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7th Grade Math
9. MA.7.AR.2.2
9.2 Solving two-step linear equations using addition and subtraction: ax + b = c
Solving Two-Step Linear Equations: ax + b = c
Learn the two steps for solving equations like ax + b = c, starting with addition or subtraction, through examples and a graph.
What You'll Learn
A two-step equation like ax + b = c needs two inverse operations to isolate the variable
Always undo addition or subtraction first, then undo multiplication or division
Whatever you do to one side of the equation, you must do to the other side to keep it balanced
Checking a solution by substituting it back into the original equation catches most mistakes
This method is the foundation for later topics like equations with variables on both sides and the distributive property
What You'll Practice
1
Solving equations visually using balance tiles before writing algebraic steps
2
Isolating variables by undoing addition and subtraction first, then multiplication and division
3
Working with equations where the variable appears on either side of the equal sign
4
Solving real-world word problems involving discounts, fees, and total costs
Why This Matters
Mastering two-step linear equations builds your foundation for all future algebra. You'll use this skill to solve real-world problems like calculating costs, discounts, and budgets, and it's essential for tackling more complex equations in higher-level math courses.
Before You Start — Make Sure You Can:
This Unit Includes
9 Video lessons
Practice exercises
Learning resources
Skills
Linear Equations
Inverse Operations
Variable Isolation
Balance Models
Order of Operations
Word Problems
Two-Step Equations
FL Curriculum Aligned