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Name: _______________________________________________
Algebra 1
Finding Absolute Value – Solving Absolute Value Equations
The absolute value of a number is its ___________________________________________________________.
1. Simplify each expression below.
|3|
|-6|
|25 – 12|
2. Given f(x) below, find f(12).
f(x) = 5|x – 14| + 2
|-2 – 11|
3. Is 7 a solution for the equation below?
3|x – 10| – 15 = -6
Steps for solving absolute value equations:
Step 1:
Isolate the absolute value bars
Step 2:
If the absolute value bars = positive, then write two equations.
***If the absolute value bars = negative, then no solution.
Step 3:
Solve each equation.
2|x – 4| + 5 = 9
4. Solve each equation below.
|x| = 8
8|x + 12| = 42
|x – 19| = -23
4|2m – 3| + 2 = 26
5. Solve each equation below.
|5n| = 30
|𝑥−4|
2
= 10
|x| + 8 = 14
3
|4x – 6| – 5 = 3
6. Solve each equation below.
10|x| – 5 = 95
7|-3x + 9| + 34 = 17
|4x – 3| = 9
-3|5x + 15| – 5 = -35
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