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Translating Verbal Phrases to Mathematical Phrase

TRANSLATING WORDS

KEYWORDS FOR EXPRESSIONS

Learn the magic words that turn English into Math!

What Does This Mean?

In algebra, certain keywords tell you which operation to use. Master these words and you can turn any word problem into an algebraic expression!

+ Addition
Sum
Plus
More than
Increased by
Total
Added to
− Subtraction
Difference
Minus
Less than
Decreased by
Subtracted from
× Multiplication
Product
Times
Of
Twice
Double
Multiplied by
÷ Division
Quotient
Divided by
Half
Third
Ratio
Split into

Watch Out! Words with "than" REVERSE the order!

"5 less than x" means x − 5, NOT 5 − x

"7 more than n" means n + 7, NOT 7 + n

Tip: "Subtracted from" also reverses! "3 subtracted from 10" = 10 − 3

Translation Examples

"The sum of 4 and x" → 4 + x

"5 less than y" → y − 5 (reversed!)

"The product of 3 and m" → 3m

"Twice a number n, increased by 7" → 2n + 7

"Half of a number k" → k ÷ 2

See the pattern? Read carefully, translate word by word!

Quiz Time!

Read each question carefully. Watch out for tricky "than" words!

PART 1Multiple Choice
1

Which of these keywords indicates ADDITION?

2

"The product of 6 and m" translates to:

3

What operation does "quotient" indicate?

4

"5 less than x" translates to:

5

"Twice a number n" translates to:

PART 2Solve It!
6

Translate: "3 more than a number". If the number is 7, what is the value?

7

Translate: "The difference of 20 and a number". If the number is 8, what is the value?

8

Translate: "The product of 4 and a number, increased by 5". If the number is 3, what is the value?

9

Translate: "Half of a number". If the number is 18, what is the value?

10

Translate: "A number decreased by 6, then multiplied by 2". If the number is 10, what is the value?

Answer all questions first before submitting!
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Made for students who want to master translating words into expressions

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