Free Printable 7-CHAPTER 4 TEST 2023-2024

1.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

2.

Find the equivalent expression.

9 x 9 x 9 x 9 x 9

a)

9⁵

b)

9¹⁵

c)

9 x 5

d)

9 + 9 + 9 + 9+ 9

3.

What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6

a)

6 to the 7th power

b)

6 to the 8th power

c)

7 to the 9th power

d)

10 to the 5th power

4.

2⁵ is the same as 2 x 5.

a)

True

b)

False

5.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

6.

The exponent equivalent of 20 x 20 x 20 is

a)

20 x 3

b)

20³

c)

3²⁰

7.

Which is equivalent to 4 x 4 x 4 x 4 x 4

a)

4⁶

b)

5⁴

c)

4⁴

d)

4⁵

8.

In the exponent 3⁴, the 3 represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

9.

What is the number in a power that tells how many times the base is used as a factor?

a)

Expression

b)

Exponent

c)

Factor

d)

Term

10.

What special word do you use for the exponent of 2?

a)

squared

b)

cubed

c)

triangled

d)

boxed

11.

Exponent tells us how many times a number is ________ by itself

a)

multiplied

b)

added

c)

subtract

12.

x

In\ the\ exression\ x^b...\ the\ b\ represents...

a)

exponents

b)

base

13.

$3^5$

a)

The 3 is the base

b)

The 5 is the base

14.

Simplify the expression: 2^3

a)

16

b)

10

c)

8

d)

6

15.

Evaluate the value of 5^2

a)

25

b)

20

c)

15

d)

10

16.

Simplify the expression: 10^0

a)

10

b)

0

c)

1

d)

100

17.

Evaluate the value of 4^1

a)

3

b)

4

c)

1

d)

2

18.

Simplify the expression: 7^4

a)

2400

b)

2402

c)

2401

d)

2403

19.

Evaluate the value of 3^3

a)

9

b)

6

c)

27

d)

81

20.

Simplify the expression: 6^2

a)

12

b)

36

c)

24

d)

18

21.

Evaluate the value of 9^0

a)

1

b)

81

c)

9

d)

0

22.

Simplify the expression: 2^5

a)

32

b)

64

c)

25

d)

10

23.

Evaluate the value of 8^2

a)

4

b)

16

c)

64

d)

10

24.

5⁴=

a)

20

b)

625

c)

1024

25.

Evaluate 10³

a)

10

b)

100

c)

1000

d)

30

26.

7⁰ = ?

a)

1

b)

7

c)

0

d)

-7

27.

8⁰ = 0

a)

True

b)

False

28.

$5^3$

a)

15

b)

125

c)

50

d)

5

29.

$5^1$

a)

25

b)

125

c)

0

d)

5

30.

$2^5$

a)

32

b)

10

c)

25

d)

16

31.

$5^2$ equals (a)

32.

$8^2$ equals (a)

33.

$5^2$ equals (a)

34.

$2^3$ equals (a)

35.

$2^2$ equals (a)

36.

$4^2$ equals (a)

37.

$3^2$ equals (a)

38.

$3^3$ equals (a)

39.

$5^3$ equals (a)

40.

$12^1$ equals (a)

41.

$6^1$ equals (a)

42.

$9^1$ equals (a)

43.

$9^0$ equals (a)

44.

$6^2$ equals (a)

45.

6 squared equals ______

a)

6 x 6

b)

6 x 6 x 6

c)

6 x 2

d)

6 x 10

46.

2 cubed equals _____

a)

2 x 2

b)

2 x 2 x 2

c)

2 x 3

d)

2 x 1

47.

$10^3$ equals (a)

48.

Select both values for $2^3$

a)

2 x 2 x 2

b)

6

c)

3 x 3

d)

8

49.

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

50.

Select both values for $3^3$

a)

3 x 3 x 3

b)

27

c)

9

d)

81

51.

9 squared equals (a)

52.

4 squared equals (a)

53.

2 cubed equals (a)

54.

Any number to the power of ZERO equals

a)

0

b)

1

c)

10

d)

no idea

55.

Any number to the power of ONE equals

a)

0

b)

1

c)

itself

d)

no idea

56.

$3^d\ =\ 27$

(a)

57.

$8^x\ =\ 64$

(a)

58.

$10^x\ =\ 100,000$

(a)

59.

