8th Grade Rearranging Equations Quizzes

The major step up in 8th grade is solving linear equations with variables on both sides (e.g., 5x - 3 = 2x + 9). Students also learn to solve equations that first require using the distributive property and combining like terms before they can begin isolating the variable.

Instruct students to first simplify each side of the equation by distributing and combining like terms. Then, guide them to collect all variable terms on one side and all constant terms on the other. It's often helpful to move the variable term with the smaller coefficient to avoid working with negatives.

Effective practice includes a mix of problems. Start with simple cases like 7x = 4x + 15. Then, introduce more complexity with problems requiring distribution, such as 3(n - 5) = 2(n + 1), and those with negative coefficients or fractional terms. This quiz provides this scaffolded practice.

Students often get confused about how to move a variable term from one side to the other. For example, in 5x = 2x + 12, they might try to divide by 2x instead of subtracting 2x from both sides. Sign errors are also very common during this multi-step process.

This quiz is designed for targeted practice or review. Assign it digitally on Wayground for instant feedback, or print the PDF for students to complete on paper. For printed work, the Wayground for Teachers app allows you to scan and grade assignments efficiently using the provided answer key.

This topic is central to the 8th-grade Common Core standards for Expressions & Equations. The standards explicitly require students to solve linear equations in one variable, including cases with variables on both sides and those requiring the distributive property. This mastery is a critical prerequisite for studying systems of equations and functions.