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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.
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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
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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
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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
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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
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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.
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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.
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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