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WorksheetsEquations with Absolute Value
Total questions: 25
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
2.
Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6
-2, I8I, 5, I-10I, 6
a)
-2, I8I, 5, I-10I, 6
b)
-10, -2, 5, 6, 8
c)
-2, 5, 6, 8, 10
d)
I-10I, -2, 5, 6. I8I
3.
|x-3|=40
a)
x = 43, x = -37
b)
x = 43, x = -43
c)
x = -43, x = 37
d)
x = 43
4.
|x+7|=12
a)
x = -5, x = 19
b)
x = 5, x = -19
c)
x = 5, x = -5
d)
x = 12, x = -7
5.
|-2 - 4n| = 34
a)
n = -9, n = 8
b)
n = 9, n = 8
c)
n = -9
d)
n = 8
6.
|2a - 10| = 6
a)
a = 8, a = 5
b)
a = 2
c)
a = 8
d)
a = 8, a = 2
7.
8|-2x + 4| = 96
a)
x = -4, x = 8
b)
x = -4
c)
x = -4, x = -8
d)
x = 4, x = 8
8.
An absolute value equation is
a)
an equation that contains an absolute value expression
b)
always going to have two solutions
c)
always going to have one solution
d)
impossible to solve
9.
| 2x - 1 | = -4
a)
x = 1/2 and x = -4
b)
No Solution
c)
x = -3/2 and x = 5/2
d)
x = 3/2 and x = -5/2
10.
| 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
11.
| 3n + 12 | = 2n
a)
No Solution
b)
n = -12 and n = -12/5
c)
n = -12
d)
n = -12/5
12.
What are the two related linear equations for solving:
| x - 4 | = 8
| x - 4 | = 8
a)
x - 4 = 8 and x + 4 = 8
b)
x - 4 = 8 and x - 4 = -8
13.
An extraneous solution is
a)
not a concern when solving absolute value equations
b)
an apparent solution that must be rejected because it does not satisfy the original equation
14.
|6x-4| = 14
a)
x = 3, x = 10/6
b)
x = -3, x = -10/6
c)
x = -10/6, x = 3
d)
No Solution
15.
8 + 3|4x - 6| = 38
a)
x = 4
b)
x = -1, x = 4
c)
x = -1, x = 0
d)
x = -4, x = 0
16.
Solve for x: -4|x + 5| + 2 = -126
a)
x = 26 or x = -36
b)
x = 27 or x = -37
c)
x = 123 or x = -133
d)
No Solution
17.
| x – 3 |= 0
a)
3
b)
-3
c)
{-3, 3}
d)
no solution
18.
What is always your last step of solving equations with absolute values?
a)
Your last step depends on the equation.
b)
Solve for the unknown answer.
c)
Check your answer.
d)
Celebrate that you finished the problem!
19.
|3h + 2| = 14 - h
a)
h = 3, -8
b)
h = 3
c)
h = 3, 8
d)
no solution
20.
|d + 3| = 6 - 2d
a)
d = 1, 9
b)
d = -1
c)
d = 1
d)
no solution
21.
|6 - 2k| = 18
a)
k = -6
b)
k = -6, k = 12
c)
k = -6, k = -12
d)
k = -6, k = 5
22.
|-7n + 4| + 9 = 34
a)
n = -3
b)
n = 1, n = 8
c)
n = -3, n = 4
d)
n = -3, n = 29/7
23.
True or False: Is x = 4 a solution to |x + 5| = -9
a)
True
b)
False
24.
Solve and check for extraneous solutions. 2|x + 5| - 6 = 8
a)
No Solution
b)
x = 12 and x = -2
c)
x = -12 and x = 2
d)
x = -12
25.
Which values give an absolute value of: -4
a)
4
b)
-4
c)
0
d)
That's impossible, because absolute value is always positive.
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