Quiz about 8th Grade Forward Math Practice Test

Question 1

The table shows the approximate populations of four countries in 2023. Select the two statements that are true based on the information in the table. Select two options.

Accepted Answer

C. The population of Vietnam is approximately 1.4 times the population of Thailand.

Accepted Answer

D. The population of Thailand is approximately 10 times the population of Nicaragua.

Answer

A. The population of Nicaragua is approximately 7 times the population of Tonga.

Answer

B. The population of Tonga is approximately 700 times the population of Thailand.

Answer

E. The population of Nicaragua is approximately 1,000 times the population of Vietnam.

Question 2

Which table does not represent a function?

Accepted Answer

B.

| x | y |

| -2 | 7 |

| -1 | 6 |

| 0 | 5 |

| -1 | 4 |

Answer

A.

| x | y |

| -2 | 4 |

| -1 | 4 |

| 0 | 1 |

| 1 | 4 |

Answer

C.

| x | y |

| 4 | -1 |

| 5 | -2 |

| 6 | -3 |

| 7 | -4 |

Answer

D.

| x | y |

| 4 | 1 |

| 5 | 0 |

| 6 | 1 |

| 7 | 4 |

Question 3

An equation is shown. 8 - 2(x + 10) = 4x - 6 What is the value of x?

Accepted Answer

C. -1

Answer

A. -33

Answer

B. -8

Answer

D. 4

Question 4

A farmer is plowing her fields. She has already plowed 12 acres. The farmer continues to plow at a constant rate so that she will have plowed a total of 36 acres after 4 hours. Which equation could the farmer use to find the number of acres, y, she will have plowed after x hours?

Accepted Answer

y = 6x + 12

Answer

y = 9x + 12

Answer

y = 12x + 6

Answer

y = 12x + 9

Question 5

The coordinates of two opposite vertices of square PQRS are (2, 1) and (5, 4). Square PQRS is dilated by a scale factor of 2 to create square P'Q'R'S'. The dilation is centered at the origin. What are the coordinates of the vertices of square P'Q'R'S'?

Accepted Answer

(4, 2), (10, 8), (4, 8), (10, 2)

Answer

(1, 0.5), (2.5, 2), (1, 2), (2.5, 0.5)

Answer

(0, 0), (7, 5), (0, 5), (7, 0)

Answer

(4, 2), (5, 4), (2, 1), (10, 8)

Question 6

A new company hired 24 employees. Some of the employees work 40 hours each week, and the rest work 20 hours each week. In total, the 24 employees work 740 hours each week. How many of the 24 employees the company hired work 40 hours each week?

Accepted Answer

13

Answer

11

Answer

12

Answer

16

Question 7

Ana is graphing function F on a coordinate plane. Which statement is true about the maximum number of different outputs of function F for an input value of 2?

Accepted Answer

A. Regardless of the input value, for any function, there can be only one output for every input, so there is a maximum of one output.

Answer

B. The maximum number of outputs is always half the value of the input, so when the input value is 2, there is a maximum of one output.

Answer

C. The maximum number of outputs is always the same as the value of the input, so when the input value is 2, there is a maximum of two outputs.

Answer

D. Regardless of the input value, for any function, there could be both a positive and a negative output value, so there is a maximum of two outputs.

Question 8

What percentage of the total number of students questioned were 12th graders?

Accepted Answer

41%

Answer

30.%

Answer

55%

Answer

62%

Question 9

The graph of a line is shown on the coordinate plane. Which equation represents the graphed line?

Accepted Answer

y = -2x + 3

Answer

y = -1/2x + 3

Answer

y = 3x - 2

Answer

y = 3x - 1/2

Question 10

Yuri is comparing two linear functions.

- Linear function A can be represented by the equation y= 3x - 4

- Some of the values of linear function B are shown the table.

Which statement about the two functions is correct?

