1. Objective
translate verbal phrases into expressions.

2. Section 1.3, Write Expressions
a collection of numbers and or variables that can be linked by +, -, x, and ÷
5 ÷ x
13 *
y² – 8
11 x 9

3. Writing Expressions Operation Verbal Phrase Expression Addition
Subtraction
Multiplication
Division
Sum, plus, total,
more than,
increased by
5 + n k + 12
Difference, less than,
minus, decreased by
12 – p x – 12
Product, times,
of, multiplied by
3 x d
(n)(w) p ∙ k
Quotient, divided by,
divided into
k/ ÷ r

4. Translate verbal phrases into expressions
4 less than the quantity 6 times a number n
6n – 4 b.
3 times the sum of 7 and a number y
3(7 + y) c.
The difference of 22 and the square of a number m
22 – m2
10 + x 2 d.
The quotient when the quantity 10 plus
a number x is divided by 2

5. RATE –
a fraction that compares two quantities of different measurement.
Examples of rates: speed, distance, wages
45miles
hour
5 meters
second
8 dollars
hour
A UNIT RATE is a
rate that has a
denominator of 1.

6. Finding a Unit Rate EXAMPLE 4
A car travels 110 miles in 2 hours. Find the unit rate.
110 miles
2 hours =
1 hour
55 miles
2 hours 2
110 miles 2

7. Your basic monthly charge for cell phone service is $30, which includes 300 free minutes. You pay a fee for each extra minute you use. One month you paid $3.75 for 15 extra minutes. Find your total bill if you use 22 extra minutes.
STEP 1 Calculate the unit rate. 15
3.75 =
0.25 1 =
$.25 per minute
STEP 2
Write a verbal model and then an expression. Let m be the number of extra minutes. m
STEP 3
Evaluate the expression when m = 22.
(22) = 35.5
Total Bill: $35.50