Free Printable Chapter 8 Review

1.

a)

7²

b)

7^1/2

c)

7^-2

d)

7^-1/2

2.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

3.

a)

2^3/5

b)

-2^3/5

c)

2^5/3

d)

8⁵

4.

a)

5x^5/4

b)

5x^-5/4

c)

(5x)^-5/4

d)

(5x)^-4/5

5.

a)

(5x)^-2/1

b)

(5x)^2/1

c)

(5x)^-1/2

d)

(5x)^1/2

6.

a)

(6v)³

b)

6v^3/2

c)

(6v)^3/2

d)

(6v)^2/3

7.

Re-write $\left(5xy\right)^{-\frac{1}{3}}$ in radical form.

a)

$\ ^3\sqrt{5xy}$

b)

$\frac{1}{\ ^3\sqrt{5xy}}$

c)

$\frac{1}{\left(5xy\right)^3}$

d)

$\frac{5}{\ ^3\sqrt{xy}}$

8.

a)

125

b)

5

c)

25

d)

100

9.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

10.

Re-write $x^{\frac{7}{8}}$ in radical form.

a)

$\ ^7\sqrt{x^8}$

b)

$7x^8$

c)

$\left(^8\sqrt{x}\right)^7$

d)

$\frac{7x}{8}$

11.

Re-write $\left(\sqrt{y}\right)^5$ in rational exponent form.

a)

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

b)

$y^5$

c)

$y^{\frac{5}{10}}$

d)

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

12.

Change to rational exponent form.

a)

$x$

b)

$x^{12}$

c)

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

d)

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

13.

Match each expression to it's radical form:

a)

$\sqrt[]{25^5}$

1.

$25^{\frac{5}{2}}$

b)

$\sqrt[5]{25^2}$

2.

$25^{\frac{2}{5}}$

c)

$\sqrt[]{5^{25}}$

3.

$5^{\frac{25}{2}}$

d)

$\sqrt[25]{5^2}$

4.

$5^{\frac{2}{25}}$

14.

What should be the first step you take to solve the equation below?

$2\sqrt{x-5}=31$

a)

Divide both sides by 2

b)

Square both sides

c)

Add 5 to both sides

d)

Subtract 31 from both sides

15.

To undo a square root in an equation, you need to...

a)

multiply both sides by 2

b)

square both sides

c)

take the square root of both sides

d)

divide both sides by 2

16.

What should be the first step you take to solve the equation below?

$\left(x-2\right)^{\frac{1}{3}}=5$

a)

Divide both sides by 3

b)

Add 2 to both sides

c)

Cube root both sides

d)

Raise both sides to the power of 3

17.

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

a)

x = 9

b)

x = 82

c)

x = -9

d)

x = -82

18.

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

a)

x = -5

b)

x = 1/5

c)

No Solution

d)

x = -1

19.

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

a)

x = -14

b)

x = 14

c)

No Solution

d)

x = 28

20.

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

a)

x = 9

b)

x = -9

c)

x = 21

d)

x = -21

21.

Solve

a)

x= -9

b)

x= -2 and 3

c)

x= 5

d)

x= 0

22.

Solve. Don't forget to check your answers!

a)

6

b)

9

c)

-6

d)

-9

23.

Solve the radical equation. Don't forget to check your answers!

a)

x = -6

b)

x = 3

c)

x = 7/3

d)

x = -5

24.

$\left(2x-8\right)^{\frac{2}{3}}=4$ Solve the equation for x.

a)

x = 8

b)

x = 0

c)

x = 7

d)

no solution

25.

Solve for x:

x^3/2 + 7 = 71

a)

2

b)

4

c)

16

d)

8

26.

Write the expression in exponential form:
∛(2x)²

a)

(2x)^2/3

b)

2x^2/3

c)

2x^3/2

d)

(2x)^3/2

27.

Which of the following is in radical form?

a)

$\sqrt[4]{5^3}$

b)

$5^{\frac{3}{2}}$

28.

