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Grade 7 Math Lab: The Algebraic Pivot FREE
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Two-Step Equations
Learning Objectives
- Solve multi-step equations
- Use inverse operations in sequence
- Verify solutions
Key Concepts
Two-Step Equation
Requires two inverse operations to solve
Order of Undo
Undo addition/subtraction first, then multiplication/division
Theory
**Steps to solve ax + b = c:**
1. Undo addition/subtraction (move b)
2. Undo multiplication/division (divide by a)
**Example:** 3x + 5 = 20
1. 3x = 15 (subtract 5)
2. x = 5 (divide by 3)
**Always check:** 3(5) + 5 = 20 ✓
Examples
Solve: 2x - 7 = 11
Solution: 2x = 18 → x = 9