1. 1.4 Translating Words into Symbols Objective: To translate phrases into variable expressions and to translate word sentences into equations. Warm – up: Solve each equation if x ϵ {0, 1, 2, 3, 4, 5} x – 3 = 16 – x = 3 Adam in 9 in. shorter than Jeff. If Jeff’s height is x in., then Adam’s height is _______ in.

2. 1.4 Translating Words into Symbols Addition Some common words that are used to describe addition are: – Sum of – Increased by – More than Subtraction Some common words that are used to describe subtraction are: – Difference – Decreased by – Less than – Minus

3. 1.4 Translating Words into Symbols Multiplication Some common words that are used to describe multiplication are: – Product of – Times – Of Division Some common words that are used to describe division are: – Quotient of – Divided by

4. 1.4 Translating Words into Symbols Subtracting When dealing with the words that mean subtracting, be careful of how they are phrased. “Five less than a number” is translated to: “The difference between four and a number” is translated to: “A Number” The words “a number” stand for a variable, any variable. Typically, the most commonly used variable is x. If the variable is told to you, you must use that variable.

5. 1.4 Translating Words into Symbols Eight times a number Five more than a number A number decreased by four Nine less than half a number The product of three and a number

6. 1.5 Translating Sentences into Equations Twelve more than the number p is 37. Eight is five less than twice the number r. Forty decreased by the number m is 24.5.

7. 1.5 Translating Sentences into Equations The quotient of the number b and 4 is eight. Three fourths of the number h is 192. The sum of one third of the number s and 12 is 23. The product of 7 and the sum of twice the number x and 3 is 126. The product of 58 and the number n is 1. The product of 12 and the quantity 1 less than the number d is 84.

8. 1.4 Translating Words into Symbols A dozen eggs cost $1.19. (Cost of one egg) Nine days ago a new radio station had been on the air for 13 days. (Station’s age now) Homework: – Pg. 16 Written Exercises #1 – 15 odd, 17 – 26 all – Pg. 20 Written Exercises #9 – 16 all