Solve

a)

29

b)

14

c)

21

d)

17

29.

Solve

a)

-4/3

b)

7/3

c)

5/3

d)

-1/3

30.

Solve the Rational Exponent Equation:

a)

A

b)

B

c)

C

d)

D

31.

Rewrite the expression without using a radical:

a)

(2x + 1)^3/4

b)

(2x + 1)^4/3

c)

4(2x + 1)³

d)

3(2x + 1)⁴

32.

Solve. (3x - 5)^1/4+ 3 = 4

a)

4/3

b)

2

c)

-2

d)

-4/3

33.

Solve. (2x - 5)^1/3= 3

a)

16

b)

3

c)

7

d)

no solution

34.

Solve. (6x - 3)^2/3 + 6 = 15

a)

x = -5, x = 4

b)

x = 5

c)

x = 5, x = -4

d)

no solution

35.

Solve for x:

a)

3

b)

2

c)

1

d)

0

36.

Solve for x:

a)

6

b)

7

c)

8

d)

9

37.

Solve for x:

a)

2

b)

63

c)

65

d)

no solution

38.

Solve for x:
(2x - 1)^3/4 + 9 = 36

a)

27

b)

13

c)

41

d)

82

39.

Solve for x:
7 + x^3/2 = 71

a)

2

b)

4

c)

16

d)

8

40.

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

a)

6

b)

8

c)

$\pm8$

d)

$2\sqrt[3]{2}$

41.

Solve for x:

$3x^2=27$

a)

3

b)

$\pm3$

c)

81

d)

no solution

42.

$\left(-64\right)^{\frac{-2}{3}}$

(a)

43.

$\left(-8\right)^{\frac{2}{3}}$

(a)

44.

$\left(8\right)^{\frac{2}{3}}$

(a)

45.

$\left(125\right)^{\frac{-1}{3}}$

(a)

46.

$\left(16\right)^{\frac{-3}{2}}$

(a)

47.

$81^{\frac{-3}{4}}$

(a)

48.

$\left(-64\right)^{\frac{-2}{3}}$

(a)

49.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

50.

Simplify

√45n³

a)

3n√5n

b)

4n√8

c)

4n√-8

d)

10√n

51.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

52.

Simplify

a)

A

b)

B

c)

C

d)

D

53.

√45x⁴y⁷

a)

3x²y³√5

b)

9x²y³√5y

c)

3x²y³√5y

d)

3x⁴y⁷

54.

a)

x³√x

b)

7x√x²

c)

x⁶√x

d)

√x

55.

a)

x⁴y⁴√y

b)

72xy

c)

xy√y

d)

x²y³√x²

56.

a)

xy√y

b)

x²y²√y

c)

xy√xy

d)

2x2y√y

57.

a)

2x³y¹⁰√y

b)

2x³y⁷

c)

x³y¹⁰√2y

d)

2x⁵y¹⁰√xy

58.

a)

2x¹²y¹⁸√6

b)

12x¹²y¹⁸

c)

2x¹²y⁶√6

d)

12x¹²y6

59.

a)

9x⁴√x

b)

9x³

c)

3x⁴√2x

d)

3x³√2

60.

a)

x⁵y¹⁰√xy

b)

x³√y¹⁰

c)

x⁶y²⁰

d)

x³y¹⁰

61.

Simplify the following:

a)

A

b)

B

c)

C

d)

D

62.

Simplify the following:

a)

A

b)

B

c)

C

d)

D

63.

Simplify the following:

a)

A

b)

B

c)

C

d)

D

64.

Simplify the following:

a)

A

b)

B

c)

C

d)

D

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

Simplify $\sqrt[\ ]{16x^{12}y^{16}}$

a)

$8x^6y^4$

b)

$4x^{10}y^{14}$

c)

$4x^6y^4$

68.

