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

2. 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

3. 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

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

5. 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.

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

7. 1.2 Properties of Real Numbers
Objective: Classify real numbers and use the properties of real numbers to evaluate expressions.

8. 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.

9. 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, …, -3, ,
Irrational Number
A real number that is not rational. The decimal form of an irrational number neither terminates nor repeats.
, , …

10. 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

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

12. 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

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

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

15. HOMEWORK!!!!!
Page #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!