Free Printable Midterm - 8th Grade Math

1.

The table shows y as a function of x. Which ordered pairs can also belong to the function?

Select TWO correct answers

a)

A. (-4, 3)

b)

B. (-2, 3)

c)

C. (4,3)

d)

D. (6,8)

e)

E. (9,8)

2.

Which values of x make the inequality true?

$x>\frac{28}{5}$

a)

$2\sqrt[]{11}$

b)

5.28

c)

-8

d)

$\frac{19}{3}$

e)

$\sqrt[]{34}$

3.

Desmond wants to attend a college that costs $15,000 for the first year. Desmond’s family has saved $6,000, and he has applied for a $1,500 scholarship. To have the full amount needed to pay for the year’s tuition, his family will set aside a fixed amount of money each month for the next 12 months to have enough money to pay for his first year of college?

Select the correct answers

If Desmond wins the scholarship, his family will need to save a minimum of ___ (a) _______ per month.

If Desmond does not win the scholarship, his family will need to save a minimum of _____ (b) ___ per month.

Choose from the below words

$750

$500

$1125

$1250

$625

4.

The graph of a linear function is shown on the coordinate grid.

What is the slope and the y-intercept of the function?

Slope: (a)

y- intercept ( (b) , (c) )

Choose from the below words

$\frac{1}{4}$

0

-2

2

4

-\frac{1}{2}

5.

The value of y is 3 more than twice the opposite of x. Which of these represent this relationship?

Select TWO correct answers.

a)

$y=-2x+3$

b)

c)

d)

e)

6.

Which list shows the number in order from least to greatest?

a)

$-\frac{4}{3}\ \ -0.43\ \ \ \sqrt[]{3}\ \ \ \frac{5}{2}$

b)

$-0.43\ \ \ -\frac{4}{3}\ \ \ \sqrt[]{3}\ \ \ \ \frac{5}{2}$

c)

$-\frac{4}{3}\ \ \ -0.43\ \ \ \frac{5}{2}\ \ \ \sqrt[]{3}$

d)

$\frac{5}{2}\ \ \ \sqrt[]{3}\ \ \ -0.43\ \ \ -\frac{4}{3}$

7.

The area of a square wall is 182 square feet. Which measurement is closest to the side length in feet of this wall?

a)

A. 91.0 ft

b)

B. 13.5 ft

c)

C. 54.0 ft

d)

D. 45.5 ft

8.

The Venn diagram below shows the relationship among several sets of numbers

Where should $-\sqrt[]{169}$ 169 be placed in the Venn diagram?

a)

A. Whole numbers, because $-\sqrt[]{169}$ is equal to 13.

b)

B. Irrational, because $-\sqrt[]{169}$ is equal to -84.5.

c)

C. Integers, because $-\sqrt[]{169}$ is equal to -13.

d)

D. Rational numbers, because $-\sqrt[]{169}$ is equal to -84.5.

9.

A bus travels 25 miles in 30 minutes. Which graph has a slope that best represents the number of miles per minute the bus travels?

a)

b)

c)

d)

10.

Triangle RVT and triangle RBS are similar triangles. Which proportion represents the slope of the line containing R, S, T?

a)

b)

c)

d)

11.

Josh is saving money to buy a computer. He put the initial amount he has saved into a jar. Each month he puts an additional amount of money into the jar. The table shows the linear relationship between the number of months Josh has added money to the jar, s, and the total amount of money in the jar, y.

a)

The initial amount Josh put in the jar was $225.

b)

The initial amount Josh put in the jar was $75.

c)

The amount of money Josh adds to the jar each money is $45.

d)

The amount of money Josh adds to the jar each month is $60.

12.

A bookshelf contains 15 books that each have the same width. The combined width for all 15 books is 12 inches. Which graph has a slope that best models the width of each book?

a)

b)

c)

d)

13.

Jerri paid $2.52 for 6 oranges. Each orange costs the same amount. Which function can be used to find the total cost in dollars, c, for purchasing n oranges?

a)

A. c = 0.42n

b)

B. c = 2.52n

c)

C. c = 6n

d)

D. c = 15. 12n

14.

The two lines graphed on the coordinate grid represent a system of equations. Which ordered pair is the solution of the system of equations?

a)

A. (5,4)

b)

B. (0,-5)

c)

C. (8,3)

d)

D. (4,5)

15.

Parallelogram PQRT is shown. Which statement proves that parallelogram PQRT is a rectangle?

a)

A. 15² – 8² = TQ²

b)

B. 8 + 15 + TQ

c)

C. 15 - 8 = TQ

d)

D. 8² + 15² = TQ²

16.

The volume of a cylinder is 87.35 cubic inches, and the radius is 5.17 inches. Which equation can be used to find h, the height of the cylinder in inches?

a)

$h=\frac{87.35}{\left(5.17\right)^2}$

b)

$h=\frac{\left(5.17\right)^2}{87.35}$

c)

$h=\frac{87.35}{\pi\left(5.17\right)^2}$

d)

$h=\frac{\pi\left(5.17\right)^2}{87.35}$

17.

