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 = 1 6 – x = 3

Adam in 9 in. shorter than Jeff. If Jeff’s height is x in., then Adam’s height is _______ in.

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

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

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.

5x

4 x

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

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.

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.

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