Changing Words into Math | Setting Up and Solving Equations | Summary

Changing Words into Math
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CA GR7 AF 1.1 &1.4 & 4.1

In order to be able to solve word problems, you will first learn how to change "words" into "math expressions."  When you are able to do that, you can then make equations that allow you to solve problems.

For example: What is seven decreased by four?

The math expression is: 7 - 4

Then, to form an equation, you could let x be the unknown, and write: 

7 - 4 = x

And solve the equation: 3 = x (or x = 3)

Here's another one: What is 16 increased by
5 times x ?

The math expression is: 16 + 5x  (Here, we can't yet write an equation, because we need more clues about x).

What is five less than eight?

Let x  be the number we're looking for.  Then,  x = 8 - 5

And so x = 3

What is 14 less than 8 times x ?

The math expression: 8x - 14

And here are more: What is 7 increased by three times a number? Let x  be the number. Then the expression is: 3x + 7

What is 8 less than a number divided by 7?

Let x  be the number.  

Then  - 8

What is 5 times x plus twice
y ?

5x + 2y

What is 11 more than x times y ?

xy + 11

Now, let's stop and take Practice Exercise 12-1, Practice Exercise 12-1-a.

For additional instructional material and practice exercises on this subject, go to:
www.mathgoodies.com/lessons/vol7/equations.html.

 

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