Free Printable 8th Grade Review (Units 1-6)

1.

Which pair of cards show a shape and its image after a rotation?

a)

1 and 4

b)

2 and 6

c)

3 and 5

2.

What transformation is shown?

a)

Reflection

b)

Rotation

c)

Translation

3.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

right 2, down 5

b)

right 2, down 9

c)

left 2, up 9

d)

left 2, down 9

4.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

5.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

6.

Does the image show a dilation?

a)

Yes

b)

No

7.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

8.

_{What is the y-intercept of the line?}

a)

(-1,0)

b)

(-1,-3)

c)

(1,1)

d)

(0-1)

9.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

10.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

11.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

12.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

13.

Is this graph a function?

a)

Function

b)

Not a Function

14.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

15.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

16.

Simplify. $4x^3\cdot2x^3$

a)

$6x^9$

b)

$8x^9$

c)

$6x^6$

d)

$8x^6$

17.

Simplify. $\frac{1}{2^{-4}}$

a)

$8$

b)

$16$

c)

$\frac{1}{8}$

d)

$\frac{1}{16}$

18.

Simplify. $x^9\cdot x^{-7}$

a)

$x^{-63}$

b)

$x^{-16}$

c)

$x^2$

d)

$x^{-2}$

19.

(5²)³

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

20.

Simplify the expression. Use positive exponents only. $\frac{a^{12}}{a^7}$

a)

$\frac{1}{a^5}$

b)

$a^{\frac{12}{7}}$

c)

$a^{19}$

d)

$a^5$

21.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

22.

Try to change the number back to standard form: 6.79 x 10⁴

a)

679,000

b)

6,790

c)

67,900

d)

6,790,000

23.

Write the answer in scientific notation.

5.3 x 10⁵ + 3.7 x 10⁵ =

a)

99.0 x 10⁵

b)

9.9 x 10¹⁰

c)

8.0 x 10⁵

d)

9.0 x 10⁵

24.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

25.

Is the number rational or irrational?

a)

Rational

b)

Irrational

26.

Is the number rational or irrational?

a)

Rational

b)

Irrational

27.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

28.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

29.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

30.

Which of the following has the greatest value?

a)

5.1

b)

$\sqrt[]{25}$

c)

$-\sqrt[]{36}$

d)

$\sqrt[]{35}$

31.

Which of the following has a value between 5 and 6.

a)

$4.\overline{9}$

b)

$\sqrt[]{25}$

c)

$\sqrt[]{35}$

d)

$\sqrt[]{49}$

32.

Johnathan is painting the side of his home. He has a 25 foot ladder and leans the ladder against his house. The base of the ladder is five feet from the side of the house. How far up the house will the ladder reach?

a)

24.5 ft

b)

25.5 ft

c)

26.5 ft

d)

23.5 ft

33.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

34.

Find the volume to the nearest whole number using 3.14 instead of Pi.

a)

151 ft³

b)

152 ft³

c)

150 ft³

d)

150.72 ft³

35.

V = ?

a)

150.72 mm³

b)

904.32 mm³

c)

2,712.96 mm³

36.

Volume = ?

a)

1,356 m³

b)

1,734 m³

c)

377 m³

d)

590 m³

37.

Find the volume of the figure.

a)

1,800 cm³

b)

900 cm³

c)

600 cm³

d)

750 cm³

8th Grade Review (Units 1-6)

Total questions: 37

Worksheet time: 3hrs 30mins

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