Write the phrase as an algebraic expression and simplify if possible. Let x represent the...

Write the phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.

EXAMPLE 7

Write the phrase below as an algebraic expression. Then simplify if possible.

“Subtract 4x − 2 from 2x − 3.”

Solution

“Subtract 4x − 2 from 2x − 3” translates to 12x − 32 − 14x − 22. Next, simplify the algebraic expression.

EXAMPLE 8

Write the following phrases as algebraic expressions and simplify if possible. Let x represent the unknown number.

a. Twice a number, plus 6

b. The difference of a number and 4, divided by 7

c. Five added to triple the sum of a number and 1

d. The sum of twice a number, 3 times the number, and 5 times the number

Solution

a.

b.

c.

Next, we simplify this expression.

d. The phrase “the sum of” means that we add.

Now let’s simplify.

Double a number, minus the sum of the number and ten