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Discover the number of triangles in each drawing and learn how to translate phrases into algebraic expressions and equations. Practice solving puzzles and converting phrases into mathematical equations. Improve your understanding of algebra concepts through interactive exercises.
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Warm Up 1.) How many triangles can be found in each drawing? a. b. c.
Warm Up • 1.) How many triangles can be found in each drawing? a. b. c. 2 6 28
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: difference sum Product quotient
Phrases Expressions • The sum of 3 and x. 3 + x
Phrases Expressions • Two less than the sum of six and a number. (6 + x) 2 - Less than means - and to reverse the order.
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 green • Black is to white as red is to ? • Round is to oblong as basketball is to? • Expression is to equation as phrase is to? football sentence
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. 22 - x = 12
Sentences Equations • 2.) The product of 3 and a number is 21. 3x = 21
Check for Understanding • 1.) What word does a sentence have that a phrase doesn’t? is • 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 7x < 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