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7-CHAPTER 4 TEST 2024-2025

Total questions: 151

Worksheet time: 3hrs 50mins

Name
Class
Date
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 expressionn xb... the b represents...In\ the\ \exp ressionn\ x^b...\ the\ b\ represents...  

a)

exponents

b)

base

13.

353^5  

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.

535^3  

a)

15

b)

125

c)

50

d)

5

29.

515^1  

a)

25

b)

125

c)

0

d)

5

30.

252^5  

a)

32

b)

10

c)

25

d)

16

31.

525^2  equals (a)  

32.

828^2  equals (a)  

33.

525^2  equals (a)  

34.

232^3  equals (a)  

35.

222^2  equals (a)  

36.

424^2  equals (a)  

37.

323^2  equals (a)  

38.

333^3  equals (a)  

39.

535^3  equals (a)  

40.

12112^1  equals (a)  

41.

616^1  equals (a)  

42.

919^1  equals (a)  

43.

909^0  equals (a)  

44.

626^2  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.

10310^3  equals (a)  

48.

Select both values for 232^3  

a)

2 x 2 x 2

b)

6

c)

3 x 3

d)

8

49.

Select both values for 535^3  

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 333^3  

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.

2x = 162^x\ =\ 16

(a)  

57.

8x = 648^x\ =\ 64

(a)  

58.

10x = 100,00010^x\ =\ 100,000

(a)  

59.

5x = 6255^x\ =\ 625

(a)  

60.

7x = 3437^x\ =\ 343

(a)  

61.

6x = 77766^x\ =\ 7776

(a)  

62.

10x = 1,000,000,00010^x\ =\ 1,000,000,000

(a)  

63.

3x = 590493^x\ =\ 59049

(a)  

64.

100x = 1100^{x\ }=\ 1

(a)  

65.

8x = 5128^x\ =\ 512

(a)  

66.

4x = 644^x\ =\ 64

(a)  

67.

2x = 322^x\ =\ 32

(a)  

68.

3x = 813^x\ =\ 81

(a)  

69.
To solve 36 = 6x, re-write 36 as what base and exponent?
a)
36
b)
63
c)
62
d)
312
70.

Solve the exponential equation 4x=164^x = 16 .

a)

x=2x = 2

b)

x=3x = 3

c)

x=4x = 4

d)

x=5x = 5

71.

Solve the exponential equation 10x=100010^x = 1000 .

a)

x=2x = 2

b)

x=3x = 3

c)

x=4x = 4

d)

x=5x = 5

72.

(4)2\left(-4\right)^2  

a)

16

b)

-16

c)

-8

d)

8

73.

(5)3\left(-5\right)^3  

a)

125

b)

-125

c)

-15

d)

15

74.

52-5^2  

a)

25

b)

-25

c)

-10

d)

10

75.

64-6^4  :  Which expanded form would represent this exponent?

a)

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

b)

6×6×6×6-6\times-6\times-6\times-6  

c)

6×4-6\times4  

d)

4×4×4×4×4×4-4\times-4\times-4\times-4\times-4\times-4  

76.

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

a)

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

b)

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

c)

2×2×22\times2\times2  

d)

3×3-3\times-3  

77.

(4)4\left(-4\right)^4  

a)

256

b)

-256

c)

-16

d)

16

78.

63-6^3  

a)

216-216  

b)

216216  

c)

18-18  

d)

1818  

79.

(4)5\left(-4\right)^5  

a)

1,024-1,024  

b)

1,0241,024  

c)

20-20  

d)

2020  

80.

(2)6\left(-2\right)^6  

a)

64-64  

b)

6464  

c)

12-12  

d)

1212  

81.

62-6^2  

a)

36-36  

b)

3636  

c)

12-12  

d)

1212  

82.

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

a)

424^2

b)

242^4

c)

8

d)

I have no clue

83.

(4)5\left(-4\right)^5  

a)

1,024-1,024  

b)

1,0241,024  

c)

20-20  

d)

2020  

84.

(2)6\left(-2\right)^6  

a)

64-64  

b)

6464  

c)

12-12  

d)

1212  

85.

404^0  

a)

11  

b)

00  

c)

44  

d)

-1

86.

40-4^0  

a)

11  

b)

00  

c)

44  

d)

-1

87.

(4)5\left(-4\right)^5  

a)

1,024-1,024  

b)

1,0241,024  

c)

20-20  

d)

2020  

88.

