Warm-ups 1.1 What is the value of 100 – 99 – 98? What is the value of sixty divided by two times three? What is the value of 8x when x is 5?

Evaluating Expressions Section 1.1 *Evaluate numerical and algebraic expressions *Apply the Algebraic Definitions of Subtraction and Division *Identify and apply the associative, commutative, identity, and transitive properties.

Definitions Variable: Algebraic Expression: Evaluating the expression: Letter or other symbol that can be replaced by any number (or other object) in a math problem. A math problem containing both numbers and variables. Finding a numerical value of a math problem.

Order of Operations Parentheses Exponents Multiplication (Division) Addition (Subtraction) Re-write the expression using addition instead of subtraction 15 – 9#10: 8(3 – 5) (3 + -5)

State the first operation performed and evaluate each expression. Evaluate the algebraic expression for the given value of the variable. 2a 2, a = -3 x=4, y=5 multiplication, 24 Exponents, 7

Review the properties! Commutative Property: of addition  a + b = b + a of multiplication  a ∙ b = b ∙ a Associative Property: of addition  (a + b) + c = a + (b + c) of multiplication  (a ∙ b) ∙ c = a ∙ (b ∙ c) Transitive Property: If a = b and b = c, then a = c Think commuter! think to associate with! think of telephone – to translate

# 13 If x + 58 = y + 15 and y + 15 = w, what conclusion can be made based on the Transitive Property of Equality? x + 58 = w What property of multiplication are displayed in this example? (6x) ∙ 7 (x ∙ 6) ∙ 7 x (6 ∙ 7) Commutative Associative

Homework Lesson Master 1.1A and page 12: