Elementary Algebra

1
Elementary Algebra

• A review of concepts and computational skills
• Chapters 5-7

2
Polynomials

• Polynomialterm, degree, constant, coefficient,
  like terms
• Monomial, binomial, trinomial
• Adding and subtracting polynomials look for like
  terms

3
Multiplying Polynomials

• Multiplying Polynomials by monomials
• Multiplying Binomials FOIL method
• Special Products

4
Dividing Polynomials

• Dividing polynomials by monomials
• Dividing polynomials by binomials (long division)

5
Properties of Exponents

• am x an amn
• am / an am-n
• a0 1
• (am)n amn
• (ab)n an bn
• (a/b)n an/bn

6
Negative Exponents and Scientific Notation

• an 1/an
• 1/a-n an
• (a/b)-n (b/a)n
• Scientific Notation Used for very large or very
  small numbers a x 10n where 1ltalt10 and n is an
  integer

7
Factoring

• Prime, composite numbers prime factorization
• GCF- greatest common factor
• Factoring special products
• Factor by grouping

8
More Factoring

• Factoring 2nd degree trinomials for a 1
• Factoring other 2nd degree trinomials
• Sum or difference of 2 cubes
• Solving quadratics by factoring

9
Rational Expressions

• Rational Expression a ratio of 2 polynomials
  with denominator not equal to zero
• Evaluating
• Finding values x cannot be (domain)
• Reducing

10
Multiply and Divide Rational Expressions

• Multiplysimplify first, then multiply
• Divide flip second expression, then simplify and
  multiply

11
Add and Subtract Rational Expressions

• Find the LCD least common denominator
• Convert denominators
• Add or subtract, then simplify

12
More Rational Expressions

• Complex fractions
• Solving equations with rational expressions