Algebra 1 Review: 1.1 Expressions and Formulas Objectives: 1) Use order of operations to evaluate expressions 2) Use formulas

Order of Operations Why? Because a numerical expression must have one value, so we can all arrive at the same answer. PEMDAS Please excuse my dear aunt sally

Order of Operations Step One: Evaluate expression inside grouping symbols (parenthesis) Step Two: Evaluate all powers Step Three: Do all multiplications and/or divisions from left to right. Step Four: Do all additions and/or subtractions from left to right. P E M D A S

Order of Operations Practice: Evaluate each expression a. b. c. d.

Evaluate an Expression Vocabulary: A variable is a symbol, usually a letter, that is used to represent unknown quantities. Expressions that contain at least one variable are called algebraic expressions.

Evaluate an Expression Evaluate if x=8 and y=1.5 Evaluate if a=2, b=-4, and c=-3

1.2 Properties of Real Numbers Objective: Classify real numbers and use the properties of real numbers to evaluate expressions.

Real Numbers All of the numbers that you use in everyday life are real numbers Each real number corresponds to exactly one point on the number line, and every point on the number line represents exactly one real number.

Rational vs. Irrational Rational Number Can be expressed as a ratio , where m and n are integers and n is not zero. The decimal form of a rational number is either a terminating or repeating decimal. 1.9, 2.575757…, -3, , Irrational Number A real number that is not rational. The decimal form of an irrational number neither terminates nor repeats. , , 0.010010001…

Classify Real Numbers REAL NUMBERS Rationals Irrationals Natural {1, 2, 3, 4, 5,…} Whole {0, 1, 2, 3, 4, 5,…} Integers {…-3, -2, -1, 0, 1, 2, 3…} REAL NUMBERS Rationals Irrationals Integers Whole Natural

Practice Name the sets of numbers to which each number belongs. a. b. 9.99999 c. d. -23.3 e.

Properties of Real Numbers Addition a + b = b + a (a + b) +c = a + (b + c) a + 0 = 0 + a a + -a = 0 = -a + a Multiplication Property Commutative Associative Identity Inverse Distributive then If a(b+c)=ab+ac and (b+c)a=ba+ca

Practice Name the property illustrated by each equation: a) b) d) -6xy + 0 = -6xy

Simplify each expression 7a + 3b – 4a – 5b 3(15x – 9y) + 5(4y – x) 7(0.2p + 0.3q) + 0.6(0.8x-6y)

HOMEWORK!!!!! Page 47-48 #11-24 all Get your syllabus signed and returned Binder check next week! It must include all homework, notes, and class handouts to receive full credit!