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Warm Up ) 7x + 4 for x = 6 2.) 8y – 22 for y = 9 46

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1 Warm Up ) 7x + 4 for x = 6 2.) 8y – 22 for y = 9 46
Evaluate each algebraic expression for the given value of the variables. ) 7x + 4 for x = 6 2.) 8y – 22 for y = 9 3.) 12x + for x = 7 and y = 4 4.) y + 3z for y = 5 and z = 6 46 50 8 y 86 23

2 Do Now Simplify the following expression: 3x (x + y – 3)

3 Writing Algebraic Expressions
Objective: Be able to write an algebraic expression for a word phrase or write a word phrase for an expression.

4 Although they are closely related, a Great Dane weighs about 40 times as much as a Chihuahua.
An expression for the weight of the Great Dane could be 40c, where c is the weight of the Chihuahua. When solving real-world problems, you will need to translate words, or verbal expressions, into algebraic expressions.

5 Notes In order to translate a word phrase into an algebraic expression, we must first know some key word phrases for the basic operations.

6 With a Partner, come up with 3 words or phrases that represent:
Addition Subtraction Multiplication Division

7 Addition Phrases: More than Increase by Greater than Add Plus Sum

8 Subtraction Phrases: Decreased by Difference between Take Away Minus
Less than

9 Multiplication Phrases:
Product Times Multiply Groups of Twice or double Triple

10 Division Phrases: Quotient Divided by Split equally

11 Quantity Quantity: is defined as an amount, measure or number.
Write this as an expression: x times the quantity of 5 subtracted from 9 Answer: x(9-5)

12 Notes Multiplication expressions should be written in side-by-side form, with the number always in front of the variable. 3a t c f

13 Notes Division expressions should be written using the fraction bar instead of the traditional division sign.

14 Examples Addition phrases: 3 more than x the sum of 10 and a number c
a number n increased by 4.5

15 Examples Subtraction phrases: a number t decreased by 4
the difference between 10 and a number y 6 less than a number z

16 Examples Multiplication phrases: the product of 3 and a number t
twice the number x 4.2 times a number e

17 Examples Division phrases: the number y divided by 2 2.5 divide g
the quotient of 25 and a number b the number y divided by 2 2.5 divide g

18 Examples converting f feet into inches
a car travels at 75 mph for h hours the area of a rectangle with a length of 10 and a width of w

19 Examples converting i inches into feet
the cost for tickets if you purchase 5 adult tickets at x dollars each the cost for tickets if you purchase 3 children’s tickets at y dollars each


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