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review Abs value equ

Total questions: 15

Worksheet time: 43mins

Name
Class
Date
1.

Solve. Select BOTH solutions.

∣x−1∣=3\left|x-1\right|=3  

a)

-2

b)

2

c)

4

d)

-3

2.

Solve. Select BOTH solutions.

∣x5∣=3\left|\frac{x}{5}\right|=3  

a)

8

b)

-8

c)

15

d)

-15

3.

Solve. Select BOTH solutions.
∣1−9x∣=80\left|1-9x\right|=80

a)

−799-\frac{79}{9}  

b)

1010  

c)

−9-9  

d)

99  

4.

Solve. Select BOTH solutions.
∣10x−8∣=38\left|10x-8\right|=38  

a)

33  

b)

−3-3  

c)

235\frac{23}{5}  

d)

195\frac{19}{5}  

5.

Solve. Select BOTH solutions.
∣−4+x∣=10\left|-4+x\right|=10  

a)

66  

b)

1414  

c)

52\frac{5}{2}  

d)

−6-6  

6.

Solve. Select BOTH solutions.
∣9x+1∣=73\left|9x+1\right|=73

a)

−749-\frac{74}{9}  

b)

−8-8  

c)

88  

d)

6363  

7.

Solve. Select BOTH solutions.
∣3x∣+2=8\left|3x\right|+2=8  

a)

103\frac{10}{3}  

b)

22  

c)

−2-2  

d)

−43-\frac{4}{3}  

8.

Solve. Select BOTH solutions.
∣−1+x∣5=1\frac{\left|-1+x\right|}{5}=1  

a)

−4-4  

b)

77  

c)

−5-5  

d)

66  

9.

Solve. Select BOTH solutions.
4∣10x∣−3=1174\left|10x\right|-3=117  

a)

5720\frac{57}{20}  

b)

1212  

c)

33  

d)

−3-3  

10.

Solve. Select BOTH solutions.
5∣7+x∣+2=175\left|7+x\right|+2=17  

a)

−10-10  

b)

33  

c)

44  

d)

−4-4  

11.
Solve for x
l x−6 l + 4= 10
a)
x = 12 and x = 0
b)
x = 3 and x = -3
c)
x = -12 and x = 0
d)
No Solution
12.
Evaluate each expression.
| x + 9 | = -5
a)
-14
b)
-4
c)
{-14, -4}
d)
no solution
13.

Solve the following equation:


|−2n| + 10 = −50

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

14.
| 3x - 6 | - 9 = -3
a)
No Solution
b)
x = 0 and x = 4
c)
x = 2 and x = -2
d)
x = -4 and x = 4
15.

Solve the following equation:


3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution