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Words Into Symbols Objective: To translate word phrases into algebraic expressions and word sentences into equations by Gavin McGerald

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**Expressions examples A number decreased by 3 A number increased by 7**

4 more than the square of a number The difference of twice a number and 5 Twice the sum of a number and 5 X – 3 n + 7 b2 + 4 2n – 5 2(x + 5) by Gavin McGerald

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In a word problem A train leaves town A going east at 70m mph toward town B, another train from town A left an hour later at 60 mph going west. What is the distance between the two trains after x hours? D = rt 60(x-1) 70x 60(x-1) + 70x = 60x – x = 130x - 60 TownA by Gavin McGerald

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Consecutive Numbers The sum of 4 consecutive odd integers is 64 find each integer First number is x, next number must be x + 2 the third x + 4 and so on. x + (x + 2) + (x + 4) + (x + 6) = 64 4x + 12 = 64 4x = 52 x = 13 13, 15, 17, 19 by Gavin McGerald

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Solve x2 + 8x -12 = 0 by completing the square x2 + 8x =12

Solve x2 + 8x -12 = 0 by completing the square x2 + 8x =12

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