Translating Word Phrases to Expressions 1.6 Translating Word Phrases to Expressions 1. Translate word phrases to expressions. 2.5 Translating Word Sentences to Equations 1. Translate sentences to equations using key words, then solve. Copyright © 2011 Pearson Education, Inc.

Translating Phrases Addition Subtraction Multiplication Division sum plus more than added to increased by minus subtracted from difference of less than decreased by less product twice times multiplied by of divided by quotient ratio divided into Order is important!! Order is important!!

Translating Phrases Operation Variable Expression Word Phrases Addition x + 3 Some number plus three Three added to some number The sum of some number and three Three more than some number Some number increased by three

Translating Phrases Operation Variable Expression Word Phrases Subtraction y – 6 Some number minus six Six subtracted from some number The difference of some number and six Six less than some number Some number decreased by six Some number less six

Translating Phrases Operation Variable Expression Word Phrases Multiplication 2a Twice some number Two times some number The product of two and some number Some number multiplied by two Exponents c2 c squared The square of c c to the second power k3 k cubed k to the third power The cube of k Roots The square root of x

Translating Phrases Operation Variable Expression Word Phrases Division Some number divided by five The quotient of some number and five The ratio of some number and five Five divided into some number

Translating Phrases The key words sum, difference, product, and quotient indicate the answer for their respective operations. sum of x and 3 x + 3 difference of x and 3 x – 3 product of x and 3 quotient of x and 3 x  3 or 3x x  3 or

Translating Phrases The product of a number and four Use x for the variable if not specified. The product of a number and four The sum of b cubed and seven Seven added to the quotient of x and y

Translating Phrases A number subtracted from 8 Use x for the variable if not specified. A number subtracted from 8 Nine divided into a number Five more than two times a number

Translating Phrases Seven times the sum of a and b Use x for the variable if not specified. Seven times the sum of a and b The product of five and a number minus the sum of the number and two

Translating Phrases Use x for the variable if not specified. The sum of a and b divided by the difference of a and b

Translate the phrase to an algebraic expression Translate the phrase to an algebraic expression. Twelve less than three times a number a) 3n + 12 b) 12 – 3n c) 3n – 12 d) 3n  12 Copyright © 2011 Pearson Education, Inc. 1.6

Translate the phrase to an algebraic expression. Twelve less than three times a number a) 3n + 12 b) 12 – 3n c) 3n – 12 d) 3n  12 Copyright © 2011 Pearson Education, Inc. 1.6

a) (a – b) – (w + z) b) a – b – (w + z) c) ab – (w + z) Translate the phrase to an algebraic expression. The difference of a and b decreased by the sum of w and z a) (a – b) – (w + z) b) a – b – (w + z) c) ab – (w + z) d) (b – a) – (w + z) Copyright © 2011 Pearson Education, Inc. 1.6

a) (a – b) – (w + z) b) a – b – (w + z) c) ab – (w + z) Translate the phrase to an algebraic expression. The difference of a and b decreased by the sum of w and z a) (a – b) – (w + z) b) a – b – (w + z) c) ab – (w + z) d) (b – a) – (w + z) Copyright © 2011 Pearson Education, Inc. 1.6

Translating Word Sentences Operation Expression Word Phrases Equals = is is equal to is the same as produces yields results in

Translate and Solve = Fifteen more than a number is seventeen.

Translate and Solve Thirteen more than the product of four and a number yields 25. =

Translate: Thirty-two less than three times a number is fifteen. a) 32 – 3x = 15 b) 3x – 32 = 15 c) 32 + 3x = 15 d) 3x  32 = 15 2.5

Translate: Thirty-two less than three times a number is fifteen. a) 32 – 3x = 15 b) 3x – 32 = 15 c) 32 + 3x = 15 d) 3x  32 = 15 2.5

Translate: The quotient of four less than a number and five is the same as the number divided by eight. a) b) c) d) 2.5

Translate: The quotient of four less than a number and five is the same as the number divided by eight. a) b) c) d) 2.5