(4)0\left(-4\right)^0  

a)

11  

b)

1-1  

c)

4-4  

d)

4

89.
Write the product using exponents: (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)
a)
-25
b)
2-5
c)
(-2)5
d)
(-2)-5
90.
Are these two equivalent: 22 = (-2)2
a)
Yes
b)
No
91.
Are these two equivalent: (-3)2 = 3-2
a)
Yes
b)
No
92.
Are these two equivalent: (-2)3 = -23
a)
Yes
b)
No
93.
True or False: -92 = (-9)(-9)
a)
True
b)
False
94.
A negative base raised to an odd power is negative.
a)
Always True
b)
Always False
c)
Sometimes
95.
Evaluate: (-1)2016
a)
-1
b)
-2016
c)
1
d)
2016
96.
(1/2)2
a)
1/4
b)
1
c)
1/2
d)
1/8
97.
(1/5)2
a)
1/10
b)
2/10
c)
2/25
d)
1/25
98.
(1/3)3
a)
1/27
b)
1/9
c)
1/6
d)
1/3
99.
Challenge #2     (2/3)2
a)
2/6
b)
2/9
c)
4/6
d)
4/9
100.
a)

6/8

b)

9/8

c)

6/16

d)

9/16

101.
a)

1/8

b)

1/6

c)

3/6

d)

3/8

102.
a)

8/18

b)

16/81

c)

16/18

d)

8/81

103.
a)

20/22

b)

100/22

c)

20/121

d)

100/121

104.
a)
1/6
b)
1/36
c)
2/12
d)
1/12
105.

(34)2\left(\frac{3}{4}\right)^2

a)

34\frac{3}{4}  

b)

68\frac{6}{8}  

c)

916\frac{9}{16}  

d)

3040\frac{30}{40}  

106.

(1/3)4

a)

1/81

b)

1/12

c)

1/16

d)

1/64

107.

(1/7)2

a)

1/14

b)

2/49

c)

1/49

d)

2/7

108.

(1/2)3

a)

1/8

b)

1/6

c)

1/4

d)

1/2

109.

EVALUATE
.64.6^4

a)

.1296

b)

1296

c)

12.96

d)

.24

110.

EVALUATE

.003^3

(a)  

111.

EVALUATE

.15.1^5

(a)  

112.
10= _____
a)
30
b)
3,000
c)
10
d)
1,000
113.
108
a)
10,000
b)
100,000
c)
100,000,000
d)
1,000,000,000
114.
Whats any number to the power of zero?
a)
1
b)
0
115.
Which power of ten is equivalent to 1 ? 
a)
101
b)
10-1
c)
100
d)
10-2
116.
104
a)
1,000
b)
10,000
c)
10
d)
100
117.
101
a)
10
b)
100
c)
1,000
d)
10,000
118.
Find 100
a)
10
b)
0
c)
1
d)
5
119.
1,000,000,000,000,000,000 =
a)
1019
b)
1012
c)
1018
d)
101
120.
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
121.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
122.
102
a)
100
b)
.001
c)
10
d)
0.1
123.
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
124.
Ms. Wheeler owes Aja'h $1000. What should this number look like in exponent form? 
a)
101
b)
1018
c)
103
d)
106
125.
Express the following numbers as powers of ten:
100,000
a)
104
b)
105
c)
106
d)
107
126.

1,000= 10?

a)

100

b)

102

c)

103

d)

101

127.
Express the following numbers as powers of ten:
100,000
a)
104
b)
105
c)
106
d)
107
128.
What step would I do second ? (4-2) x 9 + 7 =
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
129.

31 + 525^2  - 6

a)

40

b)

50

c)

52

d)

62

130.

Solve.

7 x [32 - (3 x 4)]

(a)  

131.

Use order of operations to evaluate this numerical expression.

(a)  

132.

Use order of operations to evaluate this numerical expression.

(a)  

133.

Use order of operations to evaluate this numerical expression.

(a)  

134.

Evaluate the expression

[(12 ÷ 2) - 4] + (8 x 2)

a)

20

b)

17

c)

16

d)

18

135.
(9 + 39) ÷ (11 - 5) = 
a)
17
b)
14
c)
9
d)
8
136.
4(8) ÷ (8 − 6)
a)
-2
b)
18
c)
-1
d)
16
137.

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

a)

82

b)

17

c)

13

d)

84

138.
12 x 3 ÷ 6
a)
12
b)
6
c)
8
d)
9
139.
Solve:
30 - 7 x 4
a)
2
b)
92
c)
7
d)
84
140.
Simplify the expression. 
7÷ 5
a)
9  4/5
b)
2  4/5
c)
5/14
d)
5/49
141.
Simplify the expression.
(3− 4) + 52
a)
48
b)
15
c)
30
d)
33
142.

Simplify  23 + 42(3) ÷32^{3\ }+\ \frac{4}{2}\left(3\right)\ \div3  

a)

14/3

b)

7/3

c)

12

d)

10

143.
What is the value of this expression? 
6+ 3
a)
15
b)
16
c)
39
d)
42
144.
What is the value of this expression? 
31 + 52 - 6
a)
40
b)
50
c)
52
d)
62
145.

Evaluate the expression using the correct order of operations.

48÷22×3+1248\div2^2\times3+12  

a)

72

b)

720

c)

36

d)

48

146.

(4 + 3)2+5 x 3

a)

57

b)

64

c)

29

d)

44

147.
Solve the following:
-2 x (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
148.
82 +(7-4)2
a)
74
b)
72
c)
70
d)
73
149.
32+42-(4x2)
a)
14
b)
9
c)
9
d)
17
150.
63 – 10 ÷ 5
a)
1.6
b)
200
c)
41.2
d)
214
151.
2 × 33 + 7
a)
91
b)
61
c)
235
d)
77