Free Printable Unit 8: Numeric Expressions

1.

Simplify the expression: 2^3

a)

16

b)

10

c)

8

d)

6

2.

Evaluate the value of 5^2

a)

25

b)

20

c)

15

d)

10

3.

Simplify the expression: 10^0

a)

10

b)

0

c)

1

d)

100

4.

Evaluate the value of 4^1

a)

3

b)

4

c)

1

d)

2

5.

Simplify the expression: 7^4

a)

2400

b)

2402

c)

2401

d)

2403

6.

Evaluate the value of 3^3

a)

9

b)

6

c)

27

d)

81

7.

Simplify the expression: 6^2

a)

12

b)

36

c)

24

d)

18

8.

Evaluate the value of 9^0

a)

1

b)

81

c)

9

d)

0

9.

Simplify the expression: 2^5

a)

32

b)

64

c)

25

d)

10

10.

Evaluate the value of 8^2

a)

4

b)

16

c)

64

d)

10

11.

5⁴=

a)

20

b)

625

c)

1024

12.

Evaluate 10³

a)

10

b)

100

c)

1000

d)

30

13.

7⁰ = ?

a)

1

b)

7

c)

0

d)

-7

14.

8⁰ = 0

a)

True

b)

False

15.

$5^3$

a)

15

b)

125

c)

50

d)

5

16.

$5^1$

a)

25

b)

125

c)

0

d)

5

17.

$2^5$

a)

32

b)

10

c)

25

d)

16

18.

$5^2$ equals (a)

19.

$8^2$ equals (a)

20.

$5^2$ equals (a)

21.

$2^3$ equals (a)

22.

$2^2$ equals (a)

23.

$4^2$ equals (a)

24.

$3^2$ equals (a)

25.

$3^3$ equals (a)

26.

$5^3$ equals (a)

27.

$12^1$ equals (a)

28.

$6^1$ equals (a)

29.

$9^1$ equals (a)

30.

$9^0$ equals (a)

31.

$6^2$ equals (a)

32.

6 squared equals ______

a)

6 x 6

b)

6 x 6 x 6

c)

6 x 2

d)

6 x 10

33.

2 cubed equals _____

a)

2 x 2

b)

2 x 2 x 2

c)

2 x 3

d)

2 x 1

34.

$10^3$ equals (a)

35.

Select both values for $2^3$

a)

2 x 2 x 2

b)

6

c)

3 x 3

d)

8

36.

Select both values for $5^3$

a)

3 x 3 x 3 x 3 x 3

b)

5 x 5 x 5

c)

15

d)

125

37.

Select both values for $3^3$

a)

3 x 3 x 3

b)

27

c)

9

d)

81

38.

9 squared equals (a)

39.

4 squared equals (a)

40.

2 cubed equals (a)

41.

Any number to the power of ZERO equals

a)

0

b)

1

c)

10

d)

no idea

42.

Any number to the power of ONE equals

a)

0

b)

1

c)

itself

d)

no idea

43.

Write the product as a power: 9 x 9 x 9

a)

729

b)

27

c)

9³

d)

3⁹

44.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

45.

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

a)

4²

b)

2⁴

c)

2²

46.

In the exponent 3⁴, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

47.

In the expression 2⁵, what is the BASE?

a)

2

b)

5

48.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

3⁴

c)

81

d)

3²

49.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

50.

18¹=

a)

18

b)

0

c)

324

d)

1

51.

What is equivalent to 6⁴?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

4⁶

52.

Write the product as a power: 9 x 9 x 9

a)

729

b)

27

c)

9³

d)

3⁹

53.

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

a)

4²

b)

2⁴

c)

2²

54.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

55.

Evaluate.
2⁵

a)

10

b)

25

c)

32

d)

Answer Not Given

56.

10^{3 =}

a)

1,000,000

b)

1000

c)

10

d)

1021

57.

In the expression 2⁵, what is the EXPONENT?

a)

5

b)

2

58.

Evaluate. $4^3$

a)

43

b)

64

c)

12

d)

7

59.

Evaluate 2⁴

a)

8

b)

20

c)

16

d)

12

60.

Evaluate 7¹

a)

1

b)

7

c)

0

d)

14

61.

Evaluate 9³

a)

840

b)

81

c)

9 x 9

d)

729

62.

Evaluate.
2⁵

a)

10

b)

25

c)

32

d)

Answer Not Given

63.

Evaluate.
8²

a)

16

b)

64

c)

-64

d)

Answer Not Given

64.

Evaluate 3⁴

a)

27

b)

9

c)

81

d)

12

65.