Simplify $\sqrt[3]{27x^9y^{12}}$

a)

$3x^3y^4$

b)

$9x^3y^4$

c)

$3x^6y^9$

69.

Simplify $\sqrt[4]{81x^4y^{12}}$

a)

$9x^2y^3$

b)

$3y^8$

c)

$3xy^3$

70.

$2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$

a)

$24\sqrt{3}$

b)

$24\sqrt{3}+5\sqrt{8}$

c)

$14\sqrt{3}+10\sqrt{2}$

d)

$14\ \sqrt[]{3}+3\ \sqrt[]{8}$

71.

$\sqrt[3]{16}-\sqrt[3]{250}$

a)

$3\ \sqrt[]{-234}$

b)

$-3\sqrt[3]{2}$

c)

$7\sqrt[3]{2}$

d)

$3\sqrt[3]{2}$

72.

$5\sqrt{200}-5\sqrt{8}$

a)

$60\sqrt{2}$

b)

$\sqrt{8}$

c)

$40\sqrt{2}$

d)

$2\ \sqrt[]{2}$

73.

Find the area of the rectangle

a)

11

b)

$22\ +3\sqrt{6}$

c)

$22+\sqrt{42}-2\sqrt{6}$

d)

$34+11\sqrt{6}$

74.

$3\sqrt[4]{96}-\sqrt[4]{486}-\sqrt[]{2}$

a)

$3\ \sqrt[4]{6}-2\ \sqrt[]{2}$

b)

$9\sqrt[4]{6}-3\ \sqrt[]{2}$

c)

$3\sqrt[4]{6}-3\ \sqrt[]{2}$

d)

$3\sqrt[4]{6}-\sqrt[]{2}$

75.

$\sqrt[]{15x}\left(5\ \sqrt[]{6}-5\ \sqrt[]{5x}\right)$

a)

$-15x\ \sqrt[]{5x}+5$

b)

$15\ \sqrt[]{10x}-25x\ \sqrt[]{3}$

c)

$-8\ \sqrt[]{2x}+8x\ \sqrt[]{x}$

d)

$10x\ \sqrt[]{3}-12x\ \sqrt[]{5x}$

76.

$3\sqrt[3]{40}+3\sqrt[3]{40}$

a)

$24\sqrt[3]{5}$

b)

$12\sqrt[3]{5}$

c)

$18\sqrt[3]{5}$

d)

$6\sqrt[3]{5}$

77.

$2\ \sqrt[]{27}+2\ \sqrt[]{3}$

a)

$0$

b)

$-2\ \sqrt[]{3}$

c)

$2\ \sqrt[]{3}$

d)

$8\ \sqrt[]{3}$

78.

Which number is the index?

a)

3

b)

4

c)

5

79.

We get NO SOLUTIONS when we have a negative number under radical and ______

a)

the index is ODD

b)

the index is EVEN

80.

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

81.

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

a)

4x²+24

b)

4x²+20x+24

c)

4x²+12x+24

d)

4x²+4x+24

82.

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

83.

f(x)=3x²+1
g(x)=4x+5
What is (f+g)(2)

a)

13

b)

0

c)

26

d)

6x²+8x+12

84.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

85.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

86.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

87.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

88.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

a)

8

b)

-8

c)

28

d)

None of these.

89.

Find f(2).

a)

-2

b)

-18

c)

24

d)

6

90.

Find g(5)

a)

3375

b)

375

c)

25

d)

45

91.

g(4x)

a)

1728x³

b)

12x³

c)

192x³

d)

36x³

92.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

93.

f(g(x))

a)

3x - 16

b)

3x - 2

c)

3x - 26

d)

4x - 2

94.

