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