WorksheetsSolving Absolute Value Equations
Total questions: 25
Worksheet time: 45mins
Name
Class
Date
1.
| 6m| +2 =20
a)
-3
b)
4
c)
-4
d)
3
2.
|x-3|=11
a)
x=12, x=-2
b)
x=10, x=-4
c)
x=14, x=-8
d)
x=15, x=-5
3.
2|3x+1|-2=10
a)
x=1, x=-
b)
x=-1
c)
x=2
d)
x=0
4.
|p-10|<18
a)
(-8, 28)
b)
(-5, 15)
c)
(0, 20)
d)
(-10, 10)
5.
a)
n > 1 or n < -7
b)
n > -1 or n < -7
c)
-7 < n < -1
d)
no solution
6.
What is the equation of the absolute value function?
a)
f(x)= |x+4|
b)
f(x)= |x-4|
c)
f(x)= |x| + 4
d)
f(x)= |x| - 4
7.
a)
v>5 or v<-5
b)
v≥5 or v≤-5
c)
v>-5 or v<5
d)
all real numbers
8.
a)
3
b)
0
c)
-3
d)
-5
9.
a)
all real numbers
b)
no solution
c)
0 < v < 6⁄7
d)
0 ≤ v ≤ 6/7
10.
After you split into two inequalities, what would they look like?
a)
x + 7 > 1
x + 7 > -1
x + 7 > -1
b)
x + 7 > 1
c)
x + 7 > 1
X + 7 < -1
X + 7 < -1
11.
What is the first step?
a)
Get the absolute value alone by dividing both sides by 5
b)
Drop the absolute value bars and add 7 and 5 together
c)
Get the absolute value alone by subtracting 5 from both sides
12.
Solve for x.
a)
x ≥ -13 and x ≤ -3
b)
x > -13 and x < -3
c)
x ≥ -13 or x ≤ -3
d)
x > -13 or x < -3
13.
Solve for v.
a)
v ≥ -6 and v ≤ -4
b)
v > -6 and v < -4
c)
v ≥ -6 or v ≤ -4
d)
v > -6 or v < -4
14.
a)
Infinite solutions
b)
- 2 ≤ x ≤ - 7
c)
No Solution
d)
-7/3 ≤ x ≤ -3/7
15.
a)
- 7 < y < 3
b)
- 8 < y < 4
c)
- 7 < y < - 3
d)
- 8 < y < - 4
16.
a)
- 4 ≤ x ≤ 6
b)
x ≥ - 4 or x ≤ 6
c)
x ≥ 4 or x ≤ - 6
d)
- 4 ≤ x ≤ - 6
17.
|45 − 26| − |−10|
a)
9
b)
-9
c)
29
d)
-29
18.
Solve for x.
a)
x ≥ -3.33 and x ≤ 2
b)
x > -3.33 and x < 2
c)
x ≥ -3.33 or x ≤ 2
d)
x > -3.33 or x < 2
19.
|-11| -|- 8| + |−16|
a)
19
b)
-19
c)
13
d)
-13
20.
a)
x > 11 or x < 5
b)
x > - 11 or x > 5
c)
5 < x < 11
d)
- 5 < x < 11
21.
a)
no solution
b)
all real numbers
c)
-2 ≤ n ≤ 16
d)
n ≤ -2 or n ≥ 16
22.
a)
no solution
b)
-6 ≤ r ≥ 8
c)
6 > r > -8
d)
-6 < r < 8
23.
a)
-3
b)
9
c)
3
d)
-9
24.
Write the inequality statement.
a)
x > -14 and x < 4
b)
x > -14 or x < 4
c)
x ≥ -14 and x ≤ 4
d)
x ≥ -14 or x ≤ 4
25.
Write the inequality statement.
a)
x ≤ -3 or x > 2
b)
x ≤ -3 and x > 2
c)
x < -3 or x ≥ 2
d)
x < -3 and x ≥ 2
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