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

95.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

96.

g(a) = 4a + 1

h(a) = -3a + 2

Find g(h(1))

a)

3

b)

-3

c)

21

d)

-21

97.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

98.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(3\right)\right)$

a)

34

b)

71

c)

35

d)

142

99.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $g\left(f\left(-1\right)\right)$

a)

2

b)

15

c)

7

d)

-9

100.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(x\right)\right)$

a)

$4x^2-1$

b)

$4x^2-2$

c)

$8x^2-1$

d)

$16x^2-1$

101.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $g\left(f\left(x\right)\right)$

a)

$4x^2-1$

b)

$4x^2-2$

c)

$8x^2-1$

d)

$16x^2-1$

102.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(f\circ g\right)\left(2\right)$

a)

$\frac{1}{4}$

b)

$\frac{1}{8}$

c)

$\frac{7}{2}$

d)

8

103.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ g\right)\left(-4\right)$

a)

44

b)

-40

c)

-30

d)

-28

104.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ f\right)\left(x\right)$

a)

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

b)

$3x+2$

c)

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

d)

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

105.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $f\left(g\left(x\right)\right)$

a)

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

b)

$3x+2$

c)

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

d)

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

106.

If $f\left(x\right)=x^2$ and $g\left(x\right)=\sqrt{x}$ find $g\left(f\left(x\right)\right)$

a)

$x^4$

b)

$x$

c)

$\sqrt[]{x}$

d)

$x^2$

107.

If $f\left(x\right)=x^2$ and $g\left(x\right)=\frac{1}{x^2}$ find $\left(f\circ g\right)\left(-1\right)$

a)

$\frac{1}{4}$

b)

$1$

c)

$-1$

d)

$-\frac{1}{4}$

108.

When $f(x)=x^2+9$ and $g(x)=x-9$ , find $f(x)-g(x)$

a)

$x^2+x+9$

b)

$x^2-x+9$

c)

$x^2-x$

d)

$x^2-x+18$

109.

When $f(x)=9-3x$ and $g(x)=5x-7$ , find $f(x)+g(x)$

a)

$14x-10$

b)

$-8x+2$

c)

$2x+2$

d)

$2x-2$

110.

If $g\left(x\right)=x^2+6$ and $f\left(x\right)=2x-4$ , find $f\left(g\left(x\right)\right)$

a)

$2x^2-12x-4$

b)

$2x^2+12x-4$

c)

$2x^2+8$

d)

$x^3-2x^2+1$

111.

a)

7

b)

6

c)

11

d)

None of the Above

112.

$g\left(f\left(2\right)\right)$

a)

5

b)

3

c)

-1

d)

2

113.

If $f\left(x\right)=2x+3$ and $g\left(x\right)=-3x-4$ , find $f\left(x\right)\cdot g\left(x\right)$

a)

$-6x^2-17x-12$

b)

$6x^2+x-12$

c)

$-x-1$

d)

$5x+7$

114.

$If\ f\left(x\right)=x^2+3x+2\ \ and\ \ g\left(x\right)=-3x+1$
Find $\left(f+g\right)\left(-2\right)$

a)

-3

b)

3

c)

-7

d)

7

115.

$If\ f\left(x\right)=x^2+3x+2\ \ and\ \ g\left(x\right)=-3x+1$
Find $\left(f\cdot g\right)\left(1\right)$

a)

-2

b)

2

c)

-12

d)

12

116.

$If\ f\left(x\right)=x^2+3x+2\ \ and\ \ g\left(x\right)=-3x+1$
$Find\ \left(\frac{f}{g}\right)\left(0\right)$

a)

-2

b)

-1

c)

0

d)

2

117.

$If\ f\left(x\right)=3x^2-2x+1\$

Find\ f\left(4\right)+f\left(-2\right)

a)

-52

b)

-7

c)

58

d)

63

118.

$If\ f\left(x\right)=2x+1\ \ and\ \ g\left(x\right)=3x+2$

Find\ \left(f\circ g\right)\left(x\right)

a)

f(g(x)) = 6x + 4

b)

f(g(x)) = 6x + 5

c)

f(g(x)) = 5x + 8

d)

f(g(x)) = 5x + 5

119.

