Free Printable Inverses, Domain, Solving Radical, Exponents Review

1.

Are the blue and red graphs inverse functions?

a)

Yes, the functions reflect over y = x

b)

No, they do not reflect over the x - axis.

c)

No way to tell from a graph

2.

What type of function is shown?

a)

cube root

b)

square root

c)

logarithm

d)

exponential

3.

What does it mean to find the inverse of a function when given a table of values?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

4.

f^-1(x) is written when...

a)

The inverse is not a function

b)

The function fails the HLT

c)

The inverse is a function

d)

There are two different functions

5.

The graph of a function is shown. What are the domain and range of this function?

a)

Domain: (-∞, ∞)
Range: (-∞, 2]

b)

Domain: [2, ∞)
Range: (-∞, ∞)

c)

Domain: (-∞, ∞)
Range: (-∞, ∞)

d)

Domain: (-∞, 2]
Range: [2, ∞)

6.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

7.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

8.

Bacteria growing can be represented by which of the following?

a)

Exponential Growth

b)

Exponential Decay

9.

Are the following inverses of each other?

a)

True

b)

False

10.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

11.

Which is the inverse of the table?

a)

b)

c)

d)

12.

Are the blue and red graphs inverse functions?

a)

Yes, the functions reflect over y = x

b)

No, they do not reflect over the x - axis.

c)

No way to tell from a graph

13.

I throw a ball 10 feet in the air. If the domain is the number of seconds, what is a possible range for the function?

a)

All real numbers between 0 and 10

b)

Integers between 0 and 10

c)

Rational Numbers between 0 and 10

d)

Whole Numbers between 0 and 10

14.

Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.

a)

Domain: (-∞, ∞) Range: [-∞, 4]

b)

Domain: [1, ∞) Range: (-∞, 4]

c)

Domain: [-1. ∞) Range: [4, ∞)

d)

Domain: [4, ∞) Range: [-1,∞)

15.

State if the functions are inverses.

h\left(x\right)=\ \frac{\left(x-3\right)^2}{9},\ x\ \ge\ 3

f\left(x\right)\ 9\sqrt{x+3}

a)

Yes

b)

No

16.

Does this table represent a function?

a)

Yes!

b)

No!

c)

I Don't Know

17.

Is this relation a Function?

a)

Yes

b)

No

c)

I Don't Know

18.

Which mapping diagram is not a function?

a)

b)

c)

d)

19.

Identify the domain:
f(x) = x

a)

(-oo, oo)

b)

x ≠ 0

c)

(-oo, 0]

d)

[0, oo]

20.

Identify the domain:
f(x) = x² + 4x + 3

a)

[3, oo)

b)

(-oo, 3]

c)

x ≠ 3

d)

(-oo, oo)

21.

Identify the domain:
f(x) = √x

a)

(-oo, oo)

b)

[0, oo)

c)

(0, oo)

d)

x ≠ 0

22.

Identify the domain:
f(x) = √(x - 2)
OR f(x) = (x - 2)^1/2

a)

(-oo, oo)

b)

x ≠ 2

c)

[2, oo)

d)

(2, oo)

23.

Identify the domain:
f(x) = √(x + 3)
OR f(x) = (x + 3)^1/2

a)

x ≠ -3

b)

(-oo, oo)

c)

(-3, oo)

d)

[-3, oo)

24.

Identify the domain:
f(x) = 1 / x

a)

(-oo, oo)

b)

(0, oo)

c)

x ≠ 0

d)

[0, oo)

25.

Identify the domain:
f(x) = 1 / (x - 5)
OR f(x) = (x - 5)^-1

a)

[5, oo)

b)

(5, oo)

c)

(-oo, oo)

d)

x ≠ 5

26.

Identify the domain:
f(x) = 1 / √x
OR f(x) = x^-1/2

a)

(0, oo)

b)

[0, oo)

c)

(-oo, 0] U [0, oo)

d)

x ≠ 0

27.

State the domain:

a)

(-oo, 7) U (7, oo)

b)

(-oo, -7) U (7, oo)

c)

(7, oo)

d)

[7, oo)

28.

State the domain:

a)

(-oo, -4) U (-4, oo)

b)

[-4, oo)

c)

(-oo, -4]

d)

(-oo, oo)

29.

State the domain:

a)

(-oo, 4)

b)

(-oo, 2]

c)

[2, oo)

d)

[4, oo)

30.

