How Do You Solve a Word Problem Using a Multi-Step Inequality?

How Do You Solve a Word Problem Using a Multi-Step Inequality?

Note:

This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

Keywords:

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  • inequality
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  • order of operations
  • reverse order of operations
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  • multiple steps
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  • solve by multiplication
  • solve by addition
  • solve by division
  • division property of inequality
  • multiplication property of inequality
  • subtraction property of inequality
  • negative
  • negative numbers
  • flip inequality
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  • inequality word problem multi step example

Background Tutorials

  • Evaluating Expressions

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Translating Between Words and Math

  • Working with Integers

      • What's an Inequality?What's an Inequality?

      What's an Inequality?

      Inequalities come up all the time when you're working algebra problems. In this tutorial you'll learn what an inequality is, and you'll see all the common inequality symbols that you're likely to see :)

  • Translating Between Words and Math

      • How Do You Write an Equation from a Word Problem?How Do You Write an Equation from a Word Problem?

      How Do You Write an Equation from a Word Problem?

      Having difficulty turning a word problem into an algebra equation? Then this tutorial is for you! With this tutorial, you'll learn how to break down word problems and translate them into mathematical equations.

  • Solving Inequalities by Dividing

      • What's the Division Property of Inequality?What's the Division Property of Inequality?

      What's the Division Property of Inequality?

      Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the division property of inequality, and it basically says that if you divide one side of an inequality by a number, you can divide the other side of the inequality by the same number. However, you have to be very careful about the direction of the inequality! Watch the tutorial to see how this looks in terms of algebra!

  • Solving Multi-Step Inequalities

Further Exploration

  • Solving Inequalities by Multiplying

      • How Do You Use Multiplication with Positive Numbers to Solve an Inequality Word Problem?How Do You Use Multiplication with Positive Numbers to Solve an Inequality Word Problem?

      How Do You Use Multiplication with Positive Numbers to Solve an Inequality Word Problem?

      This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.