One-Step and Two-Step Equations

Learn and apply one-step and two-step equations using equations, examples, and interpretation.

Lesson 1 of 53 parts Practice Flashcards

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Inverse Operations

Objective: Explain and use inverse operations in an Algebra 1 problem.

An inverse operation undoes an operation to isolate a variable while preserving equality on both sides. To keep the equation balanced.

Worked examples

Try itExample 1.1: Solve 4x+14=34.Show answer

5. Subtract 14 from both sides, then divide by 4. The answer is 5.

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Inverse Operations

Objective: Explain and use inverse operations in an Algebra 1 problem.

An inverse operation undoes an operation to isolate a variable while preserving equality on both sides. To keep the equation balanced.

Worked examples

Try itExample 1.1: Solve 4x+14=34.Show answer

5. Subtract 14 from both sides, then divide by 4. The answer is 5.

One-Step Equations

Objective: Explain and use one-step equations in an Algebra 1 problem.

An equation such as x+7=12 is solved by one inverse operation; check the result by substitution into the original statement. Substitute it into the original equation.

Worked examples

Try itExample 2.1: Solve 2x+24=40.Show answer

8. Subtract 24 from both sides, then divide by 2. The answer is 8.

Two-Step Equations

Objective: Explain and use two-step equations in an Algebra 1 problem.

An equation ax+b=d with nonzero a can be solved by removing b and then dividing by a; use the reverse order of operations. It isolates the term containing x.

Worked examples

Try itExample 3.1: Solve 3x+34=67.Show answer

11. Subtract 34 from both sides, then divide by 3. The answer is 11.

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