Free Printable Math 8 Review Day 2

1.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

2.

-9 - 5

a)

-14

b)

4

c)

-4

d)

45

3.

(-4)(-5)

a)

-9

b)

-20

c)

9

d)

20

4.

-9 • 3 =

a)

-27

b)

27

c)

-28

5.

-32/8

a)

-4

b)

-5

c)

4

d)

24

6.

-7 + -4

a)

-11

b)

-3

c)

3

d)

11

7.

3 + -7

a)

10

b)

4

c)

-10

d)

-4

8.

7 + 2 + (-10) = ?

a)

4

b)

1

c)

-1

d)

19

9.

During the week Jimmy spent $45 eating out, gained $55 mowing lawns and spent $15 on gas. What was Jimmy's change in dollars at the end of the week?

a)

$5

b)

- $5

c)

- $15

d)

$15

10.

$-15\div\left(5\right)$

a)

10

b)

-20

c)

-3

d)

3

11.

1. Select the correct option from the following.

a)

On a number line when we add a positive integer we move to the left

b)

On a number line when we add a positive integer we move to the right.

c)

On a number line when we add a negative integer we move to the right.

d)

On a number line when we subtract a positive integer we move to the right.

12.

2. Select the incorrect option from the following.

a)

when two positive integers are added we get a positive integer.

b)

when two negative integers are added we get a negative integer.

c)

when two negative integers are added we get a positive integer

d)

when a negative integer and positive integers are added we get a negative integer

13.

3. (-8) + (-4) = ?

a)

-4

b)

4

c)

-12

d)

12

14.

4. (8) + (-4) = ?

a)

-4

b)

4

c)

-12

d)

12

15.

5. (-8) + (4) = ?

a)

-4

b)

4

c)

-12

d)

12

16.

6. (-8) - (4) = ?

a)

-4

b)

4

c)

-12

d)

12

17.

7. (8) - (-4) = ?

a)

-4

b)

4

c)

-12

d)

12

18.

8. (-8) - (-4) = ?

a)

-4

b)

4

c)

-12

d)

12

19.

9. (8) - (4) = ?

a)

-4

b)

4

c)

-12

d)

12

20.

10. (-12) - (8) = ?

a)

4

b)

-4

c)

20

d)

-20

21.

11. (-12) - (-8) = ?

a)

4

b)

-4

c)

20

d)

-20

22.

12. (12) - (-8) = ?

a)

4

b)

-4

c)

20

d)

-20

23.

13. (-12) + (-8) = ?

a)

4

b)

-4

c)

20

d)

-20

24.

14. (-12) + (8) = ?

a)

4

b)

-4

c)

20

d)

-20

25.

15. (12) + (-8) = ?

a)

4

b)

-4

c)

20

d)

-20

26.

16. (12) + (8) = ?

a)

4

b)

-4

c)

20

d)

-20

27.

17. (39) + (-12) + (-27) = ?

a)

15

b)

-15

c)

0

d)

68

28.

18. Which of the following statement is false?

a)

product of two positive integers is always positive.

b)

product of two negative integers is always negative.

c)

product of two negative integers is always positive

d)

product of three negative integers is negative.

29.

19. (-4) X (-3) = ?

a)

-12.

b)

-7

c)

7

d)

12

30.

20. (-4) X (3) = ?

a)

-12.

b)

-7

c)

7

d)

12

31.

A positive times a negative will always create a _______.

a)

Negative

b)

Positive

32.

A negative times a negative will create a _______.

a)

Negative

b)

Positive

33.

-2(5) =

a)

10

b)

-10

34.

(-3)(7)

a)

21

b)

-21

35.

(-10)(-10)

a)

100

b)

-100

36.

(-20)(-9)

a)

180

b)

-180

37.

(-3)(-2)(-4)

a)

6

b)

24

c)

-6

d)

-24

38.

5(-10)(-9)

a)

-50

b)

-450

c)

450

d)

50

39.

When a number is next to another number that is in parenthesis you simply multiply.

