Free Printable Exponents and Algebraic equations

1.

9 fewer than the total number of people

a)

t × 9

b)

9/t

c)

t - 9

d)

9 + t

2.

What is another way to write 5³

a)

3 x 3 x 3

b)

3 x 3 x 3 x 3 x 3

c)

5 + 5 + 5 + 5 + 5

d)

5 x 5 x 5

3.

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

a)

4²

b)

2⁴

c)

2²

4.

Which two are written correctly?

a)

6⁴= 6 x 6 x 6 x 6

b)

2³= 2 x 2

c)

3²= 3 x 3

d)

3⁴= 4 x 4 x 4

5.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

6.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

7.

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

8.

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

a)

add

b)

subtract

c)

multiply

d)

divide

9.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

10.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

11.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

12.

Solve the algebraic equation for p.

p+8 = 12

a)

4

b)

20

c)

1.5

d)

96

13.

Which method can be used to solve the algebraic equation below?

z - 6 = 13

a)

Subtract 6 from both sides of the equation

b)

Add six to both sides of the equation

c)

Subtract 13 from both sides of the equation

d)

Add 13 to both sides of the equation

14.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

15.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

16.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

17.

144=12z

a)

z=20

b)

z=11

c)

z=12

18.

2n=100

a)

N=10

b)

N=50

c)

N=20

19.

z + 45 = 92

a)

z = -47

b)

z = 137

c)

z = 47

d)

z = -137

20.

Find the variable.
13 + q = 56

a)

43

b)

40

c)

q

d)

42

21.

Solve for x:
7 - 5x = 12

a)

1

b)

-6

c)

-1

d)

6

22.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

23.

g divided by 9

a)

9g

b)

g-9

c)

g/9

d)

9/g

24.

4 + 3x = 16

a)

3

b)

4

c)

5

d)

6

25.

7x + 10 = 24

a)

2

b)

3

c)

4 6/7

d)

-2

26.

5x + 3 = 53

a)

13

b)

12

c)

11

d)

10

27.

9 + 2x = 15

a)

2/3

b)

2

c)

3

d)

5

28.

6x - 3 = 33

a)

5

b)

6

c)

7

d)

8

29.

20 = 8x - 12

a)

2

b)

3

c)

4

d)

5

30.

115 = 12x - 5

a)

6

b)

8

c)

10

d)

12

31.

5x - 3 = 32

a)

5

b)

6

c)

6.5

d)

7

32.

45 = 4x + x + 10

a)

4

b)

5

c)

6

d)

7

33.

1 + 7x + 6x = 53

a)

3

b)

4

c)

5

d)

6

34.

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

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

35.

What is the first step to complete when solving this equation?
10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

36.

What is the first step to complete when solving this equation?
3y - 10 = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

37.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

38.

Solve x -2 = -1

a)

-1

b)

1

c)

3

d)

-3

39.

Solve for the variable. 3x=-27

a)

x=9

b)

x=-30

c)

x=-9

d)

x=-24

40.

Solve for "x" ?
x-9=15

a)

23

b)

6

c)

24

d)

11

41.

Solve for " x" ?
4x-6=30

a)

9

b)

13

c)

36

d)

4

42.

h/3=7

a)

10

b)

4

c)

21

d)

2.33

43.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

44.

y - 14 = 66

a)

80

b)

52

c)

79

d)

Answer Not Given

45.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

46.

Ted bought a dolphin poster for $12. He now has $5. Write and solve a subtraction equation to find out how much money Ted took to the aquarium.

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

47.

Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last week. Write a multiplication equation to show how many hours she worked last week.

a)

96h = 8

b)

h/96 = 8

c)

8h = 96

d)

h/8 = 96

48.

Translate:
Twelve less than a number

a)

12 - x

b)

x - 12

c)

12x

d)

x + 12

49.

Solve:
2x + 1 = 5

a)

3

b)

2

c)

-2

d)

-3

50.

Solve the equation
x+8=-22

a)

30

b)

14

c)

-14

d)

-30

51.

A(n) ______________ is a statement that two mathematical expression are equal

a)

equation

b)

inverse operation

c)

solution of an equation

d)

expression

52.

Multiplying 5 and dividing 5 are ________________.

a)

equations

b)

inverse operations

c)

solutions of an equation

d)

expressions

53.

Write an equation for the word sentence:
The sum of a number and 4.5 is 8.2.

a)

8.2=4.5n

b)

n+4.5=8.2

c)

8.2n=4.5

d)

n-4.5=8.2

54.

Determine whether the given value of the variable is a solution of the equation.
x - 24 = 58; x = 82

a)

yes

b)

no

55.

Determine whether the given value of the variable is a solution of the equation.
x - 24 = 58; x = 82

a)

yes

b)

no

56.

Solve the equation:
a + 2.4 = 7.8

a)

a = 10.2

b)

a = 5.4

c)

a = 17.76

d)

a = 3.25

57.

Solve the equation:
b - ¼ = 3 ½

a)

b = 3 ¼

b)

b = 14

c)

b = ⅞

d)

b = 3 ¾

58.

Solve the equation:
3x = 27

a)

x = 9

b)

x = 24

c)

x = 81

d)

x = 30

59.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

60.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

61.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

62.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

63.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

64.

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

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

65.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

66.

a)

b)

c)

d)

67.

x^-3

a)

-x³

b)

1 / x³

c)

1 / x^-3

d)

-x^-3

68.

a)

b)

c)

d)

69.

a)

b)

c)

d)

70.

a)

b)

c)

d)

71.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

72.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

73.

Write with positive exponents:

1/a^-2

a)

a^-2

b)

a²

c)

1/a¹

74.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

75.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

76.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

77.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

78.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

79.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

80.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

81.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

82.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

83.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

84.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

85.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

86.

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

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

87.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

88.

a)

b)

c)

d)

89.

a)

b)

c)

d)

Exponents and Algebraic equations

Total questions: 89

Worksheet time: 4hrs 32mins

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