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Algebraic Expressions Algebraic Expressions

What is a Variable? • In algebra, we use LETTERS or SYMBOLS to represent What is a Variable? • In algebra, we use LETTERS or SYMBOLS to represent a number • Examples: x y n

What is an algebraic expression? • When we combine or more variables; è It What is an algebraic expression? • When we combine or more variables; è It can include NUMBERS and OPERATION SIGNS • Examples: x+y 3–x 4 x 6 + xy

Expressions that involve addition • The sum of 2 and x • 8 increased Expressions that involve addition • The sum of 2 and x • 8 increased by 2 • 7 more than v • 6 greater than x • Exceeds L by 20

Expressions that involve subtraction • The difference of 2 and y • c decreased Expressions that involve subtraction • The difference of 2 and y • c decreased by 2 • 7 less than v • 6 reduced by x • 20 less L

Expressions that involve multiplication • The product of 2 and 5 • 10 times Expressions that involve multiplication • The product of 2 and 5 • 10 times x • Twice y • Triple z • ½ of a number t

Expressions that involve division • The quotient of 20 and 5 • T divided Expressions that involve division • The quotient of 20 and 5 • T divided by 4 • x split into 12 parts

Math in our everyday lives • Johnny babysits his neighbour’s kids after school and Math in our everyday lives • Johnny babysits his neighbour’s kids after school and receives $5. 50 each hour. • Johnny really, REALLY wants to buy an XBOX 360 which is priced at $569 (with tax). • If Johnny works 82 hours, will he have enough money to purchase the XBOX 360?

Math in our everyday lives IN: 1 hour, Johnny makes $5. 50 2 hours: Math in our everyday lives IN: 1 hour, Johnny makes $5. 50 2 hours: Johnny makes $11. 00 3 hours: Johnny makes $16. 50 … The algebraic expression 5. 50 x gives us how much money Johnny earns in x hours. How much money does he earn in 82 hours? $5. 50 x 82 = $451 … not enough

homework • “Do You Remember? ” section of Chapter 4 – Page 123 #1 homework • “Do You Remember? ” section of Chapter 4 – Page 123 #1 -7