How to Solve Two-Step Equations with Fractions

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A man runs a third of a mile per hour. If he was allowed a 8/3 mile marker in a race, how long would take him to complete the full 10 mile race?

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1. What is the main procedure for solving two-step equations?

2. What is the alternative method of solving two-step equations with fractions that eliminates the fractions first?

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About This Quiz & Worksheet

This quiz/worksheet challenges your knowledge of the process of solving two-step equations with fractions. You'll check what you know about the steps, alternative ways to solve and your ability to solve sample problems for the right answer.

Quiz & Worksheet Goals

This quiz/worksheet is designed to assess your knowledge of:

  • Understanding the steps for solving these problems
  • The main procedure for solving two-step equations
  • An alternative way that eliminates the fractions first
  • Solving a word problem

Skills Practiced

  • Knowledge application - check what you know about the main procedure for solving two-step problems to answer a question about it
  • Information recall - see if you can recall an alternative method that involves resolving the fractions first
  • Interpreting information - verify that you read and correctly interpreted how to set up an equation from a word problem

Additional Learning

There is a full explanation of this topic in the provided lesson, How to Solve Two-Step Equations with Fractions. In this lesson, you will review more detail about:

  • What happens when you perform an action on one side of the equation
  • Identifying the two steps
  • The number of steps in the alternative method
  • Applying these ways of solving equations to a real-world problem
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