State the domain:

a)

(-oo, oo)

b)

(-oo, -2) U (-2, 2) U (2, oo)

c)

(-2, oo)

d)

[-2, oo)

31.

Which equation describes the transformation of shifting f(x)=x³ three units left?

a)

x³ + 3

b)

x³ - 3

c)

(x + 3)³

d)

(x - 3)³

32.

Is this exponential growth or decay?

a)

Growth

b)

Decay

33.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

34.

Is this exponential growth or decay?

a)

Growth

b)

Decay

35.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

36.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

37.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

38.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

39.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

40.

Is y = -5(4)^x growth or decay?

a)

Growth

b)

Decay

41.

Is y = 54(.20)^x growth or decay?

a)

Growth

b)

Decay

42.

What is the range of y=2^x+1-3?

a)

(-∞,∞)

b)

(-3, ∞)

c)

(-1, ∞)

d)

(-∞, -3)

43.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

a)

f(x)=400(1+3)^x

b)

f(x)=400(1-0.03)^x

c)

f(x)=400(1+0.03)^x

d)

f(x)=400(0.03)^x

44.

A new savings account is opened with $400 and gains 3% every yr. What's the amount after 5 years?

a)

$415

b)

$463.71

c)

$343.49

d)

$460.12

45.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

a)

y=8(15,000)^x

b)

y=15,000(1.08)^x

c)

y=15,000(0.92)^x

d)

y=15,000(0.08)^x

46.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?

a)

$800

b)

$8367.70

c)

$6600

d)

$25,707.36

47.

In an exponential function, what does the 'a' represent?

a)

Slope

b)

Rate of change

c)

Y-intercept

d)

Multiplier

48.

Is the graph linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

49.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

50.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

51.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

52.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

53.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

54.

Is this exponential growth or decay?

a)

Growth

b)

Decay

55.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

56.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

57.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

58.

Identify the initial value:

y = 6.87 (4)^x

a)

a = 4

b)

a = 6.87

c)

a = 3

d)

a = 1

59.

The function y = 125(1.13)^xrepresents Mr. Gantz's recent investments where x is measured in years. Which is NOT true?

a)

Mr. Gantz initial invested $125

b)

Mr. Gantz's money grows by 13% per year

c)

After 4 years Mr. Gantz will have about $203.81

d)

Mr. Gantz earns more money in year one than in year 5

60.

What type of pattern do exponential functions have?

a)

Adds or subtracts by the same number every time

b)

Multiplies or divides by the same number every time

c)

Square roots all the inputs

61.

What is the graph of the function

y=5\cdot2^x

a)

b)

c)

d)

62.

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

a)

$f\left(x\right)=2x+1600$

b)

$f\left(x\right)=1600\times2$

c)

$f\left(x\right)=1600\cdot2^x$

63.

The function

f(x)=1600\cdot2^x

gives the number of insects after x years. How many insects were there initially?

a)

1600

b)

2

c)

There is not enough information to tell.

64.

Suppose the population of a species of insects doubles every year. The function $f\left(x\right)=1600\left(2\right)^x$ gives the number of insects after x years.

How many insects will there be after 3 years?

a)

9600

b)

12,800

c)

200

d)

8000

65.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

66.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

67.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

68.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

69.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

70.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

71.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

72.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

73.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function.

74.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function.

75.

What is the domain of the function shown below?

a)

-2 < x < 5

b)

0 < x < 12

c)

y > 0

d)

All Real Numbers

76.

What is the range of the function shown below?

a)

0 < y < 12

b)

-2 < y < 5

c)

y > 0

d)

All Real Numbers

77.

Which represents exponential decay?

a)

A

b)

B

c)

C

d)

D

78.

Determine the horizontal asymptote for the function

f(x) = 3(2)^x-4+ 5

a)

x=4

b)

y=4

c)

x=5

d)

y=5

79.

Determine the range for the function

f(x) = 3(2)^x-4+ 5

a)

[5,∞)

b)

(5,∞)

c)

[4,∞)

d)

(4,∞)

80.

Determine the domain for the function
f(x)=3(2)^x-4+5

a)

[5,∞)

b)

(5,∞)

c)

(-∞,∞)

d)

(∞,-∞)

81.

a)

f(x)=2^x-1-3

b)

f(x)=2^x-1+3

c)

f(x)=2^x+1-3

d)

f(x)=2^x+1+3

82.