18¹=

a)

18

b)

0

c)

324

d)

1

66.

Evaluate 12²

a)

12

b)

24

c)

144

d)

122

67.

Evaluate. $8^0$

a)

0

b)

8

c)

1

d)

80

68.

Evaluate 5²

a)

25

b)

10

c)

55

d)

30

69.

Evaluate. $6^2$

a)

8

b)

62

c)

36

d)

$12$

70.

Evaluate. $10^4$

a)

104

b)

10,000

c)

$40$

d)

$14$

71.

$7^2$

Evaluate.

a)

$49$

b)

$14$

c)

$21$

d)

$7$

72.

$2^3$

Evaluate.

a)

$4$

b)

$6$

c)

$8$

d)

$10$

73.

1¹⁸=

a)

1

b)

0

c)

18

d)

118

74.

Evaluate.

a)

3

b)

5

c)

15

d)

125

75.

Evaluate. $9^2$

a)

81

b)

92

c)

18

d)

$49$

76.

Evaluate. $10^2$

a)

1000

b)

102

c)

$100$

d)

$20$

77.

Evaluate: 7³

a)

21

b)

343

c)

7 x 7 x 7

d)

7 x 3

78.

(¹/₂)²

a)

¹/₄

b)

1

c)

¹/₂

d)

¹/₈

79.

(¹/₅)²

a)

¹/₁₀

b)

²/₁₀

c)

²/₂₅

d)

¹/₂₅

80.

(¹/₃)³

a)

¹/₂₇

b)

¹/₉

c)

¹/₆

d)

¹/₃

81.

Challenge #2 (²/₃)²

a)

²/₆

b)

²/₉

c)

⁴/₆

d)

⁴/₉

82.

a)

6/8

b)

9/8

c)

6/16

d)

9/16

83.

a)

1/8

b)

1/6

c)

3/6

d)

3/8

84.

a)

8/18

b)

16/81

c)

16/18

d)

8/81

85.

a)

20/22

b)

100/22

c)

20/121

d)

100/121

86.

a)

1/6

b)

1/36

c)

2/12

d)

1/12

87.

$\left(\frac{3}{4}\right)^2$

a)

$\frac{3}{4}$

b)

$\frac{6}{8}$

c)

$\frac{9}{16}$

d)

$\frac{30}{40}$

88.

Common factors of 6 and 8

a)

1,2

b)

1,2,3,

c)

1,2,3,4

89.

Common factor of 9 and 12

a)

1,2,3

b)

1,3,4

c)

1,3

90.

Common factor of 16 and 20

a)

1,2,4,5,10

b)

1,2,4

c)

1,3,4,5

91.

Common factors of 7 and 21

a)

1,7

b)

1,3,7

c)

1,3,7,21

92.

Greatest common factor of 10 and 20

a)

5

b)

2

c)

10

93.

Greatest common factors of 9 and 15

a)

5

b)

4

c)

3

94.

Greatest common factor of 6 and 8

a)

3

b)

4

c)

2

95.

Greatest common factor of 8, 10, 12, and 20

a)

3

b)

4

c)

2

d)

5

96.

GCF of 32 and 40

a)

2

b)

4

c)

6

d)

8

97.

GCF of 16 and 18

a)

4

b)

2

c)

6

d)

8

98.

GCF of 50 and 100

a)

10

b)

25

c)

50

d)

5

99.

GCF of 18 and 24

a)

2

b)

3

c)

4

d)

6

100.

What is the GCF of 36 and 24?

a)

6

b)

12

c)

8

d)

9

101.

What is the greatest factor of 28 and 49?

a)

1

b)

2

c)

7

d)

12

102.

What is the GCF of 20 and 30?

a)

5

b)

2

c)

10

d)

20

103.

GCF of 99 and 54

a)

9

b)

3

c)

6

d)

8

104.

GCF of 24 and 56

a)

2

b)

4

c)

6

d)

8

105.

GCF of 10 and 50

a)

10

b)

2

c)

5

d)

50

106.

GCF of 8 and 20

a)

8

b)

2

c)

4

d)

10

107.

What is the greatest common factor of 35 and 47?

a)

5

b)

7

c)

1

d)

8

108.

What is the greatest common factor of 15 and 30?

(a)

109.

What does GCF mean?

a)

Great Cookie Fever

b)

Greatest Common Factor

c)

Greatest Common Multiple

d)

Greatest Compared Factor

110.

What is the GCF of 21 and 49?

(a)

111.

What is the greatest common factor of 48 and 64?

