Two-Step Inequalities With Integers
Written by Adi Ackerman, Head Teacher
"Two-Step Inequalities With Integers" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.EE.B.4.B. 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: solve and graph two-step inequalities with integers, such as 3x + 5 > −7 and 2x − 9 ≤ −3. Answer key included. Part of our inequalities algebra collection. Aligned to Common Core standards.
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 solve two-step inequalities with integer coefficients.
- Students will write the solution as an inequality.
- Students will graph the solution on a number line with an open or closed circle.
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
Curriculum Links
Common Core State Standards
Expressions and Equations · 7th Grade
Standard: Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
View all 7.EE.B.4.B worksheets →Find this in the curriculum
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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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Solve and graph two-step inequalities with integers, such as 3x + 5 > −7 and 2x − 9 ≤ −3. The directions on the page read: Solve each inequality and show your work. Write the solution, then graph it. Use an open circle for < or > and a closed circle for ≤ or ≥. 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