Free Printable Chapter 5 Review

1.

Simplify the radical expression:
$\sqrt{2x^2y^3}$

a)

$2y\sqrt{xy}$

b)

$2x\sqrt{y^2}$

c)

$y\sqrt{2xy}$

d)

$xy\sqrt{2y}$

2.

Simplify the radical expression:
$\sqrt{128a^3b^4}$

a)

$8ab^2\sqrt{2a}$

b)

$2a\sqrt{8ab^2}$

c)

$2ab\sqrt{64ab}$

d)

$64ab^2\sqrt{2a}$

3.

Simplify the radical:
$\sqrt{98}$

a)

$2\sqrt{7}$

b)

$7\sqrt{2}$

c)

$14\sqrt{2}$

d)

$49\sqrt{2}$

4.

Simplify the radical expression:
$\sqrt{27m^7p^{4\ }}$

a)

$3m\sqrt{3m^3p^2}$

b)

$3m^3p^2\sqrt{3m}$

c)

$9mp\sqrt{3m}$

d)

$9m^3p^2\sqrt{3m}$

5.

Simplify the radical expression:
$2\sqrt{56a^2b^2}$

a)

$4ab\sqrt{14}$

b)

$2ab\sqrt{14}$

c)

$14ab\sqrt{2ab}$

d)

$14\sqrt{2ab}$

6.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

7.

Simplify:

a)

2

b)

4

c)

16

d)

64

8.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

9.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

10.

a)

(5x)^-2/1

b)

(5x)^2/1

c)

(5x)^-1/2

d)

(5x)^1/2

11.

Write the expression in exponential form:
∛x²

a)

x^3/2

b)

x^2/3

c)

x^1/2

d)

x^1/3

12.

Write the expression in exponential form:
∜x⁵

a)

x^4/5

b)

x^5/4

c)

x⁵

d)

x^1/4

13.

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

14.

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

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch, and shifted right 5

c)

Reflected over the x-axis, vertical stretch, and shifted left 5

d)

Shifted right 5, shifted down 2

15.

What are the transformations to the graph compared to the parent function?

a)

Shifted right 2, shifted up 3, and reflected over the y-axis

b)

Shifted left 2, shifted up 3, and reflected over the y-axis

c)

Shifted left 2, shifted up 3, and reflected over the x-axis

d)

Shifted right 2, shifted up 3, and reflected over the x-axis

16.

a)

y ≤ 3

b)

x ≥ 2

c)

y ≥ 3

d)

x ≤ 2

17.

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

a)

(-infinity, infinity)

b)

(-7, infinity)

c)

(0, infinity)

d)

(4, infinity)

18.

Solve

a)

2

b)

-27/7

c)

-32/7

d)

27/7

19.

Solve.

a)

no solution

b)

6

c)

3

d)

4

20.

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).

a)

14x-10

b)

-8x+2

c)

2x+2

d)

2x-2

21.

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

22.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

23.

f(x)=x³-3x
g(x)=-4x+1
Find f(x)*g(x)

a)

-4x³-5x²-3

b)

-4x³+2x²-3x

c)

-4x⁴+x³+12x²-3x

d)

-4x^4-x³+12x²⁺3x

24.

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

25.

a)

7

b)

6

c)

11

d)

None of the Above

26.

f(x)=x²-4
h(x)=3x+3
f(h(x))

a)

3x²-9

b)

12x²+8x+5

c)

16x²-36x+20

d)

9x²+18x+5

27.

Which is f ^-1(x)?

a)

f^-1(x) = 5x + 3

b)

f^-1(x) = 5x - 3

c)

f^-1(x) = 5x - 15

d)

f^-1(x) = 1/5(x) + 3/5

28.

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

Chapter 5 Review

Total questions: 28

Worksheet time: 1hrs 24mins

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