Write a numerical expression for the phrase and simplify. See Example.EXAMPLE Translating...

Write a numerical expression for the phrase and simplify. See Example.

EXAMPLE Translating Words and Phrases (Addition)

Write a numerical expression for each phrase, and simplify the expression.

(a)

(b)

EXAMPLE Translating Words and Phrases (Subtraction)

Write a numerical expression for each phrase, and simplify the expression.

(a) The difference between −8 and 5

When “difference between” is used, write the numbers in the order given.*

−8 − 5 simplifies to −8 + (−5), or −13.

(b) 4 subtracted from the sum of 8 and − 3

First, add 8 and −3. Next, subtract 4 from this sum.

[8 + (−3)] − 4 simplifies to 5 − 4, or 1.

(c) 4 less than −6

Here, 4 must be taken from −6, so write −6 first.

Notice that “4 less than −6” differs from “4 is less than −6.” The second of these is symbolized 4<−6 (which is a false statement).

(d) 8, decreased by 5 less than 12

First, write “5 less than 12” as 12 − 5. Next, subtract 12 − 5 from 8.

8 − (12 − 5) simplifies to 8 − 7, or 1.

The difference between 4 and −8