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Review of Roots and Radical Expressions

Total questions: 17

Worksheet time: 17mins

Name
Class
Date
1.

Simplify. Use absolute value bars if necessary.

a)

x / 3

b)

|x| / 9

c)

|x| / 3

d)

x / 9

2.

Find the two real solutions.

a)

4/7

b)

1/2 and -1/2

c)

-4/7

d)

4/7 and -4/7

3.

Simplify. Use absolute value bars when necessary.

a)

11|y5|

b)

121|y5|

c)

11y5

d)

11y10

4.

Simplify. Use absolute value bars only if necessary.

a)

5|x3|

b)

125x3

c)

5x3

d)

25x3

5.
a)

4

b)

-4

c)

8

d)

no real cube root

6.
a)

2/3

b)

-2/3

c)

-4/9

d)

no real fourth root

7.

Find all real solutions.

a)

-9, 9

b)

3

c)

-3, 3

d)

-3

8.

Simplify. Use absolute value bars if necessary

a)

2xy2

b)

2|x|y2

c)

4xy2

d)

2|xy|

9.

Simplify. Use absolute value symbols when necessary.

a)

4x2

b)

4x

c)

2x

d)

4|x|

10.

Simplify. Use absolute value symbols when necessary.

a)

9y2

b)

3y2

c)

3y3

d)

3y

11.

Simplify. Use absolute value bars where necessary.

a)

|x5|y7

b)

|x5y7|

c)

x5y7

d)

x5|y7|

12.

Find all the real fourth roots of 16.

a)

2, -2

b)

4, -4

c)

2

d)

-2

13.

Find all the real square roots of -1/121.

a)

1/11 and -1/11

b)

1/11

c)

none

d)

-1/11

14.
a)

3/5

b)

none

c)

3/5 and -3/5

d)

-3/5

15.
a)

2/3 and -2/3

b)

none

c)

2/3

d)

4/9

16.

Simplify. Use absolute value bars if necessary.

a)

5(x+2)

b)

25(x+2)2

c)

5(x+2)2

d)

(x+2)2

17.
a)

(m-n)2

b)

m-n

c)

(m-n)4

d)

|m-n|