English to Algebra

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