1. Learn to write algebraic expressions.

2.   + – Word Phrases Expression n + 5 x  11 3m a or a  7 7
a number plus 5
add 5 to a number
n + 5
sum of a number and 5
5 more than a number
a number increased by 5
a number minus 11
subtract 11 from a number
x  11
difference of a number and 11
11 less than a number
a number decreased by 11
3 times a number 3m
3 multiplied by a number
product of 3 and a number
a number divided by 7
or a  7 a 7
7 divided into a number
quotient of a number and 7

3. Example 1: Translating from Algebra to Words
Give two ways to write each algebra expression in words.
A r B. q – 3
the sum of 9 and r
the difference of q and 3
9 increased by r
3 less than q
C. 7m D. j  6
the product of m and 7
the quotient of j and 6
m times 7
j divided by 6

4. Additional Examples 1A and 1B: Translating Word Phrases into Math Expressions
Write an algebraic expression for each word phrase.
A. the product of 8 and n
the product of 8 and n
• n 8n
B. w decreased by 9
w decreased by 9
w –
w – 9

5. Try This: Examples 1A and 1B
Write an algebraic expression for each word phrase.
A. the sum of h and 88
the sum of h and 88 h
h + 88
B. the quotient of f and 6
quotient of f and 6
f  f 6

6. Additional Examples 1C and 1D: Translating Word Phrases into Math Expressions
Write an algebraic expression for each word phrase.
C. 3 increased by the difference of p and 5
3 increased by the difference of p and 5
(p – )
3 + (p – 5)
D. 24 decreased by the product of 6 and q
24 decreased by the product of 6 and q
– ( • q)
24 – 6q

7. Additional Example 2: Interpreting Which Operation to Use in Word Problems
A. Jared works for $8 an hour at the store for h hours. Write an expression to determine how much money Jared earned. 8h
Multiply 5 by h hours.
B. How much money will he earn if he works a total of 10 hours?
8 • 10 = 80
Evaluate the expression for h = 10.
Jared earned $80.

8. Try This: Example 2
A. A taxi-cab driver charges a base fee of $2, plus an additional $0.25 per mile. Write an expression to determine the fare. m
$2 plus .25 per mile.
B. If a passenger needs to travel 12 miles, how much money will they need to pay?
(12) =$5
Evaluate the expression for m = 12.
It will cost $5 to travel 12 miles.

9. Additional Example 3B: Writing and Evaluating Expressions in Word Problems
B. The cost to rent out a bowling alley is $240. If the cost will be shared equally among all of the people who attend the party, how much will it cost each person if 12, 20, 40 or 100 people attend?
$240  n
Separate the cost into n equal groups.
240  n
In dollars
n  n Cost
Evaluate for n = 12, 15, 16, and 20.
 $20
 $12
 $6
 $2.50

10. Write an algebraic expression for each word phrase.
Lesson Quiz
Write an algebraic expression for each word phrase.
1. 5 less than a number k
2. a number x divided by 11
3. 4 times the sum of n and 5
Write an algebraic expression and used it to solve the problem.
4. Karen buys n raffle tickets for $0.50 each. If she buys 13 of them, how much will they cost?
k – 5 x 11
4(n + 5)
0.50n; $6.50