**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