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Worksheets

Absolute Value Equations and Solutions

Total questions: 27

Worksheet time: 2hrs 39mins

Name
Class
Date
1.

How many solutions does the equation have?

|c - 7| = 2

a)

no solution

b)

one solution

c)

two solutions

2.

How many solutions does the equation have?

4|m| = -20

a)

no solution

b)

one solution

c)

two solutions

3.
Solve for x
l 4x−3 l = 17
a)
x = 5 and x =-3.5
b)
x = 0 and x = -5
c)
x = 10 and x = -10
d)
No Solution
4.
Solve.
|−4 + 5x| = 16
a)
x = 16/5
x = 12/5
b)
x = 4
x = -5
c)
x = -12/5
x = 4
d)
x = 4
5.
Solve
|x – 12| - 3 = 11.
a)
x = -2
x = -26
b)
x = -2
x = 26
c)
x = 3
x = 25
d)
x = 4
x =  -7
6.
Solve.
2|x + 1| - 5 = 5
a)
x = 4
 x = 6
b)
x = -4
 x = 6
c)
x = -6
x = 4
d)
no solution
7.

Solve the following equation:

8+3 8x=808+3\ \left|-8x\right|=80  

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

8.

−2|−2r − 4| = -12

a)

x = 5 and x = 1

b)

x = -5 and x = -1

c)

x = -5 and x = 1

d)

No Solution

9.

Solve for n:

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

10.

3x12=10\frac{\left|3x-1\right|}{2}=10  

a)

x=7, 19/3

b)

x=-7, 19/3

c)

x=7, -19/3

d)

x=7 

11.
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
12.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
13.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
14.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
15.
pV = nRT
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
16.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
17.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
18.
Solve the equation for y. 
2x + 3y = 4
a)
y = (4-2x)/3
b)
y = (2x-4)/3
c)
x  = (4-3y)/2
d)
y = (4-2x)/ -3
19.
ax + c = R
(solve for x) 
a)
ax = R + c
b)
ax = R - c
c)
x = a(R-c)
d)
x = (R-c) / a 
20.

Solve for p
A = 12paA\ =\ \frac{1}{2}pa

a)

A12a = pA-\frac{1}{2}a\ =\ p

b)

2Aa=p\frac{2A}{a}=p

c)

A2a=p\frac{A}{2a}=p

d)

2Aa = p2A-a\ =\ p

21.

Solve for d
C = πdC\ =\ \pi d

a)

C  π=dC\ -\ \pi=d

b)

C + π=dC\ +\ \pi=d

c)

πC=d\pi C=d

d)

Cπ=d\frac{C}{\pi}=d

22.
a)

A

b)

B

c)

C

d)

D

e)

E

23.
a)

A

b)

B

c)

C

d)

D

e)

E

24.
a)

A

b)

B

c)

C

d)

D

e)

E

25.
a)

A

b)

B

c)

C

d)

D

e)

E

26.
a)

A

b)

B

c)

C

d)

D

e)

E

27.
a)

A

b)

B

c)

C

d)

D

e)

E