Example: 2(-7) means 2 x 7

a)

True

b)

False

40.

(-6)(5)

a)

30

b)

-30

41.

Is the product of -5(-2) positive or negative?

Remember a product is the answer to a multiplication problem.

a)

positive

b)

negative

42.

Alex thinks that if you multiply a negative and a positive that you will get a negative answer ALWAYS!
His friend Tyler said he was wrong and the sign in your answer depends on how big and small the numbers are. Who is CORRECT?

a)

Alex

b)

Tyler

43.

Liz said that multiplying 2 negative numbers will give you a positive answer.
Her friend Heather said that was the weirdest thing ever and that your answer is going to be negative. Who is right?

a)

Liz

b)

Heather

44.

$\left(-11\right)\left(-3\right)=$

(a)

45.

$\left(2\right)\left(3\right)\left(-1\right)$

a)

5

b)

-5

c)

6

d)

-6

46.

$-4\cdot-5\cdot7$

(a)

47.

$-3\times5\times\left(-2\right)^2$

a)

-30

b)

30

c)

-60

d)

60

48.

$4^2\times-7$

a)

28

b)

-28

c)

112

d)

-112

49.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

50.

Simplify: (-5p)²

a)

-25p²

b)

25p²

c)

-5p²

d)

5p²

51.

Simplify: (5p⁹q³)(2pq⁷)

a)

7p¹⁰q¹⁰

b)

10p⁹q²¹

c)

10p¹⁰q¹⁰

d)

10p⁸q^-4

52.

Simplify: $\frac{6m^7}{\left(4m^3\right)^2}$

a)

$\frac{6m}{16}$

b)

$\frac{3m}{8}$

c)

$\frac{3}{8m}$

d)

$\frac{3m}{4}$

53.

Simplify: $3n^5\cdot5n^{10}$

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

54.

Simplify: $10x^8\cdot9x$

a)

$90x^8$

b)

$19x^9$

c)

$90x^9$

d)

$19x^9$

55.

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

a)

$16a^8b^9c^9$

b)

$8a^8b^9c^9$

c)

$8a^6b^5c^6$

d)

$16a^5b^5c^6$

56.

Simplify: $\left(3x^5\right)^6$

a)

$18x^{30}$

b)

$729x^{11}$

c)

$3^6x^{30}$

d)

$729x^{30}$

57.

Simplify: $\left(2m\right)^5$

a)

$10m^5$

b)

$32m^5$

c)

$25m^5$

d)

$\frac{1}{2m^5}$

58.

Simplify: $\left(-x^3\right)\left(-5x\right)$

a)

$5x^4$

b)

$-5x^4$

c)

$5x^3$

d)

$-5x^3$

59.

Simplify: $\left(3k^5\right)\left(-2k^3\right)$

a)

$6k^8$

b)

$-6k^{15}$

c)

$6k^{15}$

d)

$-6k^8$

60.

Simplify the following: $\left(4x^3\right)^4$

a)

$16x^7$

b)

$4^4x^7$

c)

$256x^{12}$

d)

$16x^{12}$

61.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

62.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

63.

-3xy³ . (4xy)²

a)

-12x³y⁵

b)

-48x²y⁴

c)

-48x³y⁵

d)

-12x²y⁶

64.

Simplify $\left(\frac{1}{3}\right)^{-3}$

a)

1/9

b)

1/27

c)

27

d)

-27

65.

Simplify

a)

y²

b)

y³⁵

c)

y¹²

d)

y¹⁴

66.

According to exponent rules, when we divide the same base, we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

67.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

68.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

69.

Simplify

a)

y²

b)

y³⁵

c)

y¹²

d)

y¹⁴

70.

Simplify

a)

75x⁶

b)

3x²

c)

75x²

d)

20x⁶

71.

According to exponent rules, when we divide the same base, we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

72.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

73.

Simplify (-4x)⁰

a)

-4x

b)

-4

c)

1

d)

-1

74.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

75.

$\frac{12x^7}{-3x^2}$

a)

$-4x^9$

b)

$-4x^5$

c)

$\frac{4}{x^5}$

d)

$4x^5$

76.

Our first exponent rule says that when you are multiplying two exponents with the same base, you keep the base the same and ________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

77.

Our second rule says that when a power is raised to a power, you should _________ the inner and outer exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

78.

True or False?
10³= 30

a)

true

b)

false

79.

Which number is the base? $2^7=128$

a)

2

b)

7

c)

128

d)

$2^7$

80.

Which number is the base? $2^7=128$

a)

2

b)

7

c)

128

d)

$2^7$

81.

Simplify

$x^2\cdot x^8$

a)

$x^{10}$

b)

$x^{16}$

c)

$x^6$

d)

$x^4$

82.

$\left(a^3b^5\right)^7$ =

a)

$a^3b^{35}$

b)

$a^{10}b^{12}$

c)

$a^8b^8$

d)

$a^{21}b^{35}$

83.

Simplify the expression

a)

x⁵

b)

1/x⁵

c)

x¹³

d)

1/x¹³

84.

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

85.

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

86.

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

87.

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

88.

Which number is correctly written in scientific notation?

a)

5.67 x 10⁵

b)

56.7 x 10³

c)

0.567 x 10⁶

89.

Consider Scientific Notation...

5 Which is the correct coefficient of 147,000 when it is written in scientific notation

a)

147

b)

14.7

c)

1.47

d)

0.147

90.

Which number is correctly written in scientific notation?

a)

8.2 x 10²

b)

82 x 10⁷

c)

3.45 x 9⁴

91.

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

92.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

93.

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

a)

50

b)

5

c)

100

d)

10

94.

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

95.

Which one of these is in scientific notation?

a)

8.987000

b)

8.98 x 10⁶

c)

80.987 x 10

d)

8.98⁶

96.

Write 9.8 x 10^-5in standard form

a)

0.00098

b)

0.000098

c)

.098

d)

98,000

97.

Write 0.000972 in scientific notation.

a)

9.72 x 10^-4

b)

9.72 x 10^-3

c)

972 x 10^-4

d)

9.72 x 10⁴

98.

Which is the correct coefficient of 23,400,000 when it is written in scientific notation?

a)

0.234

b)

2.34

c)

234.

d)

23.4

99.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

100.

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

101.

Try to change the number back to standard form: 3.97 x 10^-2

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

102.

Write 2.08 x 10²in standard form.

a)

208

b)

0.0208

c)

20,800

d)

0.208

103.

How do you write
1001
in scientific notation?

a)

1.0001 x 10⁴

b)

1.01 x 10⁵

c)

1.001 x 10³

d)

10.1 x 10³

104.

Solve: y + 9.3 = -4.2

a)

y = -13.5

b)

y = 13.5

c)

y = 5.1

d)

y = -5.1

105.

Solve: -11 = n - 6

a)

17 = n

b)

-17 = n

c)

5 = n

d)

-5 = n

106.

Solve: m + 18 = -8

a)

m = 26

b)

m = -26

c)

m = 10

d)

m = -10

107.

Solve: -2s = -38

a)

s = 76

b)

s = -76

c)

s = 19

d)

s = -19

108.

Solve:

\frac{a}{-9}=12

a)

a = -1.3

b)

a = 1.3

c)

a = 108

d)

a = -108

109.

Solve:

\frac{3}{5}h\ =27

a)

h = 27

b)

h = 135

c)

h = 45

d)

h = 16.2

110.

Solve:

$3c+5=23$

a)

$c=3$

b)

$c=6$

c)

$c=7$

d)

$c=18$

111.

What is the first step to solve this equation:

11-3x=44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

112.

Solve:

$7+\frac{a}{3}=5$

a)

$a=-2$

b)

$a=-6$

c)

$a=3$

d)

$a=15$

113.

Solve:
7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

114.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

115.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

116.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

117.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

118.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

119.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

120.

x + 9 = 21

(a)

Math 8 Review Day 2

Total questions: 120

Worksheet time: 10hrs 0mins

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