Problem solving using Linear Equations


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question 1 of 3

A store is offering 15% off the price of sunglasses if you buy two pair. If the total cost of two pair, including the discount, is $30.60, then what is the original price of one pair?

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1. Ten less than half a number is 76. What is the number?

2. Scott paddles a canoe upstream against the current in 4 hours, then returns downstream with the current in 1 hour. If the river flows at 3 miles per hour, then what would Scott's paddling speed be in calm water?

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About This Quiz & Worksheet

Some word and real-world problems can be translated into linear equations and solved more easily that way. This quiz and worksheet combo will help you test your knowledge of how to translate problems into linear equations and how to solve these equations.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Finding the price of sunglasses including a discount
  • Calculating paddling speed in a canoe upstream and downstream
  • Solving practice problems involving percentages

Skills Practiced

This quiz and worksheet will allow you to test your skills in the following areas:

  • Reading comprehension - ensure that you've drawn the most important information on how to solve word problems with linear equations from the related lesson
  • Making connections - use your knowledge of linear equations to better understand how to translate word problems into this type of expression
  • Problem solving - use your acquired knowledge to solve linear equation practice problems
  • Information recall - access the knowledge that you've gained about percentages

Additional Learning

To learn more about this topic, review the accompanying lesson titled Problem solving using Linear Equations. This lesson covers the following objectives:

  • Define a linear equation
  • Equate real-world problems you might face to linear equation problems
  • Demonstrate your ability to translate and solve word problems into linear equations