$5^x\ =\ 625$

(a)

60.

$7^x\ =\ 343$

(a)

61.

$6^x\ =\ 7776$

(a)

62.

$10^x\ =\ 1,000,000,000$

(a)

63.

$3^x\ =\ 59049$

(a)

64.

$100^{x\ }=\ 1$

(a)

65.

$8^x\ =\ 512$

(a)

66.

$4^x\ =\ 64$

(a)

67.

$\left(-4\right)^2$

a)

16

b)

-16

c)

-8

d)

8

68.

$\left(-5\right)^3$

a)

125

b)

-125

c)

-15

d)

15

69.

$-5^2$

a)

25

b)

-25

c)

-10

d)

10

70.

$-6^4$ : Which expanded form would represent this exponent?

a)

$-\left(6\ \times6\times6\times6\right)$

b)

$-6\times-6\times-6\times-6$

c)

$-6\times4$

d)

$-4\times-4\times-4\times-4\times-4\times-4$

71.

$\left(-2\right)^3$ : Which expanded form would represent this exponent?

a)

$\left(-2\right)\times\left(-2\right)\times\left(-2\right)$

b)

$-\left(2\times2\times2\right)$

c)

$2\times2\times2$

d)

$-3\times-3$

72.

$\left(-4\right)^4$

a)

256

b)

-256

c)

-16

d)

16

73.

$-6^3$

a)

$-216$

b)

$216$

c)

$-18$

d)

$18$

74.

$\left(-4\right)^5$

a)

$-1,024$

b)

$1,024$

c)

$-20$

d)

$20$

75.

$\left(-2\right)^6$

a)

$-64$

b)

$64$

c)

$-12$

d)

$12$

76.

$-6^2$

a)

$-36$

b)

$36$

c)

$-12$

d)

$12$

77.

Write the following as an exponent:
2 x 2 x 2 x 2

a)

$4^2$

b)

$2^4$

c)

8

d)

I have no clue

78.

$\left(-4\right)^5$

a)

$-1,024$

b)

$1,024$

c)

$-20$

d)

$20$

79.

$\left(-2\right)^6$

a)

$-64$

b)

$64$

c)

$-12$

d)

$12$

80.

$4^0$

a)

$1$

b)

$0$

c)

$4$

81.

$\left(-4\right)^5$

a)

$-1,024$

b)

$1,024$

c)

$-20$

d)

$20$

82.

Write the product using exponents: (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-2⁵

b)

2^-5

c)

(-2)⁵

d)

(-2)^-5

83.

Are these two equivalent: 2² = (-2)²

a)

Yes

b)

No

84.

Are these two equivalent: (-3)² = 3^-2

a)

Yes

b)

No

85.

Are these two equivalent: (-2)³ = -2³

a)

Yes

b)

No

86.

True or False: -9² = (-9)(-9)

a)

True

b)

False

87.

A negative base raised to an odd power is negative.

a)

Always True

b)

Always False

c)

Sometimes

88.

Evaluate: (-1)²⁰¹⁶

a)

-1

b)

-2016

c)

1

d)

2016

89.

(¹/₂)²

a)

¹/₄

b)

1

c)

¹/₂

d)

¹/₈

90.

(¹/₅)²

a)

¹/₁₀

b)

²/₁₀

c)

²/₂₅

d)

¹/₂₅

91.

(¹/₃)³

a)

¹/₂₇

b)

¹/₉

c)

¹/₆

d)

¹/₃

92.

Challenge #2 (²/₃)²

a)

²/₆

b)

²/₉

c)

⁴/₆

d)

⁴/₉

93.

a)

6/8

b)

9/8

c)

6/16

d)

9/16

94.

a)

1/8

b)

1/6

c)

3/6

d)

3/8

95.

a)

8/18

b)

16/81

c)

16/18

d)

8/81

96.

a)

20/22

b)

100/22

c)

20/121

d)

100/121

97.

a)

1/6

b)

1/36

c)

2/12

d)

1/12

98.

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

a)

$\frac{3}{4}$

b)

$\frac{6}{8}$

c)

$\frac{9}{16}$

d)

$\frac{30}{40}$

99.

(¹/₃)⁴

a)

¹/₈₁

b)

¹/₁₂

c)

¹/₁₆

d)

¹/₆₄

100.

