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Writing Algebraic Expressions to Solve Word Problems.

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Writing Algebraic Expressions to Solve Word Problems. Algebra is used every day to solve everyday problems. For example: You have a job and you get paid $8.25 an hour. – PowerPoint PPT presentation

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Title: Writing Algebraic Expressions to Solve Word Problems.


1
Writing Algebraic Expressions to Solve Word
Problems.
How many minutes in 1 hour, 14 hours, in "n"
hours?
2
Algebra is used every day to solve everyday
problems.
  • For example
  • You have a job and you get paid 8.25 an hour.
  • You want to figure out how much pay you will
    receive if you worked 16 hours.

3
  • You can write in words, I get paid 8.25 for
    every hour I work.
  • Algebraically, you would write
  • 8.25h
  • which means 8.25 TIMES the number of hours you
    worked.

4
You should always write the formula FIRST for
every question
  • SO, you would write
  • 8.25h pay
  • Then, substitute the number of hours into the
    formula.
  • 8.25(16) p (pay)
  • Calculate the result
  • Your pay would be 132.00
  • Write your answer as p 132.00

5
Now its your turn.
  • Using the formula, calculate your pay if you
    worked
  • 20 hours?
  • 32 hours?
  • 18.5 hours?
  • 22 hours?
  • 110 hours?

Every question must start with the
formula 8.25h p Then substitute into the
formula the hours that you worked. Remember the
answer is MONEY and should be in that form!
6
Now the same question with a twist!
  • If you got paid 189.75, how many hours did you
    work?
  • You get paid 8.25 an hour.
  • You can divide the pay by your rate of pay,
    (8.25) to get the number of hours you worked.
  • Algebraically, it would look like this.

Calculate and you find You worked, 23 hours!
7
New Problems
  • Some problems require that you know basic facts.
  • How many seconds in a minute?
  • How many minutes in an hour?
  • How many hours in a day?
  • How many days in a week?
  • How many days in a year?
  • How many weeks in a year?
  • How many months in a year?
  • How many centimetres in a metre?
  • How many metres in a kilometre?

8
How Many Days in Three Weeks?
  • Since you know that there are 7 days in a week,
    you can write
  • 7 days X the number of weeks the number of days
    in a week.
  • Or Algebraically
  • 7(w) d
  • Substitute into the formula what you know.
  • 7(3) d Calculate d 21
  • There are 21 days in three weeks!

9
How many hours in four days?
  • There are 24 hours in one day.
  • So
  • 24d hours in day
  • 24 (4) h
  • h 96
  • There are 96 hours in 4 days.

10
Homework
  • You KNEW it was coming!
  • ?

11
Using the facts, write a formula for each and
solve.
  • How many days in 3 weeks?
  • How many hours in 4 days?
  • How many cm in 1500 metres?
  • How many months in 13 years?
  • How many weeks in 7 years?
  • How many years in 3250 weeks? (careful)
  • How many years in 250 months? (careful)
  • How many minutes in 4 hours?
  • How many hours in 17 days?
  • How many kilometres in 4509 metres? (careful)

12
This Slide Show can be found on my wiki at
  • http//meehanwiki.wikispaces.com/7thGrade-Mrs.O
    lds-Math
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