Single Variable Inequalities

On each of these printable pre-algebra worksheets, students will solve, write, and/or graph simple, one-variable inequalities. (example: x is less than or equal to 7) On this page you'll find two levels. The "basic" level only includes positive numbers. The "intermediate" level includes negative and positive numbers.

Basic Level: Positive
Whole Numbers Only
On this worksheet, students will find and graph solutions to basic, single variable inequalities. All problems have only positive, whole numbers.
6th through 8th Grades
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Common Core
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Students solve and graph basic, single variable inequalities. All problems have only positive, whole numbers. Less examples than the Introduction worksheet.
6th through 8th Grades
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Common Core
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Students graph the basic, single-variable inequalities. All inequalities on this worksheet have addition or subtraction on one side of the inequality.
6th through 8th Grades
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Common Core
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A set of single-variable, basic inequalities for students to graph on a number line. All the inequalities feature multiplication or division on one side of the inequality.
6th through 8th Grades
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Common Core
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Determine which numbers are in the solution set for each inequality. Circle the correct choices. This version includes only positive numbers.
6th through 8th Grades
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Common Core
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Rewrite each sentence as an inequality in standard mathematical form. (example: x is at least 20.)
6th through 8th Grades
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Common Core
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Intermediate Level:
Pos & Neg Numbers
Students must find and graph solutions to single variable inequalities. Uses negative numbers, fractions, decimals, and operators.
6th through 8th Grades
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Common Core
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Like the Introduction worksheet, students graph inequalities that use negative numbers, decimals, fractions, and operators, but with less examples.
6th through 8th Grades
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Common Core
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Intermediate, single-variable inequalities are graphed on a number line. This worksheet includes only addition or subtraction on one side of the inequality. Negative numbers, decimals, and fractions are included.
6th through 8th Grades
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Common Core
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A page of single variable, intermediate-level inequalities with a multiplication or division fact on one side of the inequality. The multiplication and division include decimals, fractions, and negative numbers.
6th through 8th Grades
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Common Core
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Decide which answers fit into the solution set for each number sentence.
6th through 8th Grades
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Common Core
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Rewrite each statement as an inequality with a variable. (example: z is not more than 3.14.)
6th through 8th Grades
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Common Core
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See also:
One-Step Inequalities

This page has printables with single-step inequalities.
(example: 27 - x ≤ 21)

Basic Algebra Worksheets

This page has very basic worksheets to introduce expressions, equations, and variables.

Absolute Value

Calculate, compare, and order numbers with absolute values.

Worksheet Images

Printable Single Variable Inequalities Worksheets


Single Variable Inequalities (Printable Worksheets)


Solution Sets - Single Variable Inequalities