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Solving absolute value/radical equations review

Total questions: 21

Worksheet time: 2hrs 45mins

Name
Class
Date
1.
Solve for x
l 2x−1 l +4 = 8 
a)
x = 2.5 and x = -1.5
b)
x = 2 and x = -1
c)
x = -2 and x = 9
d)
No Solution
2.
a)
x = 2
b)
x = 4
c)
x = 7
d)
x = 9
3.
Solve.
a)
no solution
b)

a=6

c)

a=3

d)

a=4

4.
Solve for x
3 l 4w−1 l −5 = 10
a)
x = 1.5 and x =-1
b)
x = -1.5 and x = 1
c)
x =1 and x = -1
d)
No Solution
5.
Solve for x
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
6.
a)
x = -6
b)
x = 3
c)
x = -3
d)
x = 5±
7.

Solve

a)

x = -5

b)

x = 1/5

c)

No Solution

d)

x = -1

8.
a)

r = 11

b)

r = -45

c)

r = 29

d)

No Solution

9.

Solve

a)

v = -14

b)

v = 14

c)

No Solution

d)

v = 28

10.
a)
x = 5
b)
x = -6
c)
x = 14
d)
x = -1
11.

Evaluate each expression.

| x + 9 | = -5

a)

x = -14

b)

x = -4

c)

x = -14 and x = -4}

d)

no solution

12.

Solve the following equation:


3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

13.

Solve this equation

a)

x = 0

b)

x = 5

c)

x = -3

d)

x = 6

14.
a)

No Solution

b)

a = 14

c)

a = 28

d)

a = -1

15.
a)

No solution

b)

n = -153

c)

n = 153

d)

n = 58

16.

Solve the following equation:


|−2n| + 10 = −50

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

17.
a)

n = 2, -4

b)

No Solution

c)

n = -2

d)

n = -3, 1/2

18.
a)

m = 4, -16/3

b)

m = -4, 16

c)

No Solution

d)

m = 28, -12

19.
a)

No Solution

b)

b = 3, -3

c)

b = 12, 19

d)

b = -7/8, 11/8

20.
a)

x = 7/4

b)

x = -43

c)

x = 0

d)

No Solution

21.
a)

x = 0

b)

x = -15

c)

No solution

d)

x = -1