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Write and Solve Two-Step Inequalities in Context

Written by Adi Ackerman, Head Teacher

"Write and Solve Two-Step Inequalities in Context" 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.

Popular with 7th Grade teachers · Downloaded 301 times
Write and Solve Two-Step Inequalities in Context
Write and Solve Two-Step Inequalities in Context

7th grade math worksheet: write and solve two-step inequalities about cookie tins, a party and car washes, then state the limit. 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 write a two-step inequality for a budget or goal situation.
  • Students will solve it in a box and find the whole-number limit.
  • Students will state the limit in words, such as at least 4 tickets.


Curriculum Links

Common Core State Standards

Expressions and Equations · 7th Grade

7.EE.B.4.B

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 →

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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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Write and solve two-step inequalities about cookie tins, a party and car washes, then state the limit. The directions on the page read: Use any letter for the number of items. Write an inequality, solve it in the box, and give the whole-number limit in words, such as at least 4 tickets. 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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Worksheet Details

Grade7th Grade
SubjectMath
TopicAlgebra
Standard7.EE.B.4.B
Pages1 page
DifficultyMedium

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