(a)

112.

What is the greatest common factor of 60 and 75?

(a)

113.

Find the greatest common factor between 45 and 75

a)

9

b)

25

c)

5

d)

15

114.

Find the greatest common factor between 36 and 75

(a)

115.

Find the greatest common factor between 72 and 140

(a)

116.

Find the greatest common factor between 84 and 36

(a)

117.

Greatest common factor of 10 and 20

a)

5

b)

2

c)

10

118.

Greatest common factors of 9 and 15

a)

5

b)

4

c)

3

119.

GCF of 32 and 40

a)

2

b)

4

c)

6

d)

8

120.

GCF of 18 and 24

a)

2

b)

3

c)

4

d)

6

121.

What is the GCF of 36 and 24?

a)

6

b)

12

c)

8

d)

9

122.

What is the greatest factor of 28 and 49?

a)

1

b)

2

c)

7

d)

12

123.

What is the GCF of 20 and 30?

a)

5

b)

2

c)

10

d)

20

124.

GCF of 99 and 54

a)

9

b)

3

c)

6

d)

8

125.

GCF of 8 and 20

a)

8

b)

2

c)

4

d)

10

126.

What is the Greatest Common Factor of 12 and 48?

a)

6

b)

12

c)

4

d)

16

127.

Find the LCM of 4 and 6

(a)

128.

Find the LCM of 4 and 10

(a)

129.

Find the LCM of 6 and 8

(a)

130.

Find the LCM of 6 and 9

(a)

131.

Find the LCM of 6 and 10

(a)

132.

Find the LCM of 8 and 10

(a)

133.

Find the LCM of 8 and 12

(a)

134.

Find the LCM of 9 and 12

(a)

135.

Find the LCM of 10 and 12

(a)

136.

Find the LCM of 2 and 6

(a)

137.

Find the LCM of 3 and 12

(a)

138.

Find the LCM of 4 and 12

(a)

139.

Find the LCM of 5 and 20

(a)

140.

Find the LCM of 6 and 12

(a)

141.

Find the LCM of 11 and 55

(a)

142.

Find the LCM of 12 and 48

(a)

143.

Find the LCM of 12 and 2

(a)

144.

Find the LCM of 5 and 3

(a)

145.

Find the LCM of 8 and 7

(a)

146.

Find the LCM of 6 and 7

(a)

147.

Find the LCM of 8 and 11

(a)

148.

Find the LCM of 5 and 12

(a)

149.

Find the LCM of 3 and 8

(a)

150.

Find the LCM of 5 and 6

(a)

151.

Find the LCM of 7 and 2

(a)

152.

If Juanita runs every third day and swims every fifth day, what is the first day that she will both run and swim again?

a)

5

b)

15

c)

45

d)

30

153.

Two neon signs are turned on at the same and begin to blink. One sign links every 9 seconds. The other blinks every 15 seconds. In how many seconds will they blink together?

a)

3

b)

5

c)

45

d)

9

154.

The school cafeteria serves tacos every sixth day and cheeseburgers every eighth day. If tacos and cheeseburgers are both on today's menu, in how many days will they both be on the menu again?

a)

24

b)

2

c)

6

d)

12

155.

Two clocks are turned on at the same time. One chimes every 15 minutes. The other chimes every 25 minutes. In how many minutes will they chime together?

a)

5

b)

75

c)

15

d)

25

156.

Melanie and Martin are both building a toy train track out of connecting pieces. Melanie has pieces that are 8 inches long while Martin's pieces are 20 inches long. How long will the shortest track be that they can each build with the same length?

a)

2

b)

40

c)

4

d)

20

157.

Henry and Mark are traveling around a circular track. Henry is riding his bike and takes 7 minutes to make one loop. Mark is walking and takes 12 minutes to make one loop. If they start at the same time, in how many minutes will they meet each other again?

a)

1

b)

7

c)

84

d)

12

158.

Solve.
(16-6) x (2+4)

a)

0

b)

8

c)

24

d)

60

159.

Solve.
5 x (7 - 4) - 3 x 2

a)

0

b)

18

c)

9

d)

15

160.

Which numeric expression matches this written expression?
add four and nine and then multiply by six

a)

(6-4)x9

b)

(4+9)x6

c)

6x9+4

d)

9x4-6

161.

Which numeric expression matches this written expression?
two times the sum of eight and seven

a)

2 x 87

b)

2 + (8 + 7)

c)

2 x 8 + 7

d)

2 x (8 + 7)

162.

