Solving One-Step Inequalities - Solving One-Step Inequalities by Adding/Subtracting

Oct 8, 2026

Worksheets for Infinite Pre-Algebra practice solving one-step inequalities using addition and subtraction. Problems require solving each inequality and graphing the solution on a number line, including various relational symbols (≥, >, ≤, <). The set uses linear expressions such as x plus or minus constants, and substitutions like n, v, r, p, k, and a to reinforce inequality solving and interval representation.

LanguageEnglish

CategoryExam

FormatPDF

Pages4

Reading Time10 min

AccessFree to download

Solving One-Step Inequalities by Adding/Subtracting

Solve and Graph Each Inequality

Inequalities Using Addition and Subtraction

Kuta Software-Infinite Pre-Algebra Name Solving One-Step Inequalities by Adding/Subtracting Date Period Solve each inequality and graph its solution. 1) x + 8 ≥ 18 2) x − 1 > 6 7 8 9 10 11 12 13 5 6 7 8 9 10 11 12 3) −7 + x ≥ −8 −5 −4 −3 −2 −1 0 1 2 4) x − 1 ≤ 3 2 3 4 5 6 5) n − 2 ≤ 4 1 2 3 4 5 6 7 8 9 10 6) v − 1 < 3 2 3 4 5 6 7 8 9 7) −18 + n < −7 8 9 10 11 12 13 8) r + 13 < 9 −7 −6 −5 −4 −3 −2 −1 9) n − 4 ≥ 13 14 15 16 17 18 19 20 21 22 10) p + 8 > −4 −17 −16 −15 −14 −13 −12 −11 −10 −9 −8 11) 17 + k ≤ 10 −9 −8 −7 −6 −5 −4 12) −2 + x ≤ −16 −16 −15 −14 −13 −12 −11 13) −28 < v − 16 14) n − 2 > −20 −16 −15 −14 −13 −12 −11 −10 −9 −8 −21 −20 −19 −18 −17 −16 −15 −14 15) x − 7 < −20 16) x + 13 ≥ 5 −17 −16 −15 −14 −13 −12 −11 −10 −9 −11 −10 −9 −8 −7 −6 −5 17) x − 10 > −1 7 8 9 10 11 12 13 14 18) x − 12 < −11 −2 −1 0 1 2 3 4 5 19) r − 2 > 11 20) 9 + n > −4 9 10 11 12 13 14 15 16 −16 −15 −14 −13 −12 −11 −10 −9 −8 21) 20 ≥ p + 16 0 1 2 3 4 5 6 7 8 22) 11 ≥ 8 + n −1 0 1 2 3 4 5 23) 6 > −11 + a 24) p − 6 ≥ −3 13 14 15 16 17 18 19 20 21 −2 −1 0 1 2 3 4 5 25) n − 83 > −166 26) −3 ≥ x + 16 −86 −85 −84 −83 −82 −81 −24 −23 −22 −21 −20 −19 −18 −17 −16 −15 Kuta Software-Infinite Pre-Algebra Name Solving One-Step Inequalities by Adding/Subtracting Date Period Solve each inequality and graph its solution. 1) x + 8 ≥ 18 2) x − 1 > 6 7 8 9 10 11 12 13 5 6 7 8 9 10 11 12 3) −7 + x ≥ −8 −5 −4 −3 −2 −1 0 1 2 4) x − 1 ≤ 3 2 3 4 5 6 5) n − 2 ≤ 4 1 2 3 4 5 6 7 8 9 10 6) v − 1 < 3 2 3 4 5 6 7 8 9 7) −18 + n < −7 8 9 10 11 12 13 8) r + 13 < 9 −7 −6 −5 −4 −3 −2 −1 9) n − 4 ≥ 13 14 15 16 17 18 19 20 21 22 10) p + 8 > −4 −17 −16 −15 −14 −13 −12 −11 −10 −9 −8 11) 17 + k ≤ 10 −9 −8 −7 −6 −5 −4 12) −2 + x ≤ −16 −16 −15 −14 −13 −12 −11 13) −28 < v − 16 14) n − 2 > −20 −16 −15 −14 −13 −12 −11 −10 −9 −8 −21 −20 −19 −18 −17 −16 −15 −14 15) x − 7 < −20 16) x + 13 ≥ 5 −17 −16 −15 −14 −13 −12 −11 −10 −9 −11 −10 −9 −8 −7 −6 −5 17) x − 10 > −1 7 8 9 10 11 12 13 14 18) x − 12 < −11 −2 −1 0 1 2 3 4 5 19) r − 2 > 11 20) 9 + n > −4 9 10 11 12 13 14 15 16 −16 −15 −14 −13 −12 −11 −10 −9 −8 21) 20 ≥ p + 16 0 1 2 3 4 5 6 7 8 22) 11 ≥ 8 + n −1 0 1 2 3 4 5 23) 6 > −11 + a 24) p − 6 ≥ −3 13 14 15 16 17 18 19 20 21 −2 −1 0 1 2 3 4 5 25) n − 83 > −166 26) −3 ≥ x + 16 −86 −85 −84 −83 −82 −81 −24 −23 −22 −21 −20 −19 −18 −17 −16 −15 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available [at KutaSoftware.com](at KutaSoftware.com)

FAQs

What do students have to do for each inequality problem?

Solve each inequality and graph its solution on a number line.

How are the one-step inequalities structured in these worksheets?

They use simple linear expressions where a variable is adjusted by adding or subtracting a constant, then compared to another value.

Do the worksheets include different inequality signs?

Yes. The problems use symbols such as ≥, >, ≤, and <, which affect whether endpoints are included on the graph.

Oct 8, 2026

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