Download Algebra Lesson 1-3 Notes: Write Expressions Name Learning

Algebra Lesson 1-3 Notes: Write Expressions
Name _________________________________
Learning Target: By the end of today’s lesson we will be able to successfully give a verbal description of an
expression that is presented in symbolic form and write an algebraic expression from a
verbal description.
Operation
Addition:
sum, plus, total, more than, increased by
Subtraction:
difference, less than, minus, decreased by
Verbal Phrase
The sum of 3 and a number x
Expression
A number m plus 9
The difference of a number c and 5
A number z minus 4
Multiplication:
times, product, of, multiplied by
15 times a number w
1
4
Division:
Quotient, divided by, divided into
of a number b
The quotient of a number r and 2
Example 1: Translate the verbal phrase into an expression.
a.) 8 times a quantity 4 plus a number n
b.) 12 decreased by a number x
c.) The quotient of the square of a number j and 5
Example 2: The length of a building is 20 feet more than its width w. Write an expression for the length of the building.
Example 3:
a.) Ashley and 4 friends meet to have dinner at a restaurant. Everyone decides to order the nightly
special. Write an expression for the total cost of the meals, where s is the cost of the nightly special.
b.) Sean works with 5 other people at an ice cream stand. All of the workers put their tips into a jar and
share the amount in the jar equally at the end of the day. Write an expression for each person’s share
(in dollars) of the tips.

Rate: _____________________________________________________________________________________

Unit rate: if the denominator of the fraction is 1 unit
Example 4: A 16 oz. box of cereal costs $2.99. Find the unit rate to the nearest cent.
Example 5: Kim has a membership to a local ski club. The membership costs her $40 per month, which includes 10
lift passes. Kim must pay a fee for each lift pass after the tenth one. Two months ago she paid $13.50 for
3 extra lift passes. Find Kim’s total cost for last month if she bought 7 extra lift passes.