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ASVAB Test Prep
12. Solving Linear Equations
12.1 Solving linear equations using multiplication and division
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
1
Solving equations by dividing both sides to remove coefficients
2
Solving equations by multiplying both sides to eliminate denominators
3
Cross-multiplying to solve fractional equations
4
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:
This Unit Includes
9 Video lessons
Practice exercises
Skills
Linear Equations
Inverse Operations
Multiplication
Division
Cross-Multiplication
Fractions
Decimals
Variable Isolation
