Created by Anne Decker
10 questions
9th Grade
Math
Updated Feb 2026
Solving Two-Step Equations with Fractional Coefficients is a Grade 9 mathematics worksheet with 10 multiple-choice questions. Students solve linear equations such as 1/2x + 3 = 7 and 2/3y - 5 = 1 by undoing the constant operation and then dividing by the fractional coefficient. The set includes equations with fractional coefficients, fractional constants, and solutions written as whole numbers or fractions. This free printable worksheet gives students focused practice applying inverse operations in the correct sequence while maintaining accurate fraction calculations. Its multiple-choice format lets teachers quickly check whether students can isolate the variable and recognize a correct solution, including values such as 57/8, 52/3, and 49/3. It is suitable for Grade 9 math practice, independent work, review, or a short formative check, and it includes a complete answer key for efficient feedback and grading.
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WorksheetsAnswer Keyx = 8
y = 9
4
a = 30
x = 57/8
y = 36
x = 52/3
a = 10
x = 12
y = 49/3
This Grade 9 worksheet covers solving two-step linear equations with fractional coefficients through 10 multiple-choice questions. Students use inverse operations to remove the constant term and then divide by coefficients such as 1/2, 2/3, 3/8, and 3/7, selecting solutions that may be whole numbers or fractions.
Model one item by first undoing the addition or subtraction, then showing how to divide by the fractional coefficient; for example, in 1/2x + 3 = 7, subtract 3 before dividing by 1/2. Have students explain why each operation is applied in that order, then use the remaining multiple-choice equations for guided practice before assigning independent work. Ask students to substitute a selected answer back into an equation such as 2/3x + 1/4 = 5 to verify it.
Watch for students dividing by the fractional coefficient before removing the constant, reversing the subtraction or addition step, or treating a fraction such as 3/8 as if it were a whole-number coefficient. Students may also make arithmetic errors when dividing by a fraction or reject correct fractional solutions such as 57/8, 52/3, and 49/3. Ask them to show both inverse-operation steps and substitute their answer back into the original equation.
You can assign this worksheet as a printable PDF or as a digital quiz on Wayground, and it includes a complete answer key for all 10 multiple-choice equations. For printable submissions, scan student work with the Wayground for Teachers app to support grading and record keeping. The printable format also gives schools an option for practice with less screen use.
Use the worksheet’s Advanced Settings to adjust font spacing or font size so the fractional coefficients and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the 10 multiple-choice equation items in the same practice format.
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