mr. pearson september 16, 2011 simplifying algebraic expressions (unit 2) gps m7a1.b

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 thesePhrases 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 theseSentences to Equations• The sum of a number and 8 is 14• x + 8 = 14• The difference of a # and 3 is

more than 9 x -3 > 9• 9 less than a number is 16• x - 9 = 16

not 9 - x = 16