(¹/₇)²

a)

¹/₁₄

b)

²/₄₉

c)

¹/₄₉

d)

²/₇

101.

(¹/₂)³

a)

¹/₈

b)

¹/₆

c)

¹/₄

d)

¹/₂

102.

EVALUATE
$.6^4$

a)

.1296

b)

1296

c)

12.96

d)

.24

103.

EVALUATE

.003^3

(a)

104.

EVALUATE

$.1^5$

(a)

105.

10³= _____

a)

30

b)

3,000

c)

10

d)

1,000

106.

10⁸

a)

10,000

b)

100,000

c)

100,000,000

d)

1,000,000,000

107.

Whats any number to the power of zero?

a)

1

b)

0

108.

Which power of ten is equivalent to 1 ?

a)

10¹

b)

10^-1

c)

10⁰

d)

10^-2

109.

10⁴

a)

1,000

b)

10,000

c)

10

d)

100

110.

10¹

a)

10

b)

100

c)

1,000

d)

10,000

111.

Find 10⁰

a)

10

b)

0

c)

1

d)

5

112.

1,000,000,000,000,000,000 =

a)

10¹⁹

b)

10¹²

c)

10¹⁸

d)

10¹

113.

If we raise 10⁷ dollars, how much money did we raise as a class?

a)

$10,000,000

b)

$100,000,000

c)

$17,000

d)

$70

114.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

115.

10² =

a)

100

b)

.001

c)

10

d)

0.1

116.

What is the exponential form of 10,000?

a)

10 x 10 x 10 x 10

b)

10 + 10 + 10 + 10

c)

10⁴

d)

10³

117.

Ms. Wheeler owes Aja'h $1000. What should this number look like in exponent form?

a)

10¹

b)

10¹⁸

c)

10³

d)

10⁶

118.

Express the following numbers as powers of ten:
100,000

a)

10⁴

b)

10⁵

c)

10⁶

d)

10⁷

119.

1,000= 10^?

a)

10⁰

b)

10²

c)

10³

d)

10¹

120.

Express the following numbers as powers of ten:
100,000

a)

10⁴

b)

10⁵

c)

10⁶

d)

10⁷

121.

What step would I do second ? (4-2) x 9 + 7 =

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

122.

31 + $5^2$ - 6

a)

40

b)

50

c)

52

d)

62

123.

Solve.

7 x [32 - (3 x 4)]

(a)

124.

Use order of operations to evaluate this numerical expression.

(a)

125.

Use order of operations to evaluate this numerical expression.

(a)

126.

Use order of operations to evaluate this numerical expression.

(a)

127.

Evaluate the expression

[(12 ÷ 2) - 4] + (8 x 2)

a)

20

b)

17

c)

16

d)

18

128.

(9 + 39) ÷ (11 - 5) =

a)

17

b)

14

c)

9

d)

8

129.

4(8) ÷ (8 − 6)

a)

-2

b)

18

c)

-1

d)

16

130.

What is the value of 7 + 3 X 4 - 2?

a)

82

b)

17

c)

13

d)

84

131.

12 x 3 ÷ 6

a)

12

b)

6

c)

8

d)

9

132.

Solve:
30 - 7 x 4

a)

2

b)

92

c)

7

d)

84

133.

Simplify the expression.
7²÷ 5

a)

9 4/5

b)

2 4/5

c)

5/14

d)

5/49

134.

Simplify the expression.
(3³− 4) + 5²

a)

48

b)

15

c)

30

d)

33

135.

Simplify $2^{3\ }+\ \frac{4}{2}\left(3\right)\ \div3$

a)

14/3

b)

7/3

c)

12

d)

10

136.

What is the value of this expression?
6²+ 3

a)

15

b)

16

c)

39

d)

42

137.

What is the value of this expression?
31 + 5² - 6

a)

40

b)

50

c)

52

d)

62

138.

Evaluate the expression using the correct order of operations.

$48\div2^2\times3+12$

a)

72

b)

720

c)

36

d)

48

139.

(4 + 3)²+5 x 3

a)

57

b)

64

c)

29

d)

44

140.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

141.

8² +(7-4)²

a)

74

b)

72

c)

70

d)

73

142.

3²+4²-(4x2)

a)

14

b)

9

c)

9

d)

17

143.

6³– 10 ÷ 5

a)

1.6

b)

200

c)

41.2

d)

214

144.

