writing equations to solve word problems. one way to solve word problems is to look for key words to...
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![Page 1: Writing Equations to solve Word Problems. One way to solve word problems is to look for key words to help you write an equation. You must decide what](https://reader033.vdocuments.site/reader033/viewer/2022051401/5697bff91a28abf838cbf8fc/html5/thumbnails/1.jpg)
Writing Equations to solve
Word Problems
![Page 2: Writing Equations to solve Word Problems. One way to solve word problems is to look for key words to help you write an equation. You must decide what](https://reader033.vdocuments.site/reader033/viewer/2022051401/5697bff91a28abf838cbf8fc/html5/thumbnails/2.jpg)
One way to solve word problems is to look for key words to help you write
an equation.
You must decide what the variable represents – it should be what you are
trying to find!
Here are two sample word problems and solutions:
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You have a suitcase that can hold up to 23 kilograms. You are
packing clothes and want to make sure you have space left over for a PlayStation you plan to buy before
your trip. If the PlayStation weighs 3.75 kg, how many clothes
can you pack?
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Clothes + Playstation = Total weight
x + 3.75 = 23
- 3.75 - 3.75
x = 19.25 kg
Let x = amount of clothes
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John is 3 years less than twice his sister’s age. If John is 11, how old is his
sister?
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John’s age
twice his sister’s age
3 years less than
11 = 2s - 3
Let s = sister’s age
Note: A common key word that indicates where to put the equal sign is the word ‘IS’
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Another way to solve word problems is to organize the information.
For example, you may find it useful to create a table.
Here is a sample word problem and solution:
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Here is a table with information from the first sentence filled in algebraically.
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Now information from the second sentence is included algebraically.
![Page 11: Writing Equations to solve Word Problems. One way to solve word problems is to look for key words to help you write an equation. You must decide what](https://reader033.vdocuments.site/reader033/viewer/2022051401/5697bff91a28abf838cbf8fc/html5/thumbnails/11.jpg)
An equation is written from the information in the table.
![Page 12: Writing Equations to solve Word Problems. One way to solve word problems is to look for key words to help you write an equation. You must decide what](https://reader033.vdocuments.site/reader033/viewer/2022051401/5697bff91a28abf838cbf8fc/html5/thumbnails/12.jpg)
Finally, solve the equation to find the answer:
h + 8 + 5 = 2 ( h + 5)
h + 13 = 2h + 10 -h -h
13 = h + 10 -10 -10
3 = h
Therefore, Chuck is 3 and Cara is 11!
![Page 13: Writing Equations to solve Word Problems. One way to solve word problems is to look for key words to help you write an equation. You must decide what](https://reader033.vdocuments.site/reader033/viewer/2022051401/5697bff91a28abf838cbf8fc/html5/thumbnails/13.jpg)
Try this strategy!
Cross out with pencil (or highlight) the information as you use the information in your chart or diagram.
Highlight (in a different color) what is left and use this to write your equation.
Solve the equation and answer the problem.
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Write equations for the following problems on
a white board.Check your answers on the following slide.
![Page 19: Writing Equations to solve Word Problems. One way to solve word problems is to look for key words to help you write an equation. You must decide what](https://reader033.vdocuments.site/reader033/viewer/2022051401/5697bff91a28abf838cbf8fc/html5/thumbnails/19.jpg)
Seven more than three times a number is 31
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7 + 3n = 31
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The quotient of a number and 9 increased by 3
is -7
![Page 22: Writing Equations to solve Word Problems. One way to solve word problems is to look for key words to help you write an equation. You must decide what](https://reader033.vdocuments.site/reader033/viewer/2022051401/5697bff91a28abf838cbf8fc/html5/thumbnails/22.jpg)
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The width of a singles tennis court is 27
feet. This is one foot more than one-third
of the length.
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Joanne starts with $5 in her savings account and adds $10 every week. Write an expression with a variable
that tells how much she will have in her account after n
weeks.
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How much will Joanne have in her savings account after 9
weeks?
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