Solving Multi-Step Equations

Overview

Goal. Solve multi-step equations: simplify each side first (distribute, combine like terms), then undo operations in reverse order, checking by substitution.

Like terms (definition). Terms with the same variable raised to the same power; they can be combined into one term.

Two-step equations, parentheses, like terms, fraction coefficients.

Lesson Notes

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Notes page

Lesson Video

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Interactive Activity

Goal. Solve two-step and multi-step equations: clear parentheses and like terms first, then undo in reverse order — and check by substituting.

Like terms (definition). Terms with the same variable raised to the same power; they can be combined into one term.

Solving Multi-Step Equations — Interactive ActivityOpen ›

Check It on a Calculator

Desmos.

1. Type the equation or function you are working with.

2. Read the graph, the table, or the solution Desmos shows.

3. Compare with your own work before you trust it.

TI-84.

1. Press Y= and enter the left and right sides as Y1 and Y2.

2. Press GRAPH to see both sides.

3. Use 2nd TRACE, then intersect or value, to read the key point.