Solving linear equations using multiplication and division

What You'll Learn

Identify operations needed to isolate the variable in one-step equations

Apply the inverse operation to solve equations involving multiplication

Apply the inverse operation to solve equations involving division

Use cross-multiplication to solve equations with fractions on both sides

Verify solutions by substituting back into the original equation

What You'll Practice

Solving equations by dividing both sides to remove coefficients

Solving equations by multiplying both sides to eliminate denominators

Cross-multiplying to solve fractional equations

Working with decimal coefficients and mixed numbers in equations

Why This Matters

Solving linear equations using multiplication and division is essential for every branch of algebra and beyond. You'll use these techniques constantly in solving formulas, working with proportions, and tackling real-world problems like calculating discounts, converting units, and analyzing data.

Before You Start — Make Sure You Can:

Evaluating algebraic expressions Solving one - step equations: x + a = bModel and solve one-step linear equations: ax = b, x/a = b

This Unit Includes

9 Video lessons

Practice exercises

Skills

Linear Equations

Inverse Operations

Multiplication

Division

Cross-Multiplication

Fractions

Decimals

Variable Isolation