A business owner invested $10,500 into an account that pays 1.2% annual simple interest. No additional deposits or withdrawals will be made. Which amount is closest to the interest earned on the account at the end of 4 years?

a)

A. $504

b)

B. $11,004.00

c)

C. $126

d)

D. $10,626

18.

The graph shows the relationship between x and y. Which statement is true?

a)

A. The graph shows a non-proportional relationship because the graph has a negative slope.

b)

B. The graph shows a non-proportional relationship because the graph does not contain the origin.

c)

C. The graph shows a proportional relationship because the x and y intercepts both contain 7.

d)

D. The graph shows a proportional relationship because the graph passes through 3 different quadrants.

19.

Four pairs of similar triangles are shown. Based on the triangles shown, which similarity about the fourth pair of triangles is true to complete the table?

a)

Triangle TUV ~ Triangle PRQ

b)

Triangle TVU ~ Triangle PQR

c)

Triangle TUV ~ Triangle PQR

d)

Triangle TVU ~ Triangle RPQ

20.

The graph of a linear function is shown on the coordinate grid.

What is the y-intercept of the graph of this function?

a)

5

b)

6

c)

$-\frac{7}{8}$

d)

$-\frac{8}{7}$

21.

The area of a piece of land is 4,951,000 square meters. How is this number of square meters written in scientific notation?

a)

$4.951\times10^{-6}$

b)

$4.951\times10^6$

c)

$4,951\times10^3$

d)

$4,951\times10^{-3}$

22.

What value of x makes this equation true?

$15x-21=9-6x$

a)

$\frac{5}{8}$

b)

$\frac{7}{10}$

c)

$\frac{10}{7}$

d)

$\frac{1}{7}$

23.

A business owner opens a new investment account with a $10,000 deposit:

The investment account earns 2.5% interest, compounded annually.
The business owner does not plan to make any deposits or withdrawals.

How much interest will the investment account earn at the end of the first and second years?

Select the correct answers. Not all answers will be used.

The account will earn (a) in interest at the end of the first year.

At the end of the second year the account earned a total of (b) in interest.

Choose from the below words

$250.00

$506.25

$500.00

$562.50

$2500.00

$5000.00

$5625.00

24.

The diagram shows the dimensions of a container in the shape of a cylinder with a lid in the shape of a hemisphere.

Which measurement is closest to the volume of the figure in cubic centimeters?

a)

$141.37\ cm^3$

b)

$197.92\ cm^3$

c)

$254.47\ cm^3$

d)

$311.02\ cm^3$

25.

The diagram shows Squares D, E, and F joined at vertices to form a right triangle.

Which statement is true?

a)

The sum of the areas of Square D and Square F is less than the area of Square E.

b)

The sum of the areas of Square D and Square E Is greater than the area of Square F.

c)

The sum of the areas of Square D and Square F is equal to the area of Square E.

d)

The sum of the areas of Square D and Square E is equal to the area of Square F.

26.

Quadrilateral KLMN is similar to quadrilateral TUVW. Side lengths are given in centimeters.

Which proportion must be true?

a)

$\frac{y}{15}=\frac{22.5}{28}$

b)

$\frac{y}{28}=\frac{5}{22.5}$

c)

$\frac{20}{30}=\frac{5}{x}$

d)

$\frac{15}{20}=\frac{x}{30}$

27.

The graph of a linear function passes through the points ( -2, 70) and (6, -50).

Which equation represents the function?

a)

$y=-\frac{3}{2}x+40$

b)

$y=-\frac{3}{2}x+4$

c)

$y=-15x+4$

d)

$y=-15x+40$

28.

What is the value of x in the equation represented by the tiles?

a)

3

b)

5

c)

-3

d)

-1

29.

Which mapping represents y as a function of x ?

a)

b)

c)

d)

30.

Jessica baked 72 cookies and sold x cookies. Max baked 36 cookies and sold one-fourth as many as Jessica did. How many cookies did Jessica sell if they each the same number of cookies left over?

a)

48

b)

36

c)

24

d)

72

31.

Which table shows a proportional relationship between x and y?

a)

b)

c)

d)

32.

The graph of a linear function is shown on the grid.

Create an equation that represents the relationship shown on the graph.

Select the correct answer for each box. Not all answers will be used.

$y=$ (a) $x+$ (b)

Choose from the below words

$\frac{3}{2}$

6

-4

-\frac{2}{3}

\frac{2}{3}

-\frac{3}{2}

33.

The diagram shows a cone and its dimensions.

Which measurement is closest to the volume of the cone in cubic centimeters?

a)

$314.2\ cm^3$

b)

$340.3\ cm^3$

c)

$754.0\ cm^3$

d)

$942.5\ cm^3$

Midterm - 8th Grade Math

Total questions: 33

Worksheet time: 21mins

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