$If\ f\left(x\right)=x^2-5\ \ and\ \ g\left(x\right)=2x-3$

Find\ \left(g\circ f\right)\left(2\right)

a)

-5

b)

-3

c)

0

d)

2

120.

$If\ f\left(x\right)=2x^2+3\ \ and\ \ g\left(x\right)=2x-1$
$Find\ \left(g\circ f\right)\left(2\right)$

a)

$g\left(f\left(2\right)\right)=-5$

b)

$g\left(f\left(2\right)\right)=0$

c)

$g\left(f\left(2\right)\right)=20$

d)

$g\left(f\left(2\right)\right)=21$

121.

$If\ f\left(x\right)=2x^2+3\ \ and\ \ g\left(x\right)=2x-1$

Find\ \left(f\circ g\right)\left(-3\right)

a)

$f\left(g\left(-3\right)\right)=83$

b)

$f\left(g\left(-3\right)\right)=89$

c)

$f\left(g\left(-3\right)\right)=99$

d)

$f\left(g\left(-3\right)\right)=101$

122.

Are the relations inverses?

a)

yes

b)

no

123.

Are the relations inverses?

a)

yes

b)

no

124.

Are the relations inverses?

a)

yes

b)

no

125.

Are the graphs inverses?

a)

yes

b)

no

126.

Are the graphs inverses?

a)

yes

b)

no

127.

Are the graphs inverses?

a)

yes

b)

no

128.

Are the graphs inverses?

a)

yes

b)

no

129.

Which of the following points are part of the inverse? Select ALL that apply!

a)

(2,3)

b)

(1,4)

c)

(-8,0)

d)

(-2,5)

e)

(4,-1)

130.

What is the DOMAIN of the INVERSE function?

a)

{-7, -2, -1, 1, 4}

b)

{-6, -3, -2, 0, 3}

c)

{-3, 0, 2, 3, 6}

d)

{-4, -1, 1, 2, 7}

131.

What is the RANGE of the INVERSE function?

a)

{-5, 1, 3, 4}

b)

{-4, -3, -1, 5}

c)

{-4, -2, 0, 7}

d)

{-7, 0, 2, 4}

132.

TRUE OR FALSE:

If the DOMAIN of a function is (-∞, 2], then the DOMAIN of the INVERSE function will also be (-∞, 2].

a)

false

b)

true

133.

TRUE OR FALSE:

If the RANGE of a function is (4, 2], then the DOMAIN of the INVERSE function will also be (4, 2].

a)

false

b)

true

134.

Here is the domain and range for a function:

D: (-∞, ∞)

R: [3, ∞)

What is the domain and range of the inverse?

a)

D: [3, ∞)

R: (-∞, ∞)

b)

D: (-∞, ∞)

R: [3, ∞)

135.

What is the inverse quadratic function?

a)

f^-1(x) = x²

b)

f^-1(x) = ±√x

c)

f^-1(x) = -x²

d)

It doesn't have an inverse.

136.

How do you find an inverse?

a)

Switch x and y

b)

Flip the signs on all the x-values

c)

Flip the signs on all the y-values

d)

Do nothing

137.

Find the inverse of $f\left(x\right)=\frac{1}{4}x-7$

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x+28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x+28

138.

$f\left(x\right)=\frac{x-2}{6}$
Find $f^{-1}\left(x\right)$

a)

$\frac{x-6}{2}$

b)

$6x+2$

c)

$2x+6$

d)

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

139.

Find the inverse of $f(x)=10+7x$

a)

$f^{-1}(x)=\frac{x-7}{10}$

b)

$f^{-1}(x)=\frac{x-10}{7}$

c)

$f^{-1}(x)=\frac{1}{10+7x}$

140.

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

141.

What does it mean to find the inverse of a function?

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

142.

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

143.

Find the inverse of f(x) = x² - 5

a)

f^-1(x) = √(x) + 5

b)

f^-1(x) = ∛(x-5)

c)

f^-1(x) =√(x+5)

d)

f^-1(x) = x² - 5

144.

