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
•The sum of 3 and x.
Expressions
Phrases
•Two less than the sum of six and a number.
Expressions
Less than means to reverse the order.
and
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
Price per can # of cans Price per bottle # of bottles
•c = Number of cans •b = Number of bottles
.03c + .05b
Solve the Puzzles
• Black is to white as red is to ? • Round is to oblong as basketball is to?
• Expression is to equation as phrase is to?
• 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 9 x -3 > 9 • 9 less than a number is 16 • x - 9 = 16
not 9 - x = 16