Absolute Value Equations - Concept

Concept Concept (1)

Solving for a variable in absolute value equations follows different rules than when we solve multi-step equations. When solving absolute value equations, most of the time we get more than one possible solution. Using absolute value equations, we are able to solve more complex concepts such as absolute values with inequalities, and graphs of absolute value inequalities with two variables.

Sample Sample Problems (6)

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Absolute Value Equations - Problem 1

Solve for x.

3|x − 4| = 12
Problem 1
How to solve equations with absolute values when there are two solutions.
Absolute Value Equations - Problem 2

Solve for x.

-2|x − 3| + 3= -5
Problem 2
How to solve equations with absolute values when dividing by a negative number.
Absolute Value Equations - Problem 3

Solve for x.

|2x + 3| − 4 = -4
Problem 3
How to solve equations with absolute values when the absolute value equals zero.
Absolute Value Equations - Problem 4

Solve for x.

|2x + 1| + 10 = 3
Problem 4
How to solve equations with absolute values when the absolute value equals a negative number.
Absolute Value Equations - Problem 5
Problem 5
Solving absolute value equations by replacing the absolute value sign with +, - parentheses.
Absolute Value Equations - Problem 6
Problem 6
Solving absolute value equations by making the constant positive and negative.