Find the inverse
f(x)= (x-2)⁵+3

a)

⁵√(x-3) +2

b)

-2+x⁵

c)

(x+1)⁵+3

d)

⁵√(x+2)-3

145.

Which is f^-1(x)?

a)

f^-1(x)=3∛(x-6)

b)

f^-1(x)=-6+3∛x

c)

f^-1(x)=∛(3x-18)

d)

f^-1(x)=3(x-6)³

146.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

147.

Which is the inverse of the table?

a)

b)

c)

d)

148.

Will the inverse of this function, be a function?

a)

No

b)

Yes

c)

No way to tell

149.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

150.

Determine f^-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

a)

1

b)

-1

c)

2

d)

-2

151.

TRUE or FALSE
If f is an invertible function and f(a) = b, then f^-1(b) = a.

a)

TRUE

b)

FALSE

152.

Are the blue and red graphs inverse functions?

a)

yes

b)

no

c)

no way to tell

153.

Find Inverse Function

$y=2\left(3x-5\right)$

a)

$y=-x+\frac{5}{3}$

b)

$y=\frac{1}{6}x-\frac{5}{3}$

c)

$y=\frac{1}{6}x+\frac{5}{3}$

d)

$y=-\frac{3}{5}x+6$

154.

Find Inverse Function

$y=\frac{1}{2}x^2+1$

a)

$y=\sqrt{2x+2}$

b)

$y=\pm\sqrt{2x-2}$

c)

$y=\pm\sqrt{2x-1}$

d)

$y=\pm\sqrt{x-2}$

155.

Solve for x.

a)

-13

b)

4

c)

19

d)

Extraneous root

156.

Solve.

a)

no solution

b)

6

c)

3

d)

4

157.

Solve

a)

2

b)

-27/7

c)

-32/7

d)

27/7

158.

Describe the transformation.

a)

Vertical Stretch by 2

b)

Vertical Shrink by ⅓

c)

Horizontal Shrink by ⅓

d)

Horizontal Stretch by 3

159.

Describe the transformation

a)

Left 4 units, up 1 unit

b)

Right 4 units, up 1 unit

c)

Left 4 units, down 1 unit

d)

Right 4 units, down 1 unit

160.

Which is the graph of f(x) = √x +3

a)

A

b)

B

c)

C

d)

D

161.

Identify the Range

a)

y ≤ 6

b)

All Real Numbers

c)

x ≥ 6

d)

y ≤ 3

162.

What is the domain of the graph of the radical function?

a)

(-infinity, infinity)

b)

(-7, infinity)

c)

(0, infinity)

d)

(4, infinity)

163.

Which of these equations shifts a radical equation right 1 time and up 2 times?

a)

y = √(x + 1) - 2

b)

y = √(x - 1) + 2

c)

y = √(x - 2) + 1

d)

y = √(x + 2) - 1

164.

Match the correct equation with the given graph.

a)

y = √(x) + 2

b)

y = √(x) - 2

c)

y = √(x + 2)

d)

y = √(x - 2)

165.

Match the correct equation with the given graph.

a)

y = √(x - 3)

b)

y = √(x) + 3

c)

y = √(x + 3)

d)

y = √(x) - 3

166.

Solve the following

\sqrt{x+5}=12

a)

There is one solution.

b)

There are two solutions.

c)

There are no solutions.

167.

$\sqrt{4x-24}=x-6$

a)

Two solutions

b)

One solution

c)

No solution

168.

What function best describes this graph?

a)

f(x)= -√(x+4) -2

b)

f(x)= √(x-4) -2

c)

f(x)= -√(x-4) -2

d)

f(x)= √(x+4) +2

169.

Match the correct equation with the given graph.

a)

y = √(x - 3)

b)

y = √(x) + 3

c)

y = √(x + 3)

d)

y = √(x) - 3

170.

