There are two steps to solving math word problems:
(A) Translate the wording into a numeric equation(B) Solve the equation
that combines smaller "expressions"
10 + x, y + 45
y - 16, 25 - x
15/x, R ÷ 600
15x, 20*x, x(45)
Key words for addition:
increased by; more than; combined together; total of; sum; added to
The above words indicate addition.
What is the sum of 40 and w?
Answer: 40 + w or w + 40
Express the number x of toy cars increased by 20.
Answer: x + 20 or 20 + x
Express the total weight of x and y.
Answer: x + y or y + x
Key words for Subtraction :
less than, fewer than, reduced by, decreased by, difference of
When you see these words, the question is about subtraction.
What is 50 less than R?
Answer: R - 50
What is R less than 50?
Answer: 50 - R
See the difference between Sample A and B?
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.
Key words for multiplication:
of, times, multiplied by
The above words indicate multiplication.
What is u multiplied by 60?
Answer: 60u or u60....Numbers next to letters indicate multiplication in the world of math.
Is this clear?
Four cars averaged h hours.
Answer: 4h or h4
I drive my car at 65 miles per hour. How far will I go in k hours?
Answer: 65k or k65
Key words for division:
per, a; out of; ratio of, quotient of; percent (divide by 100)
The above words indicate division.
What is the quotient of M and 6?
Answer: M/6 or M ÷ 6
Four students rented a boat for d dollars per hour.
What will each student pay?
Answer: d/4 or d ÷ 4
T items cost a total of $50.
Express their average cost.
Answer: $50/T or $50 ÷ T
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?