1. Bell Quiz

2. Objectives
Learn to equate words and phrases with operations.

3. Translating Between Words and Algebraic Expressions
Algebraic expressions, or variable expressions, are expressions that contain at least one variable.
A numeric expression contains only numbers and operations.

4. Translating Between Words and Algebraic Expressions
Phrases
Expressions
Addition
sum, total, more than, added, increased, plus
4 added to a number
7 increased by a number.
x + 4
7 + x
Subtraction
less, minus, decreased by, difference, less than
the difference of 5 and a number
8 less than a number
5 – x
x – 8
Multiplication
product, times, multiplied
the product of a number and 12
a number times 3
12(x) 3x
Division
quotient, divided by, divided into
the quotient of a number and 6
10 divided by a number
x ÷ 6 10 x

5. Example 1 Translating Words into Algebraic Expressions
Write an algebraic expression for each phrase.
y increased by 12
the product of x and 4

6. Lesson Practice
Write an algebraic expression for each phrase. the product of x and 8

7. Lesson Practice
Write an algebraic expression for each phrase. 18 minus y

8. Example 2 Translating Words into Algebraic Expressions
Write an algebraic expression for each phrase.
8 less than the quotient of m and 15
b. James is 6 years younger than Lydia, who is x years old. Write the expression that shows James’s age.

9. Lesson Practice
Write an algebraic expression for each phrase. 7 more than 5 times x

10. Lesson Practice
Write an algebraic expression for each phrase. Raquel is 2 years older than Monica, who is x years old. Write the expression that shows Raquel’s age.

11. Example 3 Translating Algebraic Expressions into Words
Use words to write each algebraic expression in two ways.
m + 7
y – 9

12. Lesson Practice
Use words to write each algebraic expression 10 s

13. Lesson Practice
Use words to write each algebraic expression 5 – r

14. Example 4 Translating Algebraic Expressions into Words
Use words to write each algebraic expression in two ways.
5 ∙ n
x ÷ 3

15. Lesson Practice
Use words to write each algebraic expression 3m + 7

16. Lesson Practice
Use words to write each algebraic expression
x – 3 2

17. Example 5 Application: Savings
Jayne is saving money to buy a car. She has x dollars saved and is saving y dollars per week. Write an algebraic expression to represent the total amount of money she will have saved after 52 weeks.

18. Lesson Practice
Jon has d dollars in a savings account. He withdraws x dollars each week for 15 weeks. Write an algebraic expression to represent the amount of money that will be left in the savings account at the end of the 15 weeks.