8 questions
6th - 6th Grade
Mathematics
This Grade 6 mathematics worksheet gives students focused practice solving and interpreting one-step inequalities through eight multiple-choice questions. Students isolate a variable by adding, subtracting, multiplying, or dividing; translate a cost situation into an inequality; identify the best first step; test whether a value satisfies an inequality; and recognize that closed dots represent ≤ and ≥ when graphing. The set also includes a fractional-coefficient inequality, such as ⅓n ≥ 3, requiring students to determine the resulting solution. Use this free printable worksheet to check whether students can connect algebraic operations, inequality symbols, solution values, and graphing conventions. Its varied question formats move beyond routine solving while keeping each item focused on a single decision or skill. The worksheet includes a complete answer key, making it useful for independent practice, a quick formative assessment, review after instruction, or targeted reteaching of one-step inequality procedures.
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WorksheetsAnswer Key6x ≤ 30
divide both sides by 18.
subtract 5 from both sides.
This Grade 6 worksheet uses eight multiple-choice questions to practice solving one-step inequalities, choosing the correct first operation, translating a per-hour cost situation into an inequality, testing a proposed value, and identifying closed-dot symbols when graphing. Students build accuracy by connecting symbolic procedures such as 8x < 48 and ⅓n ≥ 3 with solution statements and inequality representations.
Introduce the worksheet by modeling how the inverse operation isolates the variable, then have students explain why each operation preserves the inequality. Use the cost scenario to discuss why repeated hourly charges are represented by 6x ≤ 30, and pause at the first-step questions to ask students to justify whether they should add, subtract, multiply, or divide. Finish by having students substitute a value into an inequality and connect ≤ or ≥ to a closed graphing dot.
Watch for students translating the bowling cost as x + 6 ≤ 30 instead of recognizing six dollars for each hour as 6x ≤ 30. Students may also choose an operation that does not undo the constant or coefficient, accept y = 13 without checking y + 4 < 16, or confuse closed dots for ≤ and ≥ with the symbols < and >. The fractional-coefficient item can reveal whether students understand that dividing by ⅓ is equivalent to multiplying by 3.
Wayground provides this worksheet as both a printable PDF and a digital quiz, so you can use the eight multiple-choice items for paper practice or online completion. It includes a complete answer key for checking solution choices, first-step reasoning, value substitution, and graphing-symbol knowledge. For printable submissions, you can scan student work with the Wayground for Teachers app to help grade responses efficiently.
In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size so the inequality expressions and multiple-choice options are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the one-step inequality questions and answer choices intact.
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.