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copyright©amberpasillas2010 Add Subtract Multiply Divide minus times quotient plus difference sum product of increased by decreased by less twice 2 total more than less than added to subtracted from Flip Flop Numbers copyright©amberpasillas2010 Word Phrases for multiplication are: The product of 5 and a number c 5 • c or 5c Seven times a number t 7 • t or 7t 6 multiplied by a number d 6 • d or 6d copyright©amberpasillas2010 The Placement rule for multiplication is: The product of 5 and a number c Always write the Seven times a number t variable 7 • t or 7t AFTER the 6 multiplied by a number d number. 5 • c or 5c 6 • d or 6d copyright©amberpasillas2010 Using parentheses 4 • b is written as 4(b) Parentheses mean (4)b multiply! (4b) 4b copyright©amberpasillas2010 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 Flip Flop Numbers 3 more than 7 7+3 3 added to 7 7+3 copyright©amberpasillas2010 3 minus x 3 less x The difference of 3 and x 3 decreased by x 3-x 3-x 3 less than x x-3 3 subtracted from x x-3 3 is less than x copyright©amberpasillas2010 3-x 3-x 3<x 7 increased by 3 The difference of 7 and 3 The sum of 7 and 3 7 less 3 7+3 7-3 7+3 7-3 Flip Flop Numbers 7 less than 3 7 subtracted from 3 copyright©amberpasillas2010 3-7 3-7 1) Five plus x minus 3 5+x-3 2) Three times y less 4 3y 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 x 4 x 3 4 or 3 6) Six times m plus 8 6m + 8 copyright©amberpasillas2010 d 1) Twice the sum of x and 4 a) 2x 4 b) 4(x 2) e 2) Two less than the product c) 4x 2 of 4 and x b 3) Four times the difference of x and 2 a 4) Twice a number x less 4 c 5) Two more than 4 times a number x copyright©amberpasillas2010 d) 2(x 4) e) 4x 2 1) The car traveled 5 mph faster than the truck Let x = the speed of the truck The speed of the car = x + 5 2) Gavin is 8 inches shorter than Austin Let x = the height Austin The height of Gavin = x - 8 3) Dave had 3 homeruns more than twice Joe Let x = Joe’s homeruns Dave’s homeruns = 2x + 3 4) $5 times the number of people plus a $10 parking fee Let x = the number of people Total cost = $5x + $10 copyright©amberpasillas2010 THE END!!! Take out your study guide copyright©amberpasillas2010 #3 WORD PHRASES A word phrase is a sentence that can be translated into a variable expression or equation. A word phrase is like a verbal phrase. It is made up of only words. Ex: The difference of 8 and a number. Algebraic Expression: 8 - n copyright©amberpasillas2010 #4 1) 4 x 5 2 Four times the sum of x and 5 minus 2 2) 7 2 x 3 Seven minus twice the quotient of x and 3 3) m 9 4 The quotient of m and 9 minus 4 copyright©amberpasillas2010