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Free worksheets for 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.

All of the worksheets come with an answer key; however, you need to click the link to the answer key immediately after generating the worksheet, because the answer key is only generated when you click on that link. Because of this, you cannot find the answer key for a specific worksheet later on, should you come looking for it.

Please use the quick links below to generate some common types of worksheets.

Write the inequality that matches the graph or plot the given (simple) inequality, such as x ≤ 12
Solve the given inequality in the given set (easy)

Solve simple one-step inequalities - no multiplying/dividing by negative numbers
Solve one-step inequalities
Solve one-step inequalities and plot the solution set

Solve multi-step linear inequalities
Solve multi-step linear equalities and plot the solution set

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)

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