Solving Multi-Step Equations with the Distributive Property

Question:
Solve each equation and check your solution. Part a: 2 times the quantity 3x minus 4, equals 16. Part b: negative 3 times the quantity y plus 6, equals 9. Part c: 5 times the quantity 2w minus 1, plus 8, equals 33.

Solving Multi-Step Equations with the Distributive Property

This lesson teaches students how to solve multi-step linear equations that require applying the distributive property before isolating the variable. Three worked examples progress from basic distribution to combining like terms, and each solution is verified by substitution.

In this lesson, you will learn to:
• Apply the distributive property to expand expressions within equations
• Combine like terms on the same side of an equation
• Isolate the variable using inverse operations in the correct order
• Verify solutions by substituting back into the original equation

Course: Algebra 1 — Solving Multi-Step