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

a)

Vertically stretched by a factor of 2, right 3, and up 1

b)

Vertically compressed by a factor of 1/2, left 3 and down 1

c)

Vertically compressed by a factor of 1/2, right 3, and down 1

d)

Vertically stretched by a factor of 2, left 3, and up 1

83.

Which of the following is an exponential decay? (Check all that apply)

a)

y = 5⋅(1/5)^x

b)

y = 5⋅(7/2)^x

c)

y = 5⋅8^x

d)

y = 5⋅1.5^x

84.

What is the a-value of the function?

a)

4

b)

3

c)

2

d)

1

85.

Which of the following are TRUE about the function? (Choose all that apply)

a)

The exponential decay has been reflected.

b)

The exponential growth has been reflected.

c)

The function has been shifted down 2 units.

d)

The function has an growth rate of 2.

86.

Is this exponential growth or decay?

a)

Growth

b)

Decay

87.

Which function represents the table of values?

a)

f(x) = 4x

b)

f(x) = x⁴

c)

f(x) = 4^x

d)

f(x) = 4^x-1

88.

Does this table represent exponential growth or decay?

a)

Growth

b)

Decay

89.

Is this exponential growth or decay?

a)

Growth

b)

Decay

90.

State the domain:

a)

(-oo, oo)

b)

(-oo, 3) U (3, oo)

c)

(-oo, -3) U (-3, 3) U (3, oo)

d)

[3, oo)

91.

State the domain:

a)

(-oo, 2]

b)

[5, oo)

c)

(-oo, 5/2]

d)

[5/2, oo)

92.

State the domain:

a)

(-oo, 3) U (3, oo)

b)

(-oo, 3]

c)

(-oo, 3)

d)

(3, oo)

93.

State the domain:

a)

(-oo, oo)

b)

(-oo, -2) U (-2, 2) U (2, oo)

c)

(-2, oo)

d)

[-2, oo)

94.

State the domain:

a)

(-oo, oo)

b)

[0, oo)

c)

(-oo, 0)

d)

(0, oo)

95.

State the domain:

a)

(-4, oo)

b)

[-4. oo)

c)

(-oo, -4]

d)

(-oo, oo)

96.

State the domain:

a)

(-oo, 4]

b)

[4, oo)

c)

(-oo, -4) U (-4, oo)

d)

[-4, oo)

97.

State the domain:

a)

(-oo, oo)

b)

(-oo, 6) U (-2, oo)

c)

(-oo, -2) U (-2, 6) U (6, oo)

d)

(-oo, -2) U (-2, 0) U (0, 6) U (6, oo)

98.

State the domain:

a)

(-oo, oo)

b)

[3, oo)

c)

(3, oo)

d)

(-oo, 3) U (3, oo)

99.

State the domain:

a)

(-oo, oo)

b)

(-oo, 0]

c)

[0, oo)

d)

(-oo, 0) U (0, oo)

100.

f(x) = -4x - 10
f( ____ ) = 10

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

101.

f(x) = -3x + 3
find f(0)

a)

0

b)

-3

c)

3

d)

-1

102.

h(a) = 3 - 2aFind h(-3)

a)

12

b)

-2

c)

-3

d)

9

103.

a)

f(2) = 1

b)

f(2) = 2

c)

f(2) = 4

d)

f(2) = 7

104.

What is the domain?

a)

(-∞, +∞)

b)

(-4, +∞)

c)

[-1.5, 1.5]

d)

(-∞, -4]

105.

What is the domain?

a)

[-0.5, 1]

b)

[-1, 0.5]

c)

(-∞, ∞)

d)

[-0.3,1]

106.

Which value is not part of the domain?

a)

0

b)

2

c)

-2

d)

5

107.

What value is not part of the range?

a)

0

b)

2

c)

5

d)

-1

108.

What is the range of the graph?

a)

(-∞, +∞)

b)

[-1, 1]

c)

(-∞, -1] ⋃ [1, +∞)

d)

[0, +∞)

109.

What is the range?

a)

[-∞, +∞]

b)

[-2, 2]

c)

(-∞, ∞)

d)

[0, 2]

110.

a)

2^1/6

b)

64

c)

6^1/2

d)

2⁶

111.

Write the expression in exponential form:
√23

a)

23^1/2

b)

23^-1/2

c)

23²

d)

23^-2

112.

Write the expression in radical form.

y^1/2

a)

√y

b)

∛y

c)

√y²

d)

∛y²

113.

Check all that is true

Simplify the expression:

36^1/2

a)

6

b)

$\sqrt{36}$

c)

-6

d)

1296

114.

Check all that is true

Simplify the expression:

27^1/3

a)

3

b)

9

c)

∛27

d)

3³

115.

Write as a radical expression
y¹⁄ ³

a)

∛y

b)

y³

c)

√y

d)

1∕ 3y

116.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

117.

$8^{\frac{1}{3}}$ check at that applies

a)

24

b)

2

c)

cubed root of 8

d)

512

118.

Check all that applies

a)

8

b)

4

c)

1024

d)

256^1/4

119.

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

a)

$\sqrt{5}$

b)

10

c)

25

d)

$\sqrt{25}$

120.

$2^{\frac{1}{3}}$

a)

2

b)

cubed root of 3

c)

6

d)

cubed root of 2

121.

an exponent 1/2 means

a)

square root

b)

cube root

c)

fourth root

d)

fifth root

122.

Your exponents denominator is the (a) ?

123.

In the following, what is my base $\left(-2\right)^{\frac{1}{3}}$

a)

-2

b)

2

124.

$-2^{\frac{1}{6}}$

What is my base

a)

-2

b)

2

125.

$\sqrt{13}$

a)

$6$

b)

$13$

c)

$13^{\frac{1}{2}}$

d)

$13^2$

126.

What is the 5th root of 1024?

a)

5120

b)

4

c)

160

d)

32

127.

$512^{\frac{1}{3}}$

a)

8

b)

22

c)

1539

d)

171

128.

Bonus:

21z^{\frac{1}{2}}

a)

$21^2$ $z^2$

b)

21 $z^2$

c)

$\sqrt{21z}$

d)

21 $\sqrt{z}$

129.

a)

a⁸

b)

a¹⁵

c)

a³⁵

d)

a^-2

130.

a)

b)

c)

d)

131.

a)

0

b)

1

c)

3

d)

31

132.

a)

b)

c)

d)

133.

a)

b)

c)

d)

134.

a)

a^-3

b)

a³

c)

3a

d)

1/a^-3

135.

a)

b)

c)

d)

136.

a)

b)

c)

d)

137.

a)

b)

c)

d)

138.

a)

b)

c)

d)

139.

a)

b)

c)

d)

140.

a)

b)

c)

d)

141.

a)

b)

c)

d)

142.

a)

0

b)

1

c)

3

d)

31

143.

a)

b)

c)

d)

144.

a)

b)

c)

d)

145.

a)

a⁶

b)

a^-60

c)

a⁴

d)

a^-7

146.

a)

a⁶b⁴

b)

a⁸b

c)

a⁸b⁴

d)

a²b⁴

147.

Write with positive exponents:

a)

a^-2

b)

a²

c)

1/a¹

148.

a)

b)

c)

d)

149.

a)

b)

c)

2x⁴y⁴

d)

2

150.

Simplify the rational expression
$x^4\cdot x^5\cdot x^3$

a)

$x^{12}$

b)

$x^{19}$

c)

$x^{27}$

d)

$x^{60}$

151.

Write in exponential form
√x⁵

a)

X¹∕ ⁵

b)

X ²⁄⁵

c)

X⁵⁄ ²

d)

X⁵

152.

When simplifying a value with a rational exponent, which part should you do first?

a)

Root

b)

Power

153.

Which of the following is correct?

a)

Root over Power

b)

Power over Root

154.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

155.

What is the value of (-2)^3?

a)

-8

b)

-6

c)

6

d)

8

156.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

157.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

158.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

159.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

160.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

161.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

162.

What is 7¹?

a)

1

b)

7

c)

0

d)

14

163.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

164.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

165.

Simplify:

a)

2

b)

8

c)

16

d)

32

166.

Simplify:

a)

2

b)

4

c)

8

d)

16

167.

Simplify the following expression:

a)

16

b)

32

c)

40

d)

64

168.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

169.

Simplify:

a)

2

b)

4

c)

16

d)

64

170.

Simplify:

a)

6

b)

12

c)

36

d)

432

171.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

172.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

173.