Solve and check your solution(s).

a)

x = -2

b)

x = -2, 3

c)

x = -2, -3

d)

x = -3

171.

What number represents the h in this cubic function?

$y\ =\ 4\sqrt[3]{x+2}-8$

a)

4

b)

3

c)

2

d)

-8

172.

Which number represents the "a" in this cubic function?

$y\ =2\ \sqrt[3]{x\ -2}+5$

a)

2

b)

-2

c)

3

d)

5

173.

How to you think the graph compares to the parent function?

a)

Right 5, Down 2

b)

Left 5, Down 2

c)

Right 2, Up 5

d)

Left 2, Up 5

174.

What is the cubic function of this graph?

a)

$y\ =\ 3\sqrt[3]{x+2}-1$

b)

$y\ =\ \sqrt[3]{x+2}-1$

c)

$y\ =\ \sqrt[3]{x-2}+1$

d)

$\ y\ =\ 3\sqrt[3]{x-2}+1$

175.

Which is the cubic function of the graph?

a)

$y\ =\ 3\sqrt[3]{x-2}-2$

b)

$y\ =3\sqrt[3]{x+2}-2$

c)

$y\ =\ 3\sqrt[3]{x+2}+2$

d)

$y\ =\ \sqrt[3]{x+2}-2$

176.

What is the K-value of the function?

a)

5

b)

-5

c)

-1

d)

1

177.

What is the Domain of ALL Cube Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Cube Root Functions are different.

178.

What is the Range of ALL Cube Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Cube Root Functions are different.

179.

What is the Domain of ALL Square Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Square Root Functions are different.

180.

What is the Range of ALL Square Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Square Root Functions are different.

181.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

182.

What type of function is shown?

a)

cube root

b)

square root

c)

logarithm

d)

exponential

183.

What is the equation of the graph?

a)

y = √(x - 3)

b)

y = √(x) + 3

c)

y = √(x - 5) + 4

d)

y = √(x + 5) + 4

184.

What function best describes this graph?

a)

f(x)= -√(x+4) -2

b)

f(x)= √(x-4) -2

c)

f(x)= -√(x-4) -2

d)

f(x)= √(x+4) +2

185.

Identify the Range

a)

(- ∞, -2 ]

b)

[ -2, ∞ )

c)

All Real Numbers

d)

[ 0, ∞)

186.

Describe the transformation
y = 2√x

a)

Vertical Compression by 2

b)

Vertical Expansion by 2

c)

Vertical Compression by 1/2

d)

Horizontal Expansion by 2

187.

Describe the transformation:
y = -√x

a)

Translate Down 1

b)

Translate Right 1

c)

Reflection over the x-axis

d)

Reflection over the y-axis

188.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

189.

Solve the equation.

a)

36

b)

18

c)

-18

d)

27

190.

Solve the Rational Exponent Equation:

a)

A

b)

B

c)

C

d)

D

191.

Solve. (3x - 5)^1/4+ 3 = 4

a)

4/3

b)

2

c)

-2

d)

-4/3

192.

Solve. (6x - 3)^2/3 + 6 = 15

a)

x = -5, x = 4

b)

x = 5

c)

x = 5, x = -4

d)

no solution

193.

Solve for x:

a)

3

b)

2

c)

1

d)

0

194.

Solve for x:

a)

6

b)

7

c)

8

d)

9

195.

Solve for x:

a)

2

b)

63

c)

65

d)

no solution

196.

Solve for x:
(x + 2)^1/2 - 5 = -2

a)

1

b)

5

c)

7

d)

9

197.

Solve for x:
(2x - 1)^3/4 + 9 = 36

a)

27

b)

13

c)

41

d)

82

198.

Solve for x:
7 + x^3/2 = 71

a)

2

b)

4

c)

16

d)

8

199.

What is y when x equals 19?

a)

-13

b)

-2

c)

3

d)

9

Chapter 8 Review

Total questions: 199

Worksheet time: 13hrs 47mins

Similar Resources on Wayground