| |
| |
| |
Real Numbers And Their Properties | |
| |
| |
Pretest | |
| |
| |
The Real Number System | |
| |
| |
Variables, Algebraic Expressions, Terms, Coefficients and Factors | |
| |
| |
Order of Operations | |
| |
| |
Associative, Commutative, Distributive, Identity, and Inverse Properties | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
A Review Of The Laws Of Exponents | |
| |
| |
Pretest | |
| |
| |
Exponents | |
| |
| |
Negative Exponents | |
| |
| |
Sum Rule | |
| |
| |
Product Rule | |
| |
| |
Quotient Rule | |
| |
| |
Zero Rule | |
| |
| |
Distributive Rules | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Radicals | |
| |
| |
Pretest | |
| |
| |
Roots | |
| |
| |
Simplification of Radicals | |
| |
| |
Pythagoras' Theorem | |
| |
| |
The Distance Formula | |
| |
| |
Combining Radicals