Title: Writing Algebraic Expressions to Solve Word Problems.
1Writing Algebraic Expressions to Solve Word
Problems.
How many minutes in 1 hour, 14 hours, in "n"
hours?
2Algebra 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.
4You 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
5Now 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!
6Now 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!
7New 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?
8How 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!
9How 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.
10Homework
- You KNEW it was coming!
- ?
11Using 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)
12This Slide Show can be found on my wiki at
- http//meehanwiki.wikispaces.com/7thGrade-Mrs.O
lds-Math