Kyle has $4 and Alyssa has $6. Jenny has 3 times as much money as both Kyle and Alyssa combined. Which expression represents this situation?

a)

(3 x 4) + 6

b)

(3 x 4) x 6

c)

3 x (4 + 6)

d)

3 x (4 x 6)

163.

Subtract 9 from 15 and divide by 3.
Which numerical expression represents this statement?

a)

(15 - 9) ÷ 3

b)

(9 - 15) ÷ 3

c)

3 ÷ (15 - 9)

d)

3 ÷ (9 - 15)

164.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

165.

Evaluate the numerical expression.
2(15 - 7) + 6

a)

22

b)

29

c)

50

d)

28

166.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

167.

[ ( 6 x 3) ] x 2 ÷ 9

a)

2

b)

4

c)

14

d)

62

168.

2 + (9²- 4)

a)

16

b)

77

c)

79

169.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

170.

Place the parenthesis so that the expression equals 20.
5 x 4 - 3 + 24 ÷ 6 + 2

a)

(5 x 4) - 3 + 24 ÷ 6 + 2

b)

5 x (4 - 3) + 24 ÷ 6 + 2

c)

5 x 4 - (3 + 24) ÷ 6 + 2

d)

5 x 4 - 3 + 24 ÷ (6 + 2)

171.

Multiply 2 and 12, and then subtract 8. Which numerical expression represents this statement?

a)

8 - 12 x 2

b)

(12 x 2) - 8

c)

2 x (12 - 8)

d)

12 x (2 - 8)

172.

40+(72÷9)÷8

a)

49

b)

25

c)

41

d)

15

173.

16 ÷ 2 x 4 - 3

a)

5

b)

-1

c)

25

d)

29

174.

Simplify the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

175.

2 × 3³ + 7

a)

91

b)

61

c)

235

d)

77

176.

(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

177.

Dino had $40 and then he spent $12 on a shirt and $20 on a pants.

a)

$40 + (12 + 20)

b)

$40 - (12 + 20)

c)

$40 X (12 + 20)

d)

$40 + (20 + 12)

178.

$24+4\div2$

(a)

179.

$12+\left(10-3\right)\times8$

(a)

180.

$12+\left(10-3\right)\times8$

(a)

181.

$25+\left(10\div5\right)$

(a)

182.

$10+10+7$

(a)

183.

$48\div\left(8-2\right)$

(a)

184.

$\left(45+25\right)\div10$

(a)

185.

$63-54\div9$

(a)

186.

$\left(\frac{1}{2}+\frac{1}{2}\right)\times5$

(a)

187.

$15+\left(16-6\right)\times1$

(a)

188.

$\left(18+23+22\right)\div9$

(a)

189.

$80-6\times5\times2$

(a)

190.

$\left(6+2\right)\times7$

(a)

191.

$\left(18-6\right)\div2+5$

(a)

192.

$10+2\times\left(4-1\right)$

(a)

193.

In an expression what part of the question do you solve first?

a)

Parenthesis

b)

Adding and Subtracting Left to Right

c)

Multiplying and Dividing Left to Right

d)

Tacos and burritos

194.

What would you solve first?
3 x 48 / (15 - 3)

a)

3 x 48

b)

48 / 15

c)

15 - 3

d)

48-12

195.

45 - (40+2²)

a)

1

b)

3

c)

1719

d)

1717

196.

Which operation should be done first?
3² · 48 ÷ (15 - 3) =

a)

3 x 48

b)

48 ÷ 15

c)

15 - 3

d)

48 - 12

197.

Subtract 55 from the sum of 234 and 8

a)

55 - 234 + 8

b)

234 + 8 - 55

c)

234 - 55 + 8

d)

(55 - 234 + 8)

198.

Evaluate the numerical expression

a)

47

b)

13

c)

5

d)

52

199.

20 x 2 - (10 - 4)

a)

22

b)

30

c)

34

200.

75 ÷ 5 × 9 – 9

a)

126

b)

226

c)

711

d)

300

201.

10 + 8 × 90 ÷ 9 - 4

a)

86

b)

12

c)

7

d)

35

202.

Which simplification is correct?

(each problem is division and then multiplication)

a)

b)

c)

d)

203.

$Solve:\ 70\div5-2^3$

a)

6

b)

8

c)

27

d)

14

204.

2 x 5 - 2

a)

6

b)

8

205.

33 - 60 x 2 ÷ 3 +18

a)

91

b)

11

c)

81

d)

21

Unit 8: Numeric Expressions

Total questions: 205

Worksheet time: 8hrs 55mins

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