Created by Kyle Holauchock
1 questions
7th Grade
Math
Two step equations w/ rational coefficients is a Grade 7 mathematics worksheet that builds foundational skill with two-step equations involving fractional coefficients. Students identify variables, coefficients, and constants; recognize reciprocals; choose the inverse operation needed to remove a constant; and determine the first step for isolating a variable. The worksheet includes one comprehension-video item and 10 multiple-choice questions, including equations such as 1/2x − 8 = 12 and 3 + 3/4x = 24. The questions move from vocabulary and solving procedures to applying those procedures and interpreting a variable in a simple cost context. Students use multiplication or division to remove a rational coefficient and select solutions to equations, reinforcing how inverse operations work together in a two-step process. This free printable worksheet includes a complete answer key and can support guided practice, independent review, or a quick formative check of Grade 7 equation-solving readiness.
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WorksheetsAnswer KeyA quantity represented by a letter
The number being multiplied by the variable
A term without a variable
Both A and B
2
40
Addition
28
Remove the constant term
The cost of one drink
This Grade 7 worksheet uses one comprehension-video item and 10 multiple-choice questions to develop two-step equation skills with fractional coefficients. Students identify variables, coefficients, and constants, find reciprocals, choose inverse operations, and solve equations such as 1/2x − 8 = 12 and 3 + 3/4x = 24. The items connect equation vocabulary to the steps needed to isolate the variable.
Begin by reviewing the worksheet’s vocabulary items for variable, coefficient, and constant, then model removing the constant before undoing the rational coefficient. Use the reciprocal question to connect division by a fraction with multiplication by its reciprocal, and have students explain why addition removes a subtracted constant. Finish with the equation and cost-context questions so students apply the procedure and interpret what the variable represents.
Watch for students confusing a coefficient with a constant or treating the variable as an operation rather than a quantity represented by a letter. In the equation items, students may remove the coefficient before the constant, use subtraction to undo a subtraction, or apply the wrong reciprocal when working with 1/2 and 3/4. The cost-context item also checks whether students understand that D represents the cost of one drink, not the total cost or number of drinks.
You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key for the comprehension-video item and the 10 multiple-choice questions, and printable student work can be graded by scanning it with the Wayground for Teachers app. The PDF option also supports classrooms that are reducing screen time.
Use the worksheet’s Advanced Settings to adjust font size or spacing so the vocabulary and equation choices are easier to read. You can also enable a dyslexia-friendly font for the multiple-choice items or translate the worksheet into another language for students who need language support. These adjustments apply to the worksheet file while preserving its focus on two-step equations with rational coefficients.
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