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Grade 9
Patterns & Relations
8. Model and solve problems using linear equations
8.2 Solving two-step linear equations: ax + b = c, x/a + b = c
Mastering Two-Step Linear Equations: Your Guide to Solving ax + b = c
Unlock the secrets of two-step linear equations and boost your algebra prowess. Learn efficient techniques to solve ax + b = c with confidence, preparing you for advanced math concepts.
What You'll Learn
Isolate variables in two-step equations using inverse operations
Apply addition, subtraction, multiplication, and division to solve for x
Solve equations with fractions by finding common denominators
Use cross-multiplication when equations involve fractions on both sides
Verify solutions by substituting back into the original equation
What You'll Practice
1
Solving equations of the form ax + b = c with integers and decimals
2
Working with fractional equations requiring common denominators
3
Cross-multiplying to solve equations with variables in denominators
4
Applying two-step solving to word problems involving revenue and area
Why This Matters
Two-step equations are essential for solving real-world problems involving money, measurements, and optimization. You'll use these skills throughout algebra, in science formulas, and whenever you need to work backward from a result to find an unknown value.
This Unit Includes
12 Video lessons
Practice exercises
Learning resources
Skills
Two-Step Equations
Inverse Operations
Fractions
Cross-Multiplication
Common Denominators
Algebraic Manipulation
Word Problems
NB Curriculum Aligned