Lesson - Translate Phrases to Mathematical Expressions

**Translate Phrases to Mathematical Expressions**

Many words and phrases suggest mathematical operations . The following common words and phrases indicate addition, subtraction, multiplication, and division.

Verbal phrases can be translated into variable expressions. Some examples are below.

Whenever possible, select a single variable to represent an unknown quantity. Then express related quantities in terms of the first variable selected.

**Examples**

For each relationship, select a variable to represent one quantity and state what that variable represents. Then express the second quantity in terms of the variable selected.

a) The Kings scored 7 more points than the Rangers.

Let

r= number of points scored by the Rangers

Letr + 7= number of points scored by the Kings

b) Bob and Marc share $65.

Let

a= how much Bob receives.

Let65 - a= amount Marc receives.

**Practice**

Write each statement as an algebraic expression.

1) Kim has 7 more than 5 times the amount Sylvia has.

2) The length of a rectangle is 3 feet less than 4 times its width.

3) Write an expression to represent how much a realtor will earn at a 6% commission on a house that costs *x* dollars.

**Write each problem below as an equation.**

4) The number of cents in *d* dimes is 120.

5) The cost of *x* gallons of gasoline at $3.20 per gallon is $35.20.

6) One train travels 3 miles more than twice the distance another train travels. The total distance traveled by both trains is 800 miles.

**Answer Key**