$\frac{7n^5m^{-2}}{14n^{-2}m^4}$ Simplify the rational expression. Use positive exponents.

a)

$2n^3m^2$

b)

$\frac{7nm^3}{14mn^2}$

c)

$\frac{n^3}{2m^2}$

d)

$\frac{n^7}{2m^6}$

174.

Simplify $\left(x^{\frac{1}{7}}\right)^{\frac{3}{2}}$ and write your answer in radical form.

a)

$^{21}\sqrt{x^2}$

b)

$\ ^{14}\sqrt{x^3}$

c)

$\sqrt{x^3}$

d)

$^3\sqrt{x^{14}}$

175.

$yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}$

a)

$x^{\frac{4}{3}}y^{\frac{5}{2}}$

b)

$x^{\frac{2}{3}}y^{\frac{1}{2}}$

c)

$x^{\frac{1}{3}}y^{\frac{3}{2}}$

d)

$x^{\frac{2}{3}}y^{\frac{4}{3}}$

176.

Simplify . Your answer should contain only positive exponents. $\left(a^{\frac{1}{2}}b^{\frac{1}{2}}\right)^{-1}$

a)

$\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$

b)

$a^{\frac{1}{2}}b^{\frac{1}{2}}$

c)

$-\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$

d)

$-a^{\frac{1}{2}}b^{\frac{1}{2}}$

177.

Simplify . Your answer should contain only positive exponents. $\left(x^0y^{\frac{1}{3}}\right)^{\frac{3}{2}}x^0$

a)

$y^{\frac{1}{2}}$

b)

$1$

c)

$y^{\frac{4}{3}}$

d)

$0$

178.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

179.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

180.

Simplify:

a)

∛121

b)

121

c)

√11

d)

1331

181.

Write the expression in exponential form:
∛x²

a)

x^3/2

b)

x^2/3

c)

x^1/2

d)

x^1/3

182.

Simplify . Your answer should contain only positive exponents. $4v^{\frac{2}{3}}\cdot v^{-1}$

a)

$4v^{\frac{1}{3}}$

b)

$\frac{4}{v^{\frac{1}{3}}}$

c)

$\frac{v^{\frac{1}{3}}}{4}$

d)

$\frac{1}{4v^{\frac{1}{3}}}$

183.

a)

$16z^7$

b)

$16z^{-7}$

c)

$\frac{8}{z^7}$

d)

$\frac{16}{z^7}$

184.

Simplify: $\frac{\sqrt[]{3^5}}{\sqrt[]{3}}$

a)

$81$

b)

$9$

c)

$3\sqrt[]{3^5}$

d)

$\sqrt[]{3^6}$

185.

Simplify: $\sqrt[4]{w}\cdot\sqrt[]{w}$

a)

$\sqrt[]{w^3}$

b)

$w^3\cdot\sqrt[4]{w}$

c)

$\sqrt[4]{w^3}$

d)

$w\cdot\sqrt[4]{w^3}$

186.

Read the question carefully and choose the correct answer.

a)

A

b)

B

c)

C

d)

D

187.

Match the radical expression with its equivalent exponential equation.

$\sqrt[]{m^8}$

a)

$m^4$

b)

$m^{\frac{1}{8}}$

c)

$m^{\frac{1}{4}}$

d)

$\frac{1}{m^4}$

188.

Which expressions are equivalent to $\left(\sqrt[3]{x}\right)^2$ ?

Choose ALL answers that apply.

a)

$\left(x^{\frac{1}{3}}\right)^2$

b)

$\sqrt[3]{x^2}$

c)

$\frac{1}{x^{\frac{2}{3}}}$

d)

$x^{\frac{3}{2}}$

189.

$\sqrt[3]{x^{15}}$

a)

$x^5$

b)

$x^{\frac{1}{5}}$

c)

$x^{12}$

d)

$x^{18}$

190.

Simplify

a)

b^21/20

b)

b^43/20

c)

b^13/20

d)

b⁴

191.

Simplify the following and rewrite the answer in radical form:

$\frac{b^{\frac{3}{4}}}{b^{\frac{2}{3}}}$

a)

$\sqrt[4]{b^2}$

b)

$\sqrt[17]{b^{12}}$

c)

$\sqrt[12]{b^{17}}$

d)

$\sqrt[12]{b}$

192.

