Free Printable Math 8 Review

1.

What is the difference between a rational number and an irrational number?

a)

Rational numbers do not include repeating decimals. Irrational numbers do.

b)

Rational numbers refer only to terminating decimals. Irrational numbers are non-terminating.

c)

A rational number can be expressed as fraction. An irrational number cannot.

d)

Rational numbers are real numbers. Irrational numbers are imaginary numbers.

2.

True or False: A repeating decimal cannot be expressed as a fraction.

a)

True

b)

False

3.

True or False: A repeating decimal is a rational number.

a)

True

b)

False

4.

$\frac{3}{4}$

a)

Rational

b)

Irrational

5.

$-9.5$

a)

Rational

b)

Irrational

6.

$\sqrt{36}$

a)

Rational

b)

Irrational

7.

$\sqrt{15}$

a)

Rational

b)

Irrational

8.

$\pi$

a)

Rational

b)

Irrational

9.

Put in the symbol to make the statement true...
-17.5 _________ -√121

a)

>

b)

<

c)

=

10.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

11.

Which list of numbers is in order from least to greatest?

A. 5/8, 9/16, 5/12

B. 5/12, 9/16, 5/8

C. 9/16, 5/12, 5/8

D. 9/16, 5/8, 5/12

a)

A

b)

B

c)

C

d)

D

12.

A non-ending, non-repeating decimal is which type of number?

a)

Rational

b)

Irrational

13.

a)

√81 = 9

b)

9 ÷ 9 = 1

c)

9 × 2 = 18

d)

√9 = 3

14.

What is 25 squared?

a)

50

b)

5 & -5

c)

625

d)

125

15.

What is the square root of 25?

a)

50

b)

5, -5

c)

625

d)

125

16.

What is 16 squared?

a)

8

b)

256

c)

4 & -4

d)

32

17.

What is the square root of 16?

a)

8

b)

256

c)

4 & -4

d)

32

18.

Which of the following is the best approximation of $\sqrt{10}$ ?

a)

3.2

b)

3.6

c)

4

d)

3

19.

Which of the following is the best approximation of $\sqrt{70}$ ?

a)

8.4

b)

8.7

c)

8

d)

9

20.

What is the cube root of 27?

a)

9

b)

3

c)

-3

d)

-9

21.

The volume of a cube is 1,000 cm³. What is the length of each side of the cube?

a)

1

b)

10

c)

100

d)

300

22.

√100

a)

15

b)

10

c)

11

d)

12

23.

√16

a)

4

b)

8

c)

2

d)

9

24.

Evaluate.

a)

20

b)

200

c)

√200

d)

±20

25.

Evaluate.

a)

5

b)

7

c)

25

d)

49

26.

Evaluate.±

a)

±13

b)

±14

c)

14

d)

13

27.

y²= 64

a)

±8

b)

8

c)

±32

d)

32

28.

x² = 16

a)

4

b)

8

c)

±8

d)

±4

29.

m³= 512

a)

8

b)

± 8

c)

7

d)

± 9

30.

a³ = 216

a)

6

b)

± 6

c)

108

d)

-6

31.

Solve the following equation for y:

y^2=225

a)

y = 6

b)

y = 6 or -6

c)

y = 15

d)

y = 15 or -15

32.

What is the side length, s, of a square with an area of

100\ m^2

?

a)

s = 10

b)

s = 10 or -10

c)

s = 50

d)

s = 50 or -50

33.

What is the side length, s, of a cube with a volume of

125\ in^3

?

a)

s = 11

b)

s = $\pm$ 11

c)

s = 5

d)

s = $\pm$ 5

34.

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

35.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

36.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

37.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

38.

Which number is correctly written in scientific notation?

a)

5.67 x 10⁵

b)

56.7 x 10³

c)

0.567 x 10⁶

39.

Which number is correctly written in scientific notation?

a)

8.2 x 10²

b)

82 x 10⁷

c)

3.45 x 9⁴

40.

Which number is correctly written in scientific notation?

a)

3.2867 x 10^-7

b)

21.8689 x 10^-4

c)

0.1537 x 10⁵

41.

Write in standard form:
8 x 10⁴

a)

8,000

b)

80,000

c)

.00008

42.

Write in standard form:
6.254 x 10⁶

a)

6,254,000

b)

6,254,000,000

c)

625,400

43.

Write in standard form:
7.3003 x 10^-5

a)

.000073003

b)

.0000073003

c)

730,030

44.

Write in scientific notation:
540,020,000

a)

5.4002 x 10⁸

b)

5.4 x 10⁸

c)

5.4002 x 10⁴

45.

What is the slope of this line?

(a)

46.

What is the slope of this line?

(a)

47.

What is the slope of the line that passes through (4, 12) and (5, 16)?

(a)

48.

What is the slope of the line that passes through the points (2,8) and (1, 13)?

(a)

49.

What letter is used to represent slope?

a)

y

b)

m

c)

x

d)

b

50.

Determine the slope from the table.

a)

-2

b)

2

c)

-1/2

d)

1/2

51.

What is the slope of the graph of $y=16x-7$

a)

$-7$

b)

$-\frac{16}{7}$

c)

$\frac{7}{16}$

d)

$16$

52.

What is the slope of the graph of $y=-8x+23$

a)

$-8$

b)

$23$

c)

$8$

d)

$-23$

53.

What is the y- intercept of the graph of y = -5x + 6

a)

5

b)

-5

c)

6

d)

-6

54.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

55.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

56.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

57.

Write the equation of a line with a slope of -3 and y intercept of 8

a)

x = 8

b)

y = -3

c)

y = 8x -3

d)

y = -3x + 8

58.

What does the "b" stand for in y=mx+b?

a)

slope

b)

x-intercept

c)

y-intercept

59.

What letter represents the slope of a line in the equation y = mx + b?

a)

y

b)

m

c)

x

d)

b

60.

The variable "b" in the equation of a line, is sometimes called the

a)

slope

b)

initial value

c)

boring value

d)

rate of change

Math 8 Review

Total questions: 60

Worksheet time: 1hrs 19mins

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