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WorksheetsAbsolute 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
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
|−4 + 5x| = 16
a)
x = 16/5
x = 12/5
x = 12/5
b)
x = 4
x = -5
x = -5
c)
x = -12/5
x = 4
x = 4
d)
x = 4
5.
Solve
|x – 12| - 3 = 11.
|x – 12| - 3 = 11.
a)
x = -2
x = -26
x = -26
b)
x = -2
x = 26
x = 26
c)
x = 3
x = 25
x = 25
d)
x = 4
x = -7
x = -7
6.
Solve.
2|x + 1| - 5 = 5
2|x + 1| - 5 = 5
a)
x = 4
x = 6
x = 6
b)
x = -4
x = 6
x = 6
c)
x = -6
x = 4
x = 4
d)
no solution
7.
Solve the following equation:
8+3 ∣−8x∣=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.
2∣3x−1∣=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
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
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
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)
(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 = 21pa
a)
A−21a = p
b)
a2A=p
c)
2aA=p
d)
2A−a = p
21.
Solve for d
C = πd
a)
C − π=d
b)
C + π=d
c)
πC=d
d)
πC=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
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