Test Solutions to One-Step Inequalities
Written by Adi Ackerman, Head Teacher
"Test Solutions to One-Step Inequalities" is written for 7th Grade (Ages 12-13). A 6th grader who is already steady on algebra can use it too, and an older student can use it as a short review.


7th grade math worksheet: test values in one-step inequalities such as −2x < 8 and circle every value that makes it true. Answer key included. Part of our inequalities algebra collection.
How do I use this worksheet?
Begin with the one-step sheets and When to Flip the Inequality Sign before the two-step sheets. Have students check a solution by substituting a value from the shaded part of the graph.
What students will practice
- Students will substitute each given value into an inequality.
- Students will decide which values make the inequality true, knowing there may be more than one.
- Students will connect a solution set to the individual values that belong to it.


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Factor Linear Expressions With Fraction Results


Factor Linear Expressions With Three Terms


Expand or Factor, Decide Which


Factor Using Area Models, Integer Terms
Curriculum Links
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FAQ
How do I use this inequalities worksheet?
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Begin with the one-step sheets and When to Flip the Inequality Sign before the two-step sheets. Have students check a solution by substituting a value from the shaded part of the graph.
What does this worksheet teach?
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Test values in one-step inequalities such as −2x < 8 and circle every value that makes it true. The directions on the page read: Substitute each value for x. Circle every value that makes the inequality true. A problem can have more than one. An answer key is included.
Can I use this inequalities worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade algebra, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
When do you flip the inequality sign?
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Flip it when you multiply or divide both sides by a negative number. For −3x > 15, dividing by −3 gives x < −5. When to Flip the Inequality Sign has students check each solved step as right or wrong.
How do you graph an inequality on a number line?
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Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the side that makes the inequality true. The graphing sheets here print a number line under each problem. Two-Step Inequalities With Integers practices this.
How do you know if a number is a solution to an inequality?
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Substitute the number for the variable and see if the statement is true. A problem can have more than one solution. Test Solutions to One-Step Inequalities has students circle every value that works.
How do you write an inequality from a word problem?
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Look for limits such as at most, at least or less than. Noor can spend at most $42 on $6 notebooks gives 6n ≤ 42. Write and Solve One-Step Inequalities in Context also asks students to write what the answer means in a sentence.
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Expand Linear Expressions With Negative Factors


Expand With Fractional and Decimal Coefficients


Expand and Then Combine Like Terms


Factor Out the GCF From Linear Expressions


Factor Linear Expressions With Fraction Results


Factor Linear Expressions With Three Terms


Expand or Factor, Decide Which


Factor Using Area Models, Integer Terms