7th Grade Distributive Property Quizzes

Make the sign part of the factor being distributed. For −3(x − 4), write the two products explicitly, (−3)(x) and (−3)(−4), before simplifying to −3x + 12; this prevents students from applying memorized sign changes without understanding the multiplication.

Include expanding expressions with positive and negative coefficients, simplifying after distribution, and factoring out a common factor. Multi-step problems should be introduced only after students reliably multiply every term inside the parentheses.

The biggest trouble spots are distributing to only the first term and losing a negative sign. Students also sometimes combine terms that are not like terms, so require them to label the products before simplifying.

Use the quiz as a hosted digital quiz on Wayground or print the PDF for classwork, homework, or remediation. A complete answer key is included, and the Wayground for Teachers app can capture and grade students’ paper submissions.

Yes. Common Core expects students to use properties of operations to create equivalent expressions with rational coefficients. Grade 7 work extends earlier variable expressions to negative numbers, factoring, and multi-step simplification, which students later use when solving equations.

Students who struggle with signs may receive fewer answer choices and extended time in a digital session. Teachers can also create a version with wider spacing or a larger font so each distributed product and sign remains visually distinct.

Factoring reveals the distributive property in reverse. Turning 6x + 18 into 6(x + 3) helps students identify common structure, check expanded forms, and prepare for later work with algebraic factors.