Download precalculus appendix-a notes

PRECALCULUS APPENDIX-A NOTES
REVIEW OF FUNDAMENTAL CONCEPTS OF ALGEBRA
A.1 REAL NUMBERS AND THEIR PROPERTIES
1.) Subsets of real numbers diagram
2.) Bounded intervals on the real number line
3.) Unbounded intervals on the real number line
4.) Definition of absolute value
5.) Properties of absolute value
6.) Distance between two points on the real number line
7.) Definition of an algebraic expression
8.) Definition of subtraction and division
9.) Basic rules of Algebra
10.) Properties and operations of fractions #4,5,6,7
11.) Prime number and composite number
12.) Fundamental theorem of Arithmetic
HOMEWORK: pp A8-A10 # 5,9,15,19,25,29,…,115
A.2 EXPONENTS AND RADICALS
1.) Exponential notation
2.) Properties of exponents with examples (n/c)
3.) Scientific notation
4.) Principal nth root of a number
5.) Properties of radicals (n/c)
6.) Steps for simplifying radicals
7.) Rationalizing
8.) Definition of a rational exponents
HOMEWORK: pp A20-A22 #1,5,8,10,11,13,16,18,25,29,31,36,38,44,45,50,53,56,62,69,75,78,80,81,85,93,97,103,105,107
A.3 POLYNOMIALS AND FACTORING
1.) Definition of a polynomial in x
2.) Degree of a polynomial
3.) FOIL method
4.) Special products
5.) Factoring special polynomial forms
HOMEWORK: pp A31-A35 #5,15,25,…,225
A.4 RATIONAL EXPRESSIONS
1.) Domain
2.) Implied domain
3.) Complex fractions
HOMEWORK: pp A42-A45 #1,5,11,15,…,85
A.5 SOLVING EQUATIONS
1.) Define an equation
2.) Definition of a linear equation
3.) Steps for generating equivalent equations
4.) Equations with absolute value solutions
5.) By looking at the examples what are four ways to solve quadratic equations
HOMEWORK: pp A56-A59 #7,17,27,37,…,207
REVIEW FOR TEST!!!!!!!!!!!!!!!!!!