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Free worksheets for solving or graphing linear inequalities

With this worksheet generator, you can make customizable worksheets for linear inequalities in one variable. These worksheets are especially meant for pre-algebra and algebra 1 courses (grades 7-9).

There are NINE problem types. The first two have to do with plotting simple inequalities and writing an inequality from a number line graph. The third one asks the student to solve a given (easy) inequality in a given set.

The rest of the problem types have to do with different kinds of inequalities that range from simple to complex (such as one-step inequalities, two-step inequalities, inequalities with a variable on both sides or with parentheses). Optionally, you can require the student to plot the solution set on a number line.

You can also choose to exclude multiplication or division by a negative number, which reverses the sign of the inequality and is also the the most difficult operation for students to remember. This option is useful when teaching inequalities in the most simple, beginner level.

Basic instructions for the worksheets

Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.

You can generate the worksheets either in html or PDF format — both are easy to print. To get the PDF worksheet, simply push the button titled "Create PDF" or "Make PDF worksheet". To get the worksheet in html format, push the button "View in browser" or "Make html worksheet". This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then edit it in Word or other word processing program.

Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:

  • PDF format: come back to this page and push the button again.
  • Html format: simply refresh the worksheet page in your browser window.

Ready-made worksheets

Use these quick links to create some common types of worksheets for writing expressions. Below, with the actual generator, you can generate worksheets to your exact specifications.

Write the inequality that matches the graph, or plot the given inequality, such as x ≤ 12 (grade 6)

View in browser     Create PDF
Solve the given inequality in the given set (easy) (grade 7)

View in browser     Create PDF
Solve simple one-step inequalities - does not include multiplying/dividing by negative numbers (grade 7)

View in browser     Create PDF
Solve one-step inequalities (grade 7)

View in browser     Create PDF
Solve one-step inequalities and
plot the solution set (grade 7)

View in browser     Create PDF
Solve multi-step linear inequalities (grades 7-8)

View in browser     Create PDF
Solve multi-step linear equalities and plot the solution set (grades 7-9)

View in browser     Create PDF
Solve multi-step linear inequalities - challenges (grades 8-9)

View in browser     Create PDF

See also

Worksheets for linear equations

Worksheets for simplifying expressions

Worksheets for evaluating expressions with variables

Worksheets for writing expressions with variables from verbal expressions

Inequality Worksheet Generator

Columns:   Rows:
(These determine the number of problems)

Range for the coefficients:
Min: Max:

Range for the constants:
Min: Max:

Number of decimal digits used in the variable(s) and constant(s)

Number of empty lines below the problem (workspace)

Size of the graph images (in pixels):

Choose the types of problems for the worksheet. Choose AT LEAST one type.

Type 1: Plot a given inequality on a number line (such as plot x ≤ −5)
Type 2: Write an inequality that corresponds to the plot on the number line
Type 3: Solve the given (very simple) inequality in the given set
(such as solve the inequality x < 2 in the set {−3, −2, −1, 0, 1, 2, 3}.

For problem types 4 - 9 below:
ask to plot the solution on a number line

Type 4: one-step inequalities (the simplest possible, such as x + 6 < 19 or 6x ≥ 17 or x/7 ≤ 18)
do not include multiplying/dividing by a negative number
Type 5: one-step inequalities where you first need to simplify an expression on one side
             (such as 4x > 19 − 7 or 10x − 2x ≤ 16)
do not include multiplying/dividing by a negative number
Type 6: two-step inequalities (such as 4x − 5 < 19 or (2x) / 6 ≥ 5)
do not include multiplying/dividing by a negative number
Type 7: includes parenthesis (such as 4(x + 5) < 50)
Type 8: variable on both sides (such as 4x + 5 > 9 + 7x)
Type 9: general, multi-step (such as (3x)/2 ≤ (4x − 5)/7)
Page orientation:
Portrait   Landscape
(PDF worksheet only; the orientation of an html worksheet can be set in the print preview of the browser)

Font:   Font Size: 

Cell Padding:

Border:     Bordercolor:

Additional title & instructions  (HTML allowed)


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