Free Printable Grade 8 Math Review (Jan. 3)

1.

What is the domain of the relation {(1, -2), (2, 0), (3, 2), (4, 3)}?

a)

{1, 2, 3, 4}

b)

{-2, 0, 2, 3}

c)

{0, 1, 2, 3}

d)

{-2, 1, 3, 4}

2.

What is the range of the relation {(1, -1), (2, 0), (3, 1), (4, 2)}?

a)

{1, 2, 3, 4}

b)

{-1, 0, 1, 2}

c)

{0, 1, 2, 3}

d)

{-2, 1, 3, 4}

3.

If f(x) = 2x + 3, what is f(4)?

a)

14

b)

11

c)

9

d)

8

4.

If f(n) = 2n + 1, what is f(-5)?

a)

-9

b)

-8

c)

11

d)

9

5.

If f(x) = 2(x + 1), what is f(3)?

a)

10

b)

9

c)

8

d)

7

6.

If f(g) = 5m - 4, what is f(2)?

a)

6

b)

16

c)

14

d)

10

7.

What is the value of y when x = -3 in the function y = 2x + 1?

a)

-5

b)

-6

c)

-7

d)

-8

8.

What is the value of y when x = 0 in the function y = 2x + 1?

a)

1

b)

0

c)

2

d)

-1

9.

What is the value of y when x = 3 in the function y = 2x + 1?

a)

7

b)

6

c)

5

d)

4

10.

What is the domain of the function shown in the diagram?

a)

{-2, 0, 2, 4}

b)

{-8, 0, 8, 16}

c)

{0, 1, 2, 3}

d)

{-4, -2, 0, 2}

11.

What is the range of the function shown in the diagram?

a)

{-8, 0, 8, 16}

b)

{-2, 0, 2, 4}

c)

{0, 1, 2, 3}

d)

{-4, -2, 0, 2}

12.

Identify the domain of the following relation:

a)

{-6, 14, 2, 28}

b)

{(-6,14), (0,32), (2,38), (4,44)}

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

13.

State the domain of the following relation:

{(1, 5), (3, 7), (6, 8), (8, 9), (3, 4)}

a)

{4, 5, 7, 8, 9}

b)

{1, 3, 6, 8}

c)

(1,5)

d)

{(1, 5), (3, 7), (6, 8), (8, 9), (3, 4)}

14.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

c)

the set of all the outputs of a function

d)

my domain is my bedroom

15.

State the range of the following relation:

{(1, 5), (3, 7), (6, 8), (8, 9), (3, 4)}

a)

{4, 5, 7, 8, 9}

b)

{1, 3, 6, 8}

c)

(1,5)

d)

{(1, 5), (3, 7), (6, 8), (8, 9), (3, 4)}

16.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

17.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

18.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

19.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

20.

a)

2/3

b)

-2/3

c)

3/5

d)

-3/5

21.

The √40 is between which two consecutive whole numbers?

a)

7 & 8

b)

4 & 5

c)

5 & 6

d)

6 & 7

22.

Which of the following is a perfect square?

a)

24

b)

48

c)

81

d)

110

23.

The √40 is between which two consecutive whole numbers?

a)

7 & 8

b)

4 & 5

c)

5 & 6

d)

6 & 7

24.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

25.

Express the fraction 7/9 as a decimal.

a)

0.8

b)

0.88888...

c)

0.7

d)

0.777777...

26.

Write 0.35 as a fraction in simplest form.

a)

35/100

b)

3.5/10

c)

7/20

d)

3/10

27.

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

28.

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

29.

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

30.

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

31.

The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?

a)

1

b)

10

c)

100

d)

1,000

32.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

33.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

34.

Which of the following in the LARGEST number?

a)

9 x 10⁶

b)

8 x 10¹⁰

c)

1.3 x 10¹²

d)

5.3 x 10³

35.

Which of the following numbers is the SMALLEST?

a)

8.7 x 10³

b)

3 x 10⁴

c)

1.3 x 10⁸

d)

9 x 10²

36.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

37.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

38.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

39.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

40.

How do you write 2 x 2 x 2 x 2 with an exponent?

a)

4²

b)

2⁴

c)

2²

41.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

42.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

43.

Write $\left(\frac{2}{5}\right)^4$ as repeated multiplication.

a)

$\left(\frac{2}{5}\right)\left(\frac{3}{5}\right)\left(\frac{2}{5}\right)\left(\frac{3}{5}\right)$

b)

$\left(\frac{2}{3}\right)\left(\frac{2}{5}\right)\left(\frac{2}{3}\right)\left(\frac{2}{5}\right)$

c)

$\left(\frac{2}{3}\right)\left(\frac{2}{3}\right)\left(\frac{2}{3}\right)\left(\frac{2}{3}\right)$

d)

$\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)$

44.

m ⋅ m⁵⋅ m⁶

a)

m³⁰

b)

m¹²

c)

12m

d)

mm¹¹

45.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

46.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

47.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

48.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

49.

Is the relation a function?

a)

Function

b)

Not a Function

50.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; it does not pass the vertical line test

51.

m-17=-8

a)

m=-25

b)

m=9

c)

m=-9

d)

m=16

52.

-42=6y

a)

y=7

b)

y=6

c)

y=-7

d)

y=-6

53.

x/6=-4

a)

x=-24

b)

x=-26

c)

x=26

d)

x=24

54.

5r=60

a)

r=15

b)

r=-15

c)

r=12

d)

r=11

55.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

56.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Add 7

d)

Subtract 7

57.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

58.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

59.

Which statement best describes the relationship of x and y in the table?

a)

Proportional

b)

Not Proportional

60.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

61.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

62.

Does this graph represent a proportional relationship?

a)

No, because it doesn't pass through the origin.

b)

Yes, because it doesn't pass through the origin.

c)

Yes, because it intersects the y axis.

d)

No, because it intersects the x axis.

63.

Which statement best describes the relationship between x and y in the table?

a)

Proportional

b)

Not Proportional

64.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

65.

How do you find k?

a)

x/y

b)

y/x

c)

y=kx

d)

x ⋅ y

66.

Is this graph proportional?

a)

Yes

b)

No

67.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

1/14

68.

Is the given table a proportional relationship? If so, write an equation that relates y to x.

a)

Yes; y=1/3x

b)

Yes; y=3x

c)

Yes; y=5x

d)

No

69.

Which equation represents a proportional relationship?

a)

y = x + 3

b)

y = x - 9

c)

y = 7x

d)

y = 4x + 1

70.

Write the equation for the table given.

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

Grade 8 Math Review (Jan. 3)

Total questions: 70

Worksheet time: 3hrs 36mins

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