Unit 1: Language & Notation of Algebra

What is a variable? – a letter that represents a # (value) What is a constant? – A value (#) that does not change What is a coefficient? – A # that is multiplied by a variable What is a numerical expression? – May contain only constants and/or operations What is an algebraic expression? – May contain variables, constants, and/or operations Vocabulary

Operation Review find out how much more or less (minus, difference, less than, decreased) find out how much more or less (minus, difference, less than, decreased) put together/combine (plus, sum, increased by, more) put together/combine (plus, sum, increased by, more) put together equal groups (times, product, equal groups of, per) put together equal groups (times, product, equal groups of, per) separate into equal groups (divided by, quotient, split, ratio) separate into equal groups (divided by, quotient, split, ratio)

Give two ways to write each algebraic expression into words. Translating from Algebraic Symbols to Words Ex. A x + 3 Ex. A x + 3 Ex. B n - 15 Ex. B n - 15 Ex. C 2y Ex. C 2y Ex. D g ÷ 10 Ex. D g ÷ 10 x increased by three The sum of 3 and a number n decreased by 15 the difference of n and 15 Twice a number The product of 2 and y g divided by 10 The quotient of g and 10

Translating from Words to Algebraic Symbols Ex. A Four more than twice a number. Ex. B The difference of 15 and a number. Ex. C The product of five and a number. Ex. D A number divided by thirty. Ex. E Eight less than twice a number is sixteen. Ex. F Twenty less than a number is sixty.

Order of Operations P arenthesis (perform operations inside grouping symbols) E xponents (simplify powers and roots) M ultiply D ivide multiply and divide from left to right A dd S ubtract addition and subtraction from left to right P arenthesis (perform operations inside grouping symbols) E xponents (simplify powers and roots) M ultiply D ivide multiply and divide from left to right A dd S ubtract addition and subtraction from left to right

Unit Review Evaluate: 24 Evaluate: -111 Translate: Nine less than five times a number is eleven Translate: Three times a number decreased by sixteen is five A prepaid phone card has a credit of 200 minutes. Write an expression for the number of minutes left on the card after t minutes have been used. A cleaning service charges $49.00 to clean a one-bedroom apartment. If the work takes longer than 2 hours, the service charges $18.00 for each additional hour. What would be the total cost for a job that took 4 hours to complete? Evaluate: 24 Evaluate: -111 Translate: Nine less than five times a number is eleven Translate: Three times a number decreased by sixteen is five A prepaid phone card has a credit of 200 minutes. Write an expression for the number of minutes left on the card after t minutes have been used. A cleaning service charges $49.00 to clean a one-bedroom apartment. If the work takes longer than 2 hours, the service charges $18.00 for each additional hour. What would be the total cost for a job that took 4 hours to complete?