Problem 1 Solving an Absolute Value Equation

What is the solution of | 2 x − 1 | = 5 ? vertical line 2 x minus 1 vertical line equals 5 question mark  Graph the solution.

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| 2 ( 3 ) − 1 | = ? 5   | 2 ( − 2 ) − 1 | = ? 5   | 6 − 1 | = ? 5   | − 4 − 1 | = ? 5   | 5 | = 5 ✓ | − 5 | = 5 ✓ table with 3 rows and 4 columns , row1 column 1 , vertical line 2 open 3 close minus 1 vertical line , modified equals with question mark above , 5 , column 2 , column 3 vertical line 2 open negative 2 close minus 1 vertical line , modified equals with question mark above , 5 , column 4 , row2 column 1 , vertical line 6 minus 1 vertical line , modified equals with question mark above , 5 , column 2 , column 3 vertical line negative 4 minus 1 vertical line , modified equals with question mark above , 5 , column 4 , row3 column 1 , vertical line 5 vertical line equals 5 , column 2 check mark , column 3 vertical line negative 5 vertical line equals 5 , column 4 check mark , end table

✓ Got It?

1. What is the solution of |3x + 2| = 4? Graph the solution.

Problem 2 Solving a Multi-Step Absolute Value Equation

What is the solution of 3 | x + 2 | − 1 = 8 ? 3 vertical line x plus 2 vertical line negative 1 equals 8 question mark  Graph the solution.

✓ Got It?

2. What is the solution of 2|x + 9| + 3 = 7? Graph the solution.