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Inequality Constraint or Condition Word Problems

Answer Keys Here

Aligned To Common Core Standard:

Grade 6 Expressions and Equations - 6.EE.B.8

What Is an Inequality Constraint or Condition? Comparing numbers is a concept that is an important one since it will help students in solving complex equations in higher classes. The major part of learning inequality is to understand the concept of inequality constraints. There are four types of inequality constraints, namely less than (<), greater than (>), less than and equal (≤), and greater than and equal (≥). Just like its name, it helps us to understand the value of the unknown variable. Let us take an example. Charlotte Bobcats, on their first NBA game, scored 84 points and lost the match. On the other hand, on their second game of the season, they again scored 84 points and won the game. So, what was the difference between the two games? Charlotte Bobcats vs. Houston Rockets = 84 points to 87 points; 84 < 87 Charlotte Bobcats vs. Toronto Raptors = 84 points to 79 points ; 84 > 79 Here, we can see that Bobcats scored 84 points in both games; however, their opponents scored different points in both games. Therefore, we have used inequalities to display the point difference between both teams in both games. These worksheets and lessons will help students understand the constraints and conditions under which an inequality can be accepted.

Printable Worksheets And Lessons

Homework Sheets

You never realize how often you use inequalities on a daily basis until you write problems like these.

  • Homework 1 - John wants to order pairs of shoes. Each pair of shoes costs $500 and there is a $0.20 merchant fee for each pair. John has $1,550 to spend.
  • Homework 2 - For the surprise party of his friend, Patricia has to spend $400. The party charges $200 and $9.50 for each person.
  • Homework 3 - Kathryn can spend $20 at the movies. The entry fee is $10 and each drink inside costs $5.

Practice Worksheets

Each practice sheet presents with three two-part questions.

  • Practice 1 - Write an inequality that represents her situation.
  • Practice 2 - At the party, Ashley has $50 to spend. So she ordered burgers that cost $5 and pizza that costs $12.
  • Practice 3 - Smith is selling trousers and shirts. The trousers cost $40 and a shirt costs $30. He needs to make at least $700.

Math Skill Quizzes

I tried to keep the vocabulary to a minimum here, so that the kids don't get tripped up on that.

  • Quiz 1 - At the hotel, they charge $50.00 for a room and $30 per person in the room. Laura wants to go to this hotel with family members and she can spend only $200.
  • Quiz 2 - Arnold is selling computers and printers. The computer costs $200 and a printer costs $150.
  • Quiz 3 - Paul wants to order a statue on the Internet. Each statue costs $45 and shipping for the entire order is $5.25.