Translating English Phrases into Algebraic Expressions Section 2.5 Translating English Phrases into Algebraic Expressions

Translating Phrases into Expressions English Phrase Represented by greater than increased by more than added to sum of less than decreased by smaller than fewer than shorter than difference of + 

Translating Phrases into Expressions English Phrase Represented by multiplied by of product of times divided by ratio of quotient of  

Translating Phrases into Expressions English Phrase Represented by 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

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.

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 2A = the number of books Nancy read. Let 5 + A = the number of books Marty read.

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 the third angle. Let x = the third angle. Let x + 20 = the first angle. Let 2x = the second angle. x + 20 2x x