Lesson 17 Translating between words and algebraic expressions

Translating word and phrases into algebraic expressions • Addition • Words to look for: sum, total, more then, added, increased, plus • Phrases to look for: added to a number, increased by a number • Expressions to look for: x+4, 7+x

Subtraction • Words to look for: less, minus, decreased by, difference, less than • Phrases to look for: the difference of something and a number, less then a number • Expressions to look for: 5 -x, x-8

multiplication • Words to look for: product, times, multiplied • Phrases to look for: the product of a number and, a number times • Expressions to look for: 12(x), 3 x

division • Words to look for: quotient, divided by, divided into • Phrases to look for: the quotient of a number and, something divided by a number • Expressions to look for: x/6, 10/x

Translating words into algebraic expressions • • y increased by 7 The product of x and 4 8 less than the quotient of m and 15 x decreased by 8 The product of 12 and n 3 less than the quotient of z and 24 Sylvia is 4 years younger than Omar, who is y years old. Write the expression that will show Sylvia's age • Maria is twice James' age. If James age is x-6, express Maria's age.

Translating algebraic expressions into words • • • m+7 y-9 x/3 5 n 27 -1/2(18) b+12 p-7 21/x y/8 10 - 1/2(14)