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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) For these problems, students do not need to perform any steps to isolate the variable.

Inequality Worksheets

Basic Level: Positive
Whole Numbers Only

Introduction to Inequalities (Basic)  FREE 
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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Inequalities (Basic)
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
Single Variable Inequalities (Addition & Subtraction)
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
Single Variable Inequalities (Multiplication & Division)
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
Solution Sets (Basic)
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
Rewrite Inequalities
(Single-Variable; Basic)
Rewrite each sentence as an inequality in standard mathematical form. (example: x is at least 20.)
6th through 8th Grades
Writing Inequalities
Write an inequality to represent each of the situations described on the page. They are all single-variable inequalities.
6th through 8th Grades

Intermediate Level:
Pos & Neg Numbers

Introduction to Inequalities (Intermediate)
Students must find and graph solutions to single variable inequalities. Uses negative numbers, fractions, decimals, and operators.
6th through 8th Grades
Inequalities (Intermediate)
Like the Introduction worksheet, students graph inequalities that use negative numbers, decimals, fractions, and operators, but with less examples.
6th through 8th Grades
Single Variable Inequalities - Intermediate (Addition & Subtraction)
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
Single Variable Inequalities - Intermediate (Multiplication & Division)
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
Solution Sets (Intermediate)
Decide which answers fit into the solution set for each number sentence.
6th through 8th Grades
Rewrite the Inequalities
(Single-Variable; Intermediate)
Rewrite each statement as an inequality with a variable. (example: z is not more than 3.14.)
6th through 8th Grades
See also:
One-Step Inequalities

This page has printables with single-step inequalities. These require students to isolate the variable. This is the next level up from 'single variable' inequalities.
(example: 27 - x ≤ 21)

Pre-Algebra and Algebra Worksheets

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

Worksheet Images

Printable Single Variable Inequalities Worksheets

Single Variable Inequalities (Printable Worksheets)

Solution Sets - Single Variable Inequalities

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