Transcript Page 16 Tranlating Words

6.3.5 Translating words
to algebraic expression
Algebraic Expressions
Expressions that contain at least one
variable
PROBLEM:
Twice a number decreased by seven
Keywords
Refer to previously learned keywords for
adding, subtracting, multiplying, and
dividing
Sum
Difference
Product
Quotient
Half
Less than
More than
Subtracted from
Rules
Read each problem the way you
read a book
 Underline keywords and numbers
 “more than” or “less than” means
flip the problem
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Examples
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3 less than a number n
5 more than p
product of 7 and y
Translate into an algebraic
expression
Two times the sum of m and
8
2(m+8)
Examples
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One more than the product of 12 and a
number p
4 less than the quotient of double z and 3
Six minus the quotient of m and 2
Subtract 6 from e. Then, divide by 2.
The sum of five times h and twice g
Answers
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1 + 12p
2z/3 - 4
6- m/2
(e-6) / 2
5h + 2g
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4 times a number cubed decreased by 7
the quotient of nine less than x and twice x
15 less than a number squared
three plus the sum of the squares of w and x
One-fourth the sum of r and ten is identical
to r minus 4
Answers
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4n3 – 7
(x-9) / (2x)
N2 – 15
3 + w2 + x2
¼ (r+10) = r - 4