Bell Quiz

Objectives Learn to equate words and phrases with operations.

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.

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

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

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

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

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.

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

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.

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

Lesson Practice Use words to write each algebraic expression 10 s

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

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

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

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

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.

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.