2 × 3³ + 7

a)

91

b)

61

c)

235

d)

77

145.

EVALUATE THE EXPRESSION

(a)

146.

EVALUATE THE EXPRESSION

(a)

147.

EVALUATE THE EXPRESSION

(a)

148.

EVALUATE THE EXPRESSION

(a)

149.

EVALUATE THE EXPRESSION

(a)

150.

EVALUATE THE EXPRESSION

(a)

151.

EVALUATE THE EXPRESSION

(a)

152.

EVALUATE THE EXPRESSION

(a)

153.

EVALUATE THE EXPRESSION

(a)

154.

EVALUATE THE EXPRESSION

(a)

155.

$3+2\left(4-1\right)$

a)

16

b)

10

c)

9

d)

23

156.

$18\div3\times2$

a)

12

b)

3

c)

8

d)

6

157.

$10-\left(5-3\right)+4$

a)

8

b)

12

c)

6

d)

13

158.

$6+2\times4-3$

a)

11

b)

21

c)

8

d)

16

159.

$3-4+2\times8$

a)

15

b)

8

c)

-13

d)

4

160.

$3-\left(4+1\right)+6$

a)

14

b)

4

c)

6

d)

8

161.

$20-\left(3+2\right)\div5$

a)

5

b)

3

c)

19

d)

-1

162.

$6\times2+14\div7$

a)

2

b)

12

c)

14

d)

1/2

163.

$42\div\left(15-2^3\right)$

a)

6

b)

4

c)

12

d)

14

164.

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

a)

-1

b)

3

c)

-9

d)

9

165.

Solve: $\left(10-5\right)^2+\left(12\div4\right)$

a)

13

b)

28

c)

-22

d)

7

166.

24 ÷ 6 + 4²

a)

12

b)

2

c)

20

167.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

168.

3 x 8 - (9 - 7)³

a)

16

b)

18

c)

0

169.

3 x 2² + 24 ÷ 8

a)

15

b)

10.5

c)

4.5

170.

(52 ÷ 4) + 5³

a)

28

b)

38

c)

138

171.

27 ÷ 3 x 2 + 4²

a)

34

b)

20.5

c)

26

172.

7 + 4 x 2³

a)

3,375

b)

39

c)

31

d)

10,648

173.

13 - (28 - 4²)

a)

1

b)

-7

c)

7

d)

22

174.

(49 - 5²) ÷ 2³

a)

6.5

b)

3

c)

1

d)

1.5

175.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

176.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

177.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

178.

3 x 8 - (9 - 7)³

a)

16

b)

18

c)

0

179.

3 x 2² + 24 ÷ 8

a)

15

b)

10.5

c)

4.5

180.

(52 ÷ 4) + 5³

a)

28

b)

38

c)

138

181.

27 ÷ 3 x 2 + 4²

a)

34

b)

20.5

c)

26

182.

7 + 4 x 2³

a)

3,375

b)

39

c)

31

d)

10,648

183.

13 - (28 - 4²)

a)

1

b)

-7

c)

7

d)

22

184.

(49 - 5²) ÷ 2³

a)

6.5

b)

3

c)

1

d)

1.5

185.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

186.

24 ÷ 6 + 4²

a)

12

b)

2

c)

20

187.

Evaluate the expression.

$4+5^2\times6$

(a)

188.

Evaluate the expression.

$10\times3^2-4$

(a)

189.

Evaluate the expression.

$60-2^3\times5$

(a)

190.

Evaluate the expression.

$\left(54-51\right)^3-10$

(a)

191.

Evaluate the expression.

$72\div9+\left(100-3^4\right)$

(a)

192.

Evaluate the expression.

$150-\left(7+5\right)^2$

(a)

193.

Evaluate the expression.

$150-\left(7+5\right)^2$

(a)

194.

8² +(7-4)²

a)

74

b)

72

c)

70

d)

73

195.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

196.

27 ÷ 3 x 2 + 4²

a)

34

b)

20.5

c)

26

197.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

198.

7 + (12-3)²

a)

256

b)

88

c)

10

d)

13

199.

Evaluate the expression: 2 × 14 ÷ (3² − 2)

a)

3

b)

6

c)

8

d)

4

7-CHAPTER 4 TEST 2023-2024

Total questions: 199

Worksheet time: 6hrs 37mins

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