Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a two-step equations quiz? Then this Grade 7 quiz on Solving Two-Step Equations with Rational Numbers asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions test one-step undoing, two-step solving, equations written from words and diagrams, and estimation. Each wrong choice comes from a typical error such as undoing in the wrong order, so check by substituting in the original equation.
Standards: 7.EE.B.3, 7.EE.B.4a · Level: Grade 7
What this Solving Two-Step Equations with Rational Numbers quiz checks
- Undo addition or subtraction first in px + q = r, then undo multiplication or division.
- For p(x + q) = r, either divide by p first or distribute p first; both give the same solution.
- Dividing by a fraction means multiplying by its reciprocal.
- An arithmetic solution works backward with numbers and mirrors the algebraic steps.
The 10 questions of the quiz
- Solve 4x + 9 = 41.
- Solve −3x − 6 = 12.
- Solve x6 + 4 = 7.
- The diagram shows 2x + 4.5 = 17. What is x?
- Solve 6(x − 2) = 42.
- Solve 0.5x − 1.5 = 4.
- Which equation says “5 more than twice a number is 21”?
- Using the flow diagram, what is x?
- What is the first step in solving −23(x + 6) = 8?
- Which value is closest to the solution of 4.9x − 2.05 = 28.1?
After the quiz
Missed a question? Reread the Solving Two-Step Equations with Rational Numbers lesson, then take the quiz again. Next, solve the Grade 7 worksheet on Solving Two-Step Equations with Rational Numbers, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
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