Created by Sarah Iddings
15 questions
7th - 8th Grade
Math
Updated Feb 2026
2 Step Equations - Math 7 is a free printable mathematics worksheet for students in Grades 7–8 who are learning to solve two-step linear equations. It includes 15 multiple-choice questions requiring students to isolate a variable using inverse operations in equations such as 4x + 7 = 23, -6w + 1 = -11, x/5 - 13 = 20, and 9 + 3x = 10. The practice includes positive and negative constants, negative coefficients, fractional results, a model-based equation, and a final item asking students to verify whether a value is a solution. These varied formats help students apply the two-step solving process rather than rely on one equation pattern. The worksheet is appropriate for independent practice, review, or a formative check, and includes a complete answer key for efficient grading.
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WorksheetsAnswer KeyThis Grade 7–8 worksheet helps students solve two-step linear equations by undoing addition or subtraction and then multiplication or division to isolate the variable. Its 15 multiple-choice items include equations with negative coefficients, negative constants, a variable divided by 5, a model-based equation, and a solution-check question, so students apply the process across varied forms.
Introduce the inverse-operation sequence with a simple item such as 4x + 7 = 23, modeling how to remove the constant before dividing by the coefficient. Then have students work through equations with negative values, such as -6w + 1 = -11, and discuss how checking the result in the original equation confirms the answer. Use the final yes-or-no item about whether 5 solves 3x + 4 = 19 as a quick transition from solving to verification.
Students may perform the operations in the wrong order, change the sign incorrectly when moving a constant, or divide by a negative coefficient without preserving the correct sign. Watch especially for errors in forms such as 12 = 4 - 4x and -5t + 9 = 24, as well as the division equation x/5 - 13 = 20, where students may multiply by 5 before removing the constant. Some students may also select an answer without substituting it back into the equation.
This worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for all 15 multiple-choice questions. For printable submissions, you can scan student work with the Wayground for Teachers app to support efficient grading. The printable format also gives schools an option for reducing screen time during equation practice.
Use the worksheet’s Advanced Settings to adjust font spacing and font size so the 15 multiple-choice equations are easier to scan and annotate. You can also enable a dyslexia-friendly font or translate the worksheet into another language when that better supports access to the equations and answer choices.
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