Created by Wendie Reaves
12 questions
7th - 8th Grade
Math
This Grade 7–8 mathematics worksheet gives students 12 multiple-choice questions on translating, simplifying, and solving one- and two-step linear equations. Students identify the meaning of 3x, select the inverse operation for multiplication, translate verbal statements into equations, solve equations with combining like terms and integer constants, apply the distributive property, and combine like terms in algebraic expressions. The worksheet supports practice with the connected steps students need for introductory algebra: representing an unknown with a variable, writing an equation from words, simplifying each side, and isolating the variable. It is useful for guided practice, independent review, or a quick formative check because the answer choices reveal common errors such as sign changes, incorrect operation selection, and incomplete distribution. This is a free printable worksheet with a complete answer key for Grade 7 and Grade 8 math instruction.
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WorksheetsAnswer KeyD. Division
2x + 9 = 23
8k+14
11d + 2y
This worksheet uses 12 multiple-choice questions to practice translating verbal statements into equations, simplifying expressions, and solving one- and two-step linear equations. Students also identify the meaning of 3x, select division as the inverse of multiplication, use the distributive property, and combine like terms before solving or simplifying.
Begin by modeling how a verbal statement such as “four times a number plus six is 30” becomes 4x + 6 = 30, then review how inverse operations isolate the variable. Use the equation-solving items to have students explain each simplification step, and pause on the distributive-property and like-term questions to reinforce skills that appear within more complex equations.
Watch for students interpreting 3x as addition or division, choosing an operation other than division to undo multiplication, and changing a sign incorrectly when working with negative constants or coefficients. Students may also distribute 2 incorrectly in 2(4k + 7), combine unlike terms in 4y + 8d - 2y + 3d, or translate the verbal equations with the wrong operation or variable placement.
You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work 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 12 multiple-choice equation items are easier to read and mark. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options support access to the algebra vocabulary and directions.
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