G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

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Year 8 Interactive Maths - Second Edition


Problem Solving 1

Linear equations help us to solve word problems.  First, we assume that the number we are trying to find is represented by a pronumeral.  Then the problem given in words is translated into an equation which is solved using the methods we have learned for solving equations.  Finally, we write the answer in words.


Example 7

A number is added to 85 and the result is 172.  Find the number.

Solution:

Let the number be x.

So, the number is 87.


Check:


Remember:

To solve a word problem:

  • Read the problem.
  • Assume that the unknown is x or another suitable pronumeral.
  • Write an equation using the information provided in the problem.
  • Solve the equation by using inverse operations.
  • Write your answer in words.

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