function graphed below?

Accepted Answer

y = 3/(x-1)

Answer

y = 3/(x+1)

Answer

y = (x-1)/3

Answer

y = (x+1)/3

Question 17

Susan earns $15 for 2 hours

of babysitting and $30 for 4 hours of babysitting.

Jim's fee in dollars, d, for h hours of babysitting is given by the equation d = 7h + 10. Which statement is true?

Accepted Answer

Susan charges $7.00 an hour, which is equal to Jim's hourly rate.

Answer

Susan charges $7.50 an hour, which is higher than Jim's hourly rate.

Answer

Jim charges $7.00 an hour, which is higher than Susan's hourly rate.

Answer

Jim charges $10.00 an hour, which is higher than Susan's hourly rate.

Question 18

Which equation describes the relationship between t, the time in hours, and N, the number of pages remaining in the book?

Accepted Answer

N = -40t + 360

Answer

N = -40t - 360

Answer

N = 40t + 360

Answer

N = 40t - 360

Question 19

What is the value of the y-coordinate where this line crosses the y-axis?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 20

After tennis practice, Wong places tennis balls into canisters. He can use up to 10 canisters, and he places exactly 3 tennis balls into each canister. The number of tennis balls placed into canisters is a function of the number of canisters. Which statements are true regarding the domain and range of this function? Select all that apply.

Accepted Answer

B. The domain of the function is all whole numbers from 0 to 10.

Accepted Answer

D. The range of the function is all multiples of 3 from 0 to 30.

Answer

A. The domain of the function is all real numbers from 0 to 10.

Answer

C. The domain of the function is all whole numbers from 0 to 30.

Answer

E. The range of the function is all whole numbers from 0 to 30.

Question 21

The relationship between the number of days a public radio station spends fundraising per year and the number of dollars it receives in donations during that year can be modeled by the equation y = 8000x + 98,000, where x is the number of days fundraising and y is the number of dollars donated. How much does 7 days of fundraising add to the amount donated?

Accepted Answer

$56,000

Answer

$8000

Answer

$14,000

Answer

$154,000

Question 22

Which of the following lines would be the best fit for the data points plotted in the scatter plot below?

Accepted Answer

y = 0.7x + 7.2

Answer

y = -7.2x + 0.7

Answer

y = -0.7x + 7.2

Answer

y = 7.2x + 0.7

Question 23

A sandwich shop makes home deliveries. The average amount of time from when an order is placed until when it is delivered can be modeled by the equation y = 2.5x + 5, where x is the number of miles between the shop and the delivery location and y is the time in minutes. According to the model, which statements are true? Select TWO that apply.

Accepted Answer

The average amount of time the shop needs to prepare the food for delivery is 5 minutes.

Accepted Answer

On average, it takes the delivery person 2.5 minutes to travel 1 mile.

Answer

The average amount of time the shop needs to prepare the food for delivery is 2.5 minutes.

Answer

On average, the delivery person travels 2.5 miles every 1 minute.

Answer

On average, it takes the delivery person 5 minutes to travel 1 mile.

Question 24

A movie distributor found that the relationship between the amount it spends on advertisements for a particular movie and the amount of money the movie takes in can be modeled by the equation y = 1.2x + 24, where x is the amount spent on advertisements in millions of dollars and y is the amount taken in by the movie in millions of dollars. According to the model, how much should the movie distributor spend on advertisements if it wants the movie to take in $36,000,000?

Accepted Answer

$10,000,000

Answer

$20,000,000

Answer

$30,000,000

Answer

$50,000,000

Question 25

The scatter plot represents the probability of taking a family trip by car given the price of fuel per gallon. Which of the statements are true? Choose all that are correct.

Accepted Answer

The results are less clustered at values in the $$2.25 to $$ 2.60 per gallon range.

Accepted Answer

When the price per gallon is less than $2.70, the relationship between price per gallon and probability of travel is negative.

Answer

There are no outliers in the scatter plot.

Answer

When price per gallon is $2.70 or higher, there is no relationship between the price and the probability of travel.

Answer

The relationship between price per gallon and probability of travel is linear.

Question 26

Olivia added the linear equations -4x + 9y = 19 and 5x - 9y = -17 together and got x = 2. She then substituted the value of x back into one of the equations and simplified to get y = 3. How many solutions are there to the system of equations?

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 27

Which statement describes the solution to the system of equations?

Accepted Answer

There is an infinite number of solutions to the system of equations.

Answer

There is exactly one solution, (2, 4).

Answer

There is exactly one solution, (8, 32).

Answer

There is no solution to the system of equations.

Question 28

How many minutes did it take Erin to wash the car?

Accepted Answer

29

Answer

31

Answer

22

Answer

18

Question 29

Solve the following system for y: 2x - 15y = -10 -4x + 5y = -30

Accepted Answer

2

Answer

10

Answer

2x - 40

Answer

-2

Question 30

Line segment DE is graphed on the coordinate plane below. What is the length of segment DE?

Accepted Answer

5 units

Answer

3 units

Answer

4 units

Answer

7 units

Question 31

A right triangle has a leg measuring 24 units. Which of these statements are correct? Select three that apply.

Accepted Answer

If the length of the hypotenuse is 26 units, the length of the other leg is 10 units.

Accepted Answer

If the length of the hypotenuse is 28 units, the length of the other leg is 14 units.

Accepted Answer

If the length of the hypotenuse is 30 units, the length of the other leg is 18 units.

Answer

If the length of the hypotenuse is 25 units, the length of the other leg is 7 units.

Math 8 Final Exam Study Guide - Spring 2025

40 questions

Is √15 located between points M and N on the number line below?

Which of the following expressions are greater than 7 and less than 14? Select all that apply.

The decimal expansion 3.24 can be represented by which rational number?

What should be Tamar’s next step?

The square root of 1,000 is between ________ .

What is the difference between the maximum weights of the saltwater crocodile and the common ostrich?

How many times greater is the average professional basketball player's salary than the average American worker's salary?

Which statement correctly classifies Frank's claims?

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