Created by Haley Smith
15 questions
7th - 8th Grade
Math
Two-Step Equations w/ Multiplication is a free printable Grade 7–8 mathematics worksheet that helps students solve linear equations by applying inverse operations and isolating the variable. Across 15 items, including 13 multiple-choice questions and 2 fill-in-the-blank questions, students identify the goal of solving an equation, choose whether to add, subtract, multiply, or divide on both sides, and solve equations with positive and negative coefficients and constants. The worksheet moves from recognizing inverse operations and selecting an appropriate first step to finding the value of a variable in equations such as 3x + 5 = 20, 8x - 10 = -34, and 7k - 14 = 42. It is designed for guided practice, independent review, or a quick check of procedural understanding. The resource includes a complete answer key and is available as a free printable worksheet for classroom use.
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WorksheetsAnswer KeyFind the value of the variable or unknown
Subtract 5 from both sides of the equation
Divide both sides by 4.
Add 11 to both sides.
w = 12
n=6
division
multiplication
x=-13
8
This worksheet practices solving two-step linear equations by using inverse operations to isolate a variable. Its 15 items ask students to identify the correct first step, distinguish addition and subtraction from multiplication and division, and solve equations with positive and negative values through multiple-choice and fill-in-the-blank formats.
Begin by modeling how to undo the constant term on both sides, then undo the coefficient using the inverse operation. Use the worksheet’s questions about equations such as 3x + 5 = 20 to have students explain why subtracting 5 comes before dividing by 3, and follow with the signed examples for guided or independent practice.
Watch for students choosing the wrong inverse operation, changing only one side of an equation, or dividing before removing the added or subtracted constant. Students may also lose the negative sign when solving equations such as 8x - 10 = -34 or -6w + 1 = -11, so require them to show both inverse-operation steps.
You can assign this worksheet as a printable PDF or as a digital quiz on Wayground, and it includes a complete answer key for checking the 13 multiple-choice and 2 fill-in-the-blank responses. For printable submissions, scan student work with the Wayground for Teachers app to support grading.
Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the multiple-choice options and equations are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while students practice the inverse-operation and variable-solving items.
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.