Absolute Value Equations | Basic Cases
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 1
Question
Question:
Solve each equation and check both solutions in the original equation. Part a: the absolute value of x equals 11. Part b: the absolute value of the quantity m minus 4 equals 7. Part c: the absolute value of the quantity 3n plus 6 equals 15.
Absolute Value Equations | Basic Cases
This lesson covers how to solve absolute value equations by splitting them into two linear cases. Each part is solved step by step and both solutions are verified by substituting back into the original equation.
In this lesson, you will learn to:
• Apply the split-case property of absolute value to write two linear equations from one absolute value equation
• Solve two-step linear equations that arise from absolute value problems
• Check both solutions by substituting them back into the original absolute value equation
• Recognize that every absolute value equation of the form |expression| = a yields
Step-by-step video solution
This DoAssignment.ca lesson explains the problem with a narrated, step-by-step solution for students studying Algebra from Algebra 1 · Big Ideas Math · Ron Larson.
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