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Mr. Pearson September 16, 2011 SIMPLIFYING ALGEBRAIC EXPRESSIONS (UNIT 2) GPS M7A1.b

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Today’s Objective 1.) To be able to translate verbal phrases into Algebraic Expressions. 2.) To be able to translate verbal phrases into Algebraic Equations and Inequalities.

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Be Ready to describe the following with one word:

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Phrases Expressions The sum of 3 and x.

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Two less than the sum of six and a number. Less than means - and to reverse the order. Phrases Expressions

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Translate the following into Algebra A recycling center pays 3 for aluminum cans and 5 for glass bottles. Write an algebraic expression representing the total amount paid for a sack of cans and bottles. Price per can # of cans Price per bottle # of bottles

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Translate the following into Algebra c = Number of cans b = Number of bottles Price per can # of cans Price per bottle # of bottles.03c +.05b

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The sum of 6 and a number (Phrase) 6 + x (Expression) The sum of 6 and a number is 10. (Sentence) 6 + x = 10 (Equation)

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Sentences Equations 1.) Twenty-two decreased by a number is 12.

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Sentences Equations 2.) The product of 3 and a number is 21.

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Check for Understanding 1.) What word does a sentence have that a phrase doesn’t? 2.) What symbol does an equation have that an expression doesn’t?

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Sentences Equations Be careful,, This is Tricky 2.) 7 times a number is less than 50

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Now you try these Phrases to Expressions The difference of a number & 8 x - 8 A number multiplied by 15 15x 9 more than a number x + 9 not 9 + x

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Now you try these Sentences to Equations The sum of a number and 8 is 14 x + 8 = 14 The difference of a # and 3 is more than 9x -3 > 9 9 less than a number is 16 x - 9 = 16 not 9 - x = 16

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Equivalent Expressions L.O. To simplify algebraic expressions (Level 5) abc a + ba + b + 1b + c +2 For each block find the sum of the two blocks underneath.

Equivalent Expressions L.O. To simplify algebraic expressions (Level 5) abc a + ba + b + 1b + c +2 For each block find the sum of the two blocks underneath.

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