10 questions
8th - 8th Grade
Mathematics
Solving Two-Step Inequalities is a Grade 8 mathematics worksheet that helps students solve linear inequalities by simplifying expressions, using the distributive property, and isolating the variable. The problems include forms such as 3x + 5 > 17, 2(4x - 3) ≤ 10, 3(x + 2) ≥ 21, and 5(x + 1) > 35, requiring students to identify the correct inequality solution rather than only an equation answer. The worksheet contains 10 multiple-choice questions, giving students focused practice recognizing solutions such as x > 4, x ≤ 2, x ≥ 5, and x ≤ 8. It is suitable for Grade 8 instruction, independent practice, review, or a quick formative assessment of students’ ability to perform the necessary operations and preserve the inequality relationship. This free printable worksheet includes a complete answer key for efficient checking.
Worksheet settings
Font size
WorksheetsAnswer Keyx > 4
x ≤ 2
x < 4
x ≥ 5
x > 5
x ≤ 8
x > 3
x < 5
x ≥ 6
x > 6
This Grade 8 worksheet covers solving two-step linear inequalities, including inequalities with parentheses that require the distributive property before isolating the variable. Its 10 multiple-choice questions ask students to select the complete inequality solution, such as x > 4, x ≤ 2, or x ≥ 5, rather than report only a single number.
First model how to simplify an expression such as 2(4x - 3) ≤ 10 or 3(x + 2) ≥ 21, then show how to isolate x while preserving the inequality symbol. Have students explain why an inequality solution describes a range of values, and use the multiple-choice options to discuss why an equality answer or an incorrectly calculated boundary does not fully solve the problem.
Watch for students distributing a coefficient incorrectly in expressions such as 2(4x - 3), 3(x + 2), or 5(x - 3), or stopping after finding a boundary value instead of writing the full inequality. Students may also select x = 5 or x = 6 when the correct response requires x ≥ 5 or x > 6, so check that they preserve the inequality sign in their final answer.
This Solving Two-Step Inequalities worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for checking the 10 multiple-choice responses. For printable submissions, you can scan student work with the Wayground for Teachers app to support faster grading.
Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the inequality expressions and multiple-choice options are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the same two-step inequality practice.
Wayground offers a comprehensive 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.