3.2 Writing Algebraic Expressions CCSS 6.EE.2a Write, read, and evaluate expressions in which letters stand for numbers. Write expressions that record operations with numbers and with letters standing for numbers.

Numerical Expressions Verbal Phrase Operation The sum of 5 and 3 is 8. Add The difference of 10 and 7 is 3. Subtract The product of 2 and 8 is 16. Multiply The quotient of 24 and 3 is 8. Divide

Backwards Words Add 3 and 7 = 3 + 7 The sum of 3 and 7 = 3 + 7 3 increased by 7 = 3 + 7 The total of 3 and 7 = 3 + 7 3 more than 7 = 7 + 3 3 added to 7 = 7 + 3

Backwards Words 7 subtract 3 = 7 - 3 The difference of 7 and 3 = 7 - 3 7 decreased by 3 = 7 - 3 7 diminished by 3 = 7 - 3 7 less 3 = 7 - 3 7 less than 3 = 3 - 7 7 subtracted from 3 = 3 - 7

Translate the verbal phrase into a numerical expression and evaluate. 1) The difference of 8 and 1. 2) The product of 12 and 6. 3) The sum of 5 and 9. 4) The quotient of 12 and 3.

Write a verbal phrase that represents each algebraic expression below. 1) The difference of 10 and x. 2) The product of 6 and m. 3) The quotient of 12 and y. 4) The sum of k and 7.

Write a variable expression to represent the following if x represents your age. 1) Your age 5 years ago. 2) Twice your age. 3) Your age in 8 years.

Translate the following phrases. 1) Five plus x minus 3 5 + x - 3 2) Three times y less 4 3) Eight multiplied by y minus 7 8y - 7 4) The product of 10 and m decreased by 7 10m - 7 5) Four more than the quotient of x and 3 6) Six times m plus 8 6m + 8

Match each phrase with its variable expression. d 1) Twice the sum of x and 3 e 2) Two less than the product of 3 and x b 3) Three times the difference of x and 2 a 4) Twice a number x less 3 c 5) Two more than 3 times a number x