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

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

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.

Be Ready to describe the following with one word:

Phrases Expressions The sum of 3 and x.

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

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

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

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)

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

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

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?

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

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

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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