Which Values Make an Inequality True
Written by Adi Ackerman, Head Teacher
"Which Values Make an Inequality True" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.EE.B.5. If your student is a year younger but already steady on algebra, the page still works. You may just need to read the instructions out loud. And if they are older and inequalities never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: test 5 values in each of 10 inequalities like x + 4 > 11 and circle every value that makes it true. Answer key included. Part of our inequalities algebra collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with the page that tests values so students see that an inequality has many solutions. Then write and graph, and use the number line reading page as a check.
What students will practice
- Students will substitute 5 values into each of 10 inequalities.
- Students will circle every value that makes the inequality true, such as for 3y at most 21.
- Students will test decimal values, such as 7.5 in 0.5t at least 4.
Curriculum Links
Common Core State Standards
Expressions and Equations · 6th Grade
Standard: Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
View all 6.EE.B.5 worksheets →Find this in the curriculum
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FAQ
How do I use this inequalities worksheet?
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Start with the page that tests values so students see that an inequality has many solutions. Then write and graph, and use the number line reading page as a check.
What does this worksheet teach?
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Test 5 values in each of 10 inequalities like x + 4 > 11 and circle every value that makes it true. A solution of an inequality is any value that makes it true, so an inequality can have many solutions. The directions on the page read: Put each value in for the variable. Circle every value that makes the inequality true. 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 6th Grade algebra, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with inequalities. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
What is the difference between an open and a closed circle?
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A closed circle means the number is included, for at most or at least. An open circle means it is not included, for less than or greater than. A graph of x at least 12 uses a closed circle at 12 with an arrow to the right.
Can an inequality have more than one solution?
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Yes. Any value that makes it true is a solution. For x + 4 > 11, the values 8, 11 and 15 work, while 3 and 7 do not.
Do the pages use real situations?
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Yes. Students write inequalities for situations such as Jada having less than 16 dollars left, written as m < 16, and graph them on a number line.
Is there an answer key?
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Yes. All 3 inequalities worksheets have an answer key, including the graphs.
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