Accepted Answer

C. The rate of change of function B is less than the rate of change of function A; the y-intercept of function B is greater than the y-intercept of function A.

Answer

A. The rate of change of function B is greater than the rate of change of function A; the y-intercept of function B is greater than the y-intercept of function A.

Answer

B. The rate of change of function B is greater than the rate of change of function A; the y-intercept of function B is less than the y-intercept of function A.

Answer

D. The rate of change of function B is less than the rate of change of function A; the y-intercept of function B is less than the y-intercept of function A.

Question 11

Rounded to the nearest tenth of an inch, what is the distance from vertex B to vertex G?

Accepted Answer

14.5

Answer

9.4

Answer

12.1

Answer

13.6

Question 12

Three players are attempting to beat a video game in the fastest time. The times for each of their first ten attempts are shown on the scatterplot. Which statement about the scatterplot is correct?

Accepted Answer

B. There is a negative, nonlinear association on the scatterplot.

Answer

A. There is a negative, linear association on the scatterplot.

Answer

C. There is a positive, linear association on the scatterplot.

Answer

D. There is a positive, nonlinear association on the scatterplot.

Question 13

A system of linear equations is shown. y = 2x - 4 y - 4 = 2x How many solutions does the system of equations have?

Accepted Answer

0 (none)

Answer

1

Answer

2

Answer

infinite

Question 14

A relationship is shown in the table. Write an equation in slope-intercept form (y = mx + b) to represent the relationship.

Accepted Answer

y = -2x + 7

Answer

y = 2x - 7

Answer

y = 2x + 7

Answer

y = -2x - 7

Question 15

A science class graphs the temperature of a liquid based on the length of time since the start of an experiment on the coordinate grid shown. What is the length of time, in minutes, during which the temperature of the liquid remains the same?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 16

Thomas has a cup shaped like a cone and a cup shaped like a cylinder. - Both cups have the same height. - The circular tops of the two cups have the same radius. Thomas completely fills the cone cup with water twice and empties it into the cylinder cup. Which fraction of the volume of the cylinder cup is filled with water?

Accepted Answer

C. $$\frac{2}{3}$$

Answer

A. $$\frac{1}{3}$$

Answer

B. $$\frac{1}{2}$$

Answer

D. 1

Question 17

An expression is shown. $$\frac{9.6 imes 10^6}{1.2 imes 10^{-2}}$$ Which expression is equivalent to the given expression?

Accepted Answer

A. $$8 imes 10^8$$

Answer

B. $$8 imes 10^4$$

Answer

C. $$11.52 imes 10^{-3}$$

Answer

D. $$11.52 imes 10^{-12}$$

8th Grade Forward Math Practice Test

27 questions

The table shows the approximate populations of four countries in 2023. Select the two statements that are true based on the information in the table. Select two options.

4. Which of the following numbers is irrational?

Which table does not represent a function?

An equation is shown. 8 - 2(x + 10) = 4x - 6 What is the value of x?

A farmer is plowing her fields. She has already plowed 12 acres. The farmer continues to plow at a constant rate so that she will have plowed a total of 36 acres after 4 hours. Which equation could the farmer use to find the number of acres, y, she will have plowed after x hours?

A school is recording the amount of time it takes students to go through the lunch line. The scatterplot shows the data collected on several days last month. Which line best fits the school’s data, and why?

The coordinates of two opposite vertices of square PQRS are (2, 1) and (5, 4). Square PQRS is dilated by a scale factor of 2 to create square P'Q'R'S'. The dilation is centered at the origin. What are the coordinates of the vertices of square P'Q'R'S'?

A new company hired 24 employees. Some of the employees work 40 hours each week, and the rest work 20 hours each week. In total, the 24 employees work 740 hours each week. How many of the 24 employees the company hired work 40 hours each week?

Ana is graphing function F on a coordinate plane. Which statement is true about the maximum number of different outputs of function F for an input value of 2?

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