10 questions
7th - 7th Grade
Mathematics
Solve Two-Step Inequalities is a free Grade 7 mathematics worksheet that gives students focused practice solving two-step inequalities with integer coefficients, negative values, and a variable in the numerator. The 10 multiple-choice questions include symbolic inequalities such as 2x + 6 ≥ -8 and u/7 − 1 ≤ 1, along with items that require students to solve and identify the correct graph of an inequality. Students must attend to inequality symbols, isolate the variable, and recognize the solution represented by each answer choice. This worksheet is useful for guided practice, independent work, or a quick check of students’ readiness to represent inequality solutions graphically. The multiple-choice format helps teachers identify whether an error comes from rearranging the inequality, handling negative coefficients, or interpreting a graph. It is a free printable worksheet with a complete answer key, making it convenient for Grade 7 math instruction and review.
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WorksheetsAnswer Keya > -3
-3 < y
x < -20
x < -5
This Grade 7 math worksheet covers solving two-step inequalities and selecting the correct solution, including inequalities with negative coefficients and a variable in a fraction. Its 10 multiple-choice items also include questions where students solve an inequality and identify its matching graph, building accuracy with both symbolic solutions and visual representations.
Model one item by undoing the operations in reverse order and emphasizing that dividing or multiplying by a negative reverses the inequality sign. Then have students solve the symbolic multiple-choice items before discussing how the final inequality determines the correct graph in the graphing questions. Ask students to explain why an incorrect option does not satisfy the original inequality.
Watch for students who fail to reverse the inequality sign when isolating a variable with a negative coefficient, as in items involving −4x or −9a. Students may also confuse x ≥ −7 with x ≤ −7, mishandle the fraction in u/7 − 1 ≤ 1, or choose a graph without checking whether the boundary and shading match the inequality.
On Wayground, assign Solve Two-Step Inequalities as a digital quiz or download it as a printable PDF. The worksheet includes a complete answer key for checking the 10 multiple-choice responses, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The PDF option can also support classrooms that are reducing screen time.
Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the inequality expressions and graph choices are easier to scan. You can also apply a dyslexia-friendly font or translate the multiple-choice worksheet into another language when that better supports access to the equations and instructions.
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
