Created by Caitlin Dabkowski
11 questions
7th - 8th Grade
Math
This Grade 7–8 mathematics worksheet gives students focused practice solving two-step linear equations in one variable. Across 11 multiple-choice questions, students use inverse operations to isolate the variable, identify the correct first step, and solve equations with positive and negative terms, including equations written with a variable in a fraction such as x/4 or x/3. The worksheet helps students connect procedural steps with accurate solutions rather than relying on guesswork. Questions such as 11 − 3x = 44 and 5b − 6 = 24 ask students to recognize the appropriate operation sequence, while other items reinforce solving equations such as −3x − 12 = 15 and checking answer choices for sign and operation errors. It is designed for Grade 7–8 pre-algebra instruction, independent practice, review, or formative assessment. This is a free printable worksheet with a complete answer key.
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WorksheetsAnswer Keyc = 6
2
13
a=10
This worksheet covers solving two-step linear equations in one variable using inverse operations. Its 11 multiple-choice questions ask students to isolate the variable, identify the correct first step, and solve equations with positive and negative terms, as well as forms such as x/4 + 11 = 20 and x/3 + 5 = −1.
Use the questions to model a consistent sequence: undo the constant operation first, then undo the multiplication, division, or signed coefficient attached to the variable. Before students work independently, discuss the first-step item for 11 − 3x = 44 and the two-step sequence for 5b − 6 = 24, then have students explain why each operation must be applied to both sides.
Watch for students reversing the order of inverse operations, changing only one side of an equation, or choosing an answer based on an arithmetic slip. The negative-coefficient item −3x − 12 = 15 and the equations with x/4 and x/3 are especially useful for spotting sign errors, incorrect division, and confusion between dividing by a number and multiplying by it.
You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key for the 11 multiple-choice questions, and printable student work can be graded by scanning it with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time.
Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the equation choices and operation sequences are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language, while keeping the same multiple-choice practice with equations such as 4x + 7 = 23 and x/3 + 5 = −1.
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