Section 2 5 Translating English Phrases into Algebraic

Translating Phrases into Expressions English Phrase greater than increased by more than added to sum of less than decreased by smaller than fewer than shorter than difference of Represented by + Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. 2

Translating Phrases into Expressions English Phrase multiplied by of product of times divided by

Translating Phrases into Expressions English Phrase is was has costs equals represents amount to

Example Write each English phrase as an algebraic expression. a. Twelve more than a number 12 + x b. Eight less than a number x– 8 b. Six less than one-third of the sum of a number and four Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. 5

Example An expression may be written for several quantities using the same variable. “The necklace costs $45 more than the bracelet. ” Let b = the cost of the bracelet. Let b + 45 = the cost of the necklace. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. 6

Example Use the letter A to write an algebraic expression for each quantity. During the summer, Nancy read twice as many books as Andy. Marty read five more books than Andy. Let A = the number of books Andy read. Let 2 A = the number of books Nancy read. Let 5 + A = the number of books Marty read. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. 7

Example Write an algebraic expression for each quantity. The first angle of a triangle is 20 degrees more than the third angle. The second angle is double third angle. Let x = the third angle. Let x + 20 = the first angle. Let 2 x = the second angle. x + 20 2 x Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. x 8