Mr. Feliz

There are two steps to solving math word problems:

(A) Translate the wording into a numeric equation
that combines smaller "expressions"

(B) Solve the equation


Addition Samples:
 
10 + x, y + 45
 
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Subtraction Samples:
 
y - 16, 25 - x
 
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Division Samples:
 
15/x,  R ÷ 600
 
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Multiplication Samples:

 
15x, 20*x, x(45)
 
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Key words for addition:

increased by; more than; combined together; total of; sum; added to
 
The above words indicate addition.
 
Sample A:
 
What is the sum of 40 and w?
 
Answer: 40 + w or w + 40
 
Sample B:
 
Express the number x of toy cars increased by 20.
 
Answer: x + 20 or 20 + x
 
Sample C:
 
Express the total weight of x and y.
 
Answer:  x + y or y + x
 
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Key words for Subtraction :

less than, fewer than, reduced by, decreased by, difference of
 
When you see these words, the question is about subtraction.
 
Sample A:
 
What is 50 less than R?
 
Answer: R - 50
 
Sample B:
 
What is R less than 50?
 
Answer: 50 - R
 
See the difference between Sample A and B?
 
Sample C:
 
What is the difference of my weight w and Janet's weight J?
 
Answer: w - J
 
Testing Your Undertanding:  Why is the expression J - w wrong in this case?
 
Think before you answer.
 
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Key words for multiplication:

of, times, multiplied by

 
The above words indicate multiplication.
 
Sample A:
 
What is u multiplied by 60?
 
Answer: 60u or u60....Numbers next to letters indicate multiplication in the world of math.
 
Is this clear?
 
Sample B:
 
Four cars averaged h hours.
 
Answer: 4h or h4
 
Sample C:
 
I drive my car at 65 miles per hour.  How far will I go in k hours?
 
Answer: 65k or k65
 
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Key words for division: 
 
per, a; out of; ratio of, quotient of; percent (divide by 100)
 
The above words indicate division.
 
Sample A:
 
What is the quotient of M and 6?
 
Answer: M/6 or M ÷ 6
 
Sample B:
 
Four students rented a boat for d dollars per hour.
 
What will each student pay?
 
Answer: d/4 or d ÷ 4
 
Sample C:
 
T items cost a total of $50.
 
Express their average cost.
 
Answer: $50/T or $50 ÷ T
 
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Practice for You:
 
(1) What is the sum of 50 and F?
 
(2) Express the number z of bikes decreased by 4.
 
(3) What is L times 100?
 
(4) What is the quotient of H and 500?
 
Mr. Feliz
 
 
 
 
 
 
Nora
I have not finished but this is not average:

Four cars averaged h hours.
 
Answer: 4h or h4
Cathi
Hi Nora,

I think I need a bit more information. Is there more to the problem?
Deleting Attachment...