Solving Multi-Step Equations NOTES & PRACTICE

Solve a multi-step linear equation in one variable by simplifying distributive expressions, combining like terms, and isolating the variable using inverse operations.

Check a solution's validity by substituting it back into the original equation.

Identify the specific step where an error was made in another student's worked solution.

Have students fill in the blanks on the notes page together as a class before moving to independent practice, since the notes are structured as a fill-in-the-blank scaffold rather than fully worked examples.

Use the file's own suggestion to activate prior knowledge by asking students to guess each fill-in-the-blank term before revealing it.

If your state test allows calculators, use the check-your-work step as an opportunity to teach students how to verify an answer with one, per the file's own note.

Multi-step equation solving — students apply a five-step method (simplify, combine like terms, isolate variables, isolate constants, solve) to equations with distributive expressions and terms on both sides.

Solution verification — a worked example shows substituting the solution back into the original equation to confirm both sides match.

Rational-coefficient equations — practice problems include equations with fractional coefficients, matching the distributive-property and like-terms requirement of the targeted standard.