9 questions
7th - 7th Grade
Mathematics
This Grade 7 mathematics worksheet gives students focused practice solving linear equations with variables on both sides. The nine multiple-choice questions require students to isolate the variable by combining like terms and moving variable and constant terms, with equations that include positive and negative coefficients, a fractional coefficient, and different variable names. One item asks students to determine whether a proposed value satisfies an equation, reinforcing solution verification rather than relying only on algebraic manipulation. Use this free printable worksheet for pre-algebra practice, independent work, homework, or a quick check of equation-solving fluency. The answer choices help reveal common sign, inverse-operation, and computation errors, while the included answer key supports efficient review and grading. It is appropriate for Grade 7 students who are developing accuracy and confidence with multi-step equations in which the variable appears on both sides of the equals sign.
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WorksheetsAnswer KeyThis Grade 7 pre-algebra worksheet covers solving linear equations with variables on both sides through nine multiple-choice questions. Students combine like terms, move variable and constant terms, work with positive, negative, and fractional coefficients, and check whether a proposed value satisfies an equation.
Model one equation by collecting variable terms on one side and constants on the other, explaining how each inverse operation preserves equality. Then have students solve selected multiple-choice items and justify why the other options do not work. Use the item asking whether 7 is a solution to connect symbolic solving with substitution and verification.
Watch for students changing a sign incorrectly when moving a term across the equals sign, combining unlike terms, or stopping before isolating the variable. Students may also select an answer without checking it in the original equation, especially on the item that asks whether 7 is a solution. The fractional-coefficient equation can reveal errors in clearing or dividing by a coefficient.
This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all nine multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.
Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the equations and answer choices are easier to scan. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the nine multiple-choice equation-solving items intact.
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