Algebra 1 Review:

1
Algebra 1 Review

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

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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

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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

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Order of Operations

• Practice Evaluate each expression
• a.
• b.
• c.
• d.

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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.

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Evaluate an Expression

• Evaluate if x8 and y1.5
• Evaluate if a2, b-4, and c-3

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1.2 Properties of Real Numbers

• Objective Classify real numbers and use the
  properties of real numbers to evaluate
  expressions.

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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.

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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

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Classify Real Numbers
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
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Practice

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

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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 Inve
rse Distributive
then
If
a(bc)abac and (bc)abaca
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Practice

• Name the property illustrated by each equation
• a)
• b)
• c) (214)33(214)
• d) -6xy 0 -6xy

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Simplify each expression

1. 7a 3b 4a 5b
2. 3(15x 9y) 5(4y x)
3. 7(0.2p 0.3q) 0.6(0.8x-6y)

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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!