# The product of a number and 3 n 3 the quotient of 3

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the product of a number and 3 n÷the quotient of 3 and a number 44 times a number na number divided by 3 2twice a number 3 ÷4. IN YOUR OWN WORDS How can you write an expression that represents an unknown quantity? Give examples to support your explanation.3p3mnACTIVITY: Words That Imply Multiplication or Division3Use ExpressionsHow do the key words in the phrase help you write the given relationship as an expression?Math Practice
120Chapter 3Algebraic Expressions and PropertiesLesson3.2Some words imply math operations.OperationAdditionSubtractionMultiplicationDivisionKey Words and Phrasesadded toplussum ofmore thanincreased bytotal ofandsubtracted fromminusdifference ofless thandecreased byfewer thantake awaymultiplied bytimesproduct oftwiceofdivided byquotient ofWrite the phrase as an expression.a. 8 fewer than 2121 8 The phrase fewer thanmeans subtraction.b. the product of 30 and 930 ×9, or 30 9 The phrase product ofmeans multiplication.EXAMPLEWriting Numerical Expressions1When writing expressions involving subtraction or division, order is important. For example, the quotient of a number xand 2 meansx÷2, not 2 ÷x.Common ErrorWrite the phrase as an expression.a. 14 more than a number xx+ 14 The phrase more thanmeans addition.b. a number yminus 75y75 The word minusmeans subtraction.c. the quotient of 3 and a number z3 ÷z, or 3zThe phrase quotient ofmeans division.Write the phrase as an expression. 1. the sum of 18 and 35 2. 6 times 503. 25 less than a number b4. a number xdivided by 45. the total of a number tand 11 6. 100 decreased by a number kEXAMPLEWriting Algebraic Expressions2Exercises 3–18Lesson Tutorials
Section 3.2Writing Expressions 121The length of Interstate 90 from the West Coast to the East Coast is 153.5 miles more than 2 times the length of Interstate 15 from southern California to northern Montana. Let mbe the length of Interstate 15. Which expression can you use to represent the length of Interstate 90?
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.EXAMPLEWriting an Algebraic Expression3
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You plant a cypress tree that is 10 inches tall. Each year, its height increases by 15 inches.a. Make a table that shows the height of the tree for 4 years. Then write an expression for the height after tyears.b. What is the height after 9 years?
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7. Your friend has 5 more than twice as many game tokens as your sister. Let tbe the number of game tokens your sister has. Write an expression for the number of game tokens your friend has.
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