Multi-Step Equations

Learn and apply multi-step equations using equations, examples, and interpretation.

Lesson 2 of 53 parts Practice Flashcards

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Distribution Before Solving

Objective: Explain and use distribution before solving in an Algebra 1 problem.

Multiplying across parentheses gives a(b+x)=ab+ax, making the variable terms visible for combination. The variable terms become visible.

Worked examples

Try itExample 1.1: Solve 2(x+15)=40.Show answer

5. Divide both sides by 2, then subtract 15. The answer is 5.

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Distribution Before Solving

Objective: Explain and use distribution before solving in an Algebra 1 problem.

Multiplying across parentheses gives a(b+x)=ab+ax, making the variable terms visible for combination. The variable terms become visible.

Worked examples

Try itExample 1.1: Solve 2(x+15)=40.Show answer

5. Divide both sides by 2, then subtract 15. The answer is 5.

Combining Like Terms

Objective: Explain and use combining like terms in an Algebra 1 problem.

Terms with identical variable factors can be combined by adding or subtracting coefficients without changing the equation. Terms with different variable powers.

Worked examples

Try itExample 2.1: Solve 3(x+25)=99.Show answer

8. Divide both sides by 3, then subtract 25. The answer is 8.

Checking Multi-Step Solutions

Objective: Explain and use checking multi-step solutions in an Algebra 1 problem.

Every proposed solution should be substituted into the original equation, particularly after parentheses and negatives are handled. An earlier sign or distribution error may have changed the work.

Worked examples

Try itExample 3.1: Solve 4(x+35)=184.Show answer

11. Divide both sides by 4, then subtract 35. The answer is 11.

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