Algebra 1 : How to solve absolute value equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #911 : Algebra 1

Solve for x:

Possible Answers:

Correct answer:

Explanation:

Subtract 1 from both sides:

Remove absolute Value Signs. 

Solve for both solutions of x:

AND

Example Question #82 : How To Solve Absolute Value Equations

Possible Answers:

Correct answer:

Explanation:

Removing the absolute value signs we get the four equations:

Since 1&4 are identical and 2&3 are identical, we only need to solve for (1) and (2) to get the complete answer:

Equation 1 solution

Equation 2 Solution

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