Manitoba
1. Demonstrate an understanding of the absolute value of real numbers
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Overview
Solving absolute value equations
What You'll Learn
Convert absolute value expressions into piecewise functions with positive and negative cases
Identify critical points where absolute value functions change behavior by setting expressions equal to zero
Apply test values to determine which piece of the piecewise function applies in each region
Solve linear and quadratic equations resulting from removing absolute value notation
Verify solutions by checking if they fall within the appropriate regions on the number line
What You'll Practice
1
Solving equations with one absolute value expression equal to a linear function
2
Working with equations containing two different absolute value functions
3
Solving absolute value equations involving quadratic expressions
4
Checking solutions against regional constraints and rejecting invalid answers
Why This Matters
Solving absolute value equations builds your algebraic problem-solving skills and teaches you to handle piecewise scenarios that appear throughout higher math. You'll use these techniques in calculus, physics, and engineering courses where understanding behavior in different regions is critical.
Before You Start — Make Sure You Can:
This Unit Includes
5 Video lessons
Practice exercises
Learning resources
Skills
Absolute Value
Piecewise Functions
Equation Solving
Number Line Analysis
Test Values
Quadratic Equations
Solution Verification
MB Curriculum Aligned