Simplify and put your answer in radicals:

$\sqrt[4]{x^3}\cdot\sqrt[3]{x^2}$

a)

$\sqrt[7]{x^5}$

b)

$\sqrt[12]{x^6}$

c)

$\sqrt[12]{x^5}$

d)

$\sqrt[12]{x^{17}}$

193.

Simplify

a)

2x²yz² ⁵√(xy³)

b)

2x²yz⁴ ⁵√(xy³)

c)

2xyz ⁵√(xy³z)

d)

2x²yz⁴ ⁵√(xy³z)

194.

Simplify: ∜(16c⁵d⁸)

a)

2cd(∜c)

b)

2cd²(∜c)

c)

4cd²(∜c)

d)

4cd²

195.

Simplify

a)

2∛-2

b)

1 / (2∛-2)

c)

-1/2

d)

Not possible

196.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

197.

a)

3√3x

b)

3√x

c)

2√3x

d)

2√x

198.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

199.

Simplify

a)

√5

b)

-3√6

c)

√6

d)

6

200.

a)

A

b)

B

c)

C

d)

D

201.

8

a)

W

b)

O

c)

R

d)

K

202.

13

a)

True

b)

False

203.

16

a)

a

b)

b

c)

c

d)

d

204.

Can you leave a negative exponent in your answer?

a)

YES

b)

NO

205.

2

a)

C

b)

A

c)

V

d)

E

206.

Simplify the expression:

a)

a. 11√5 + 2∛5

b)

b. √365 + ∛40

c)

c. 13√5

d)

d. 9√5

207.

Solve the radical equation: $11=2+\sqrt{90-x}$

a)

x = 9

b)

x = 82

c)

x = -9

d)

x = -82

208.

Solve the radical equation: $\sqrt{x-5}=\sqrt{23-x}$

a)

x = -14

b)

x = 14

c)

No Solution

d)

x = 28

209.

Solve the radical equation: $6+\sqrt{6-15x}=15$

a)

x = -5

b)

x = 1/5

c)

No Solution

d)

x = -1

210.

Solve the radical equation: $4+\sqrt{\frac{x}{9}}=5$

a)

x = 9

b)

x = -9

c)

x = 21

d)

x = -21

211.

Solve the radical equation: $10=\sqrt{14x+2}$

a)

x = 102

b)

x = 12

c)

x = 98

d)

x = 7

212.

Solve the radical equation: $\sqrt{2x-7}=\sqrt{x+2}$

a)

x = 3

b)

x = -9

c)

x = -5/3

d)

x = 9

213.

Solve the radical equation: $-6+\sqrt{\frac{x}{6}}=-3$

a)

x = 9

b)

x = 18

c)

x = 486

d)

x = 54

214.

Solve the radical equation: $\sqrt{x-3}+5=9$

a)

x = 5

b)

x = 11

c)

x = 19

d)

x = 16

215.

Solve the radical equation: $\sqrt{x+1}=\sqrt{4x-8}$

a)

x = 3

b)

x = -3

c)

x = 2

d)

x = -2

216.

Solve the radical equation: $\sqrt{6x+1}-8=3$

a)

x = 20

b)

x = 11

c)

x = 4

d)

x = -2

217.

Solve and check your solution(s).

a)

x = -2

b)

x = -2, 3

c)

x = -2, -3

d)

x = -3

218.

Solve and check your solution(s).

a)

x = 1

b)

x = 9

c)

x = all real solutions

d)

x = 9, 1

219.

Solve and check your solution(s).

a)

x = 2, 3

b)

x = -2, -3

c)

x = -1, -6

d)

No solution

220.

Solve the radical equation

a)

25

b)

50

c)

125

d)

5

221.

a)

9

b)

18

c)

486

d)

54

222.

Solve the radical equation

a)

9

b)

82

c)

-9

d)

-82

223.

Solve

a)

-14

b)

14

c)

no solution

d)

28

224.

Solve

a)

102

b)

12

c)

98

d)

7

225.

Solve

a)

20

b)

-4

c)

4

d)

-10

226.

Solve

a)

-5

b)

5

c)

10

d)

25

227.

a)

-4

b)

0, -4

c)

4

d)

0, 4

228.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

229.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

230.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

231.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

232.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

233.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

234.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

235.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

236.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

Inverses, Domain, Solving Radical, Exponents Review

Total questions: 236

Worksheet time: 17hrs 37mins

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