Multi-Step Equations QUIZ

Solve multi-step linear equations in one variable, including equations requiring the distributive property and combining like terms.

Determine whether a linear equation has one solution, no solution, or infinitely many solutions.

Identify the specific step where an error occurs in someone else's worked solution.

Evaluate multiple students' reasoning about the same equation and judge which explanation is mathematically correct.

Choose the printable version for a proctored in-class test or the linked Google Forms version for an at-home digital assignment — both formats cover the same 10 questions.

Use the error-analysis question (question 5) and the four-students question (question 10) as discussion starters on common equation-solving mistakes, since both require reasoning about someone else's work rather than only computing an answer.

Review the answer key's mix of one-solution, no-solution and infinite-solution answers before assigning, since all three cases appear across the 10 questions.

Multi-step equation solving -- students combine like terms, apply the distributive property, and isolate the variable across most of the 10 questions.

Solution-type classification -- several questions require recognizing whether an equation has one solution, no solution, or infinitely many.

Error analysis -- one question presents a step-by-step worked solution and asks students to locate the specific error, if any.

Evaluating reasoning -- one question asks students to judge which of four students' explanations of an equation is correct.