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WorksheetsTuesday: Absolute Value Equations
Total questions: 29
Worksheet time: 57mins
Name
Class
Date
1.
|x| = 19
Least to greatest
Example:-18, 18
(a)
2.
|n| = 7
n=?
(a)
3.
|b| = 12
b=?
(a)
4.
|-20| = x
x=?
(a)
5.
|a| - 7 = 21
a=?
(a)
6.
-2 + |n| = 0
n=?
(a)
7.
5+ |x|- 9 = 2
x=?
(a)
8.
5|x| = 35
x=?
(a)
9.
2|x| + 6 = 12
x=?
(a)
10.
-4|x| +3 = -5
x=?
(a)
11.
-3|a| - 5 = −17
a=
(a)
12.
|y| = 9
y=
(a)
13.
|h| = 0
h=
(a)
14.
|x| = 15
x=
(a)
15.
|y| = 12 - 5
y=
(a)
16.
|3m| = 6
(a)
17.
|-m| = 5
(a)
18.
-2|a| + 5 = 1
(a)
19.
3|y| = 27
y=
(a)
20.
-2|b| + 4 = 2
(a)
21.
Solve for x
l x−6 l + 4= 10
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
22.
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
23.
|8 - 4x| = 16
a)
x = -2, x = -6
b)
x = 2 , x = 24
c)
x = -2, x = 6
d)
No Solution
24.
Solve |x – 12| - 3 = 11.
a)
-2, -26
b)
-2, 26
c)
3, 25
d)
4, -7
25.
Solve the following equation:
|−2n| + 10 = −50
a)
{30, −30}
b)
{20, −20}
c)
{−5, 5}
d)
No Solution
26.
8|-2x + 4| = 96
a)
x = -4, x = 8
b)
x = -4
c)
x = -4, x = -8
d)
x = 4, x = 8
27.
| 3n + 12 | = 2n
a)
No Solution
b)
n = -12 and n = -12/5
c)
n = -12
d)
n = -12/5
28.
| 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
29.
Solve for x
l 2x−1 l = 9
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
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