Solving Multi-Step Equations | Two Operations

Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 1

Question

Question:
Solve each equation and check your solutions. Part a: 3x plus 7 equals 28. Part b: 4y minus 11 equals 13. Part c: negative 2z plus 5 equals negative 9.

Solving Multi-Step Equations | Two Operations

This lesson covers solving two-step linear equations of the form ax + b = c by applying inverse operations in reverse order. Students practice subtracting or adding a constant first, then dividing by the coefficient, and verify each solution by substitution.

In this lesson, you will learn to:
• Apply inverse operations in reverse order to isolate a variable in a two-step equation
• Solve two-step linear equations involving positive and negative coefficients
• Verify solutions by substituting back into the original equation
• Recognize the general solution pattern x = (c − b) / a for equations of the form ax + b = c

Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 1
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