Alg2 sections 1, 2, and3

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Alg2 sections 1, 2, and3

  1. 1. ALGEBRA 2 Sections 1, 2, and 3
  2. 2. Real Numbers Rational Numbers Irrational Numbers Integers Whole Numbers Natural Numbers See page 1
  3. 3. Real Number Line ≈ 1.571 ≈ 3.464 -2.45
  4. 4. Plot the numbers listed below on the real number line.
  5. 5. How can we use them in math?  Add  Subtract Adding the opposite or additive inverse  Multiply  Divide Multiplying by the reciprocal or Multiplicative inverse
  6. 6. Order of Operations  PEMDAS  Parenthesis  Exponents  Multiplication and division.  As they appear from left to right.  Addition and subtraction.  As they appear from left to right.
  7. 7. Properties  Closure  Commutative  Associative  Identity  Inverse  Distributive Pages 3-4
  8. 8. Unit Analysis  You work 4 hours and earn $36. What is your earning rate?  You travel for 2.5 hours at 50 miles per hour. How far do you go?  You drive 45 miles per hour. What is your speed in feet per second? Page 5
  9. 9. Numerical Expression  Base Exponen t
  10. 10. Algebraic Expression  Has at least one variable Coefficients Variables Constant • Above is and expression written as a sum. • The parts added together are called terms. • Variable term has a variable. • A constant term has no variable.
  11. 11. Solve linear Equations 
  12. 12. Properties  Addition Property of Equality  Subtraction Property of Equality  Multiplication Property of Equality ◦ Nonzero number  Division Property of Equality ◦ Nonzero number
  13. 13. Solving Equations  Simplify both sides following PEMDAS, and various properties.  Bring variables to one side  Undo the operations in reverse order, addition/subtraction, multiplication/division, powers, grouping symbols.
  14. 14. Solve 
  15. 15. Vocabulary  Real numbers  Closure  Commutative  Associative  Identity  Inverse  Distributive
  16. 16. Vocabulary  Opposite/additive inverse  Reciprocal/multiplicative inverse  Base  Exponent  Variable  Algebraic expression  Terms (variable and constant)  Coefficient
  17. 17. Homework  Pages 6 – 9 #7, 25-29 odd, 41-45 odd,49-53 odd  Pages 13-15 #9-15 odd, 37-49 odd, 53  Pages21 – 23  #21-49 e.o.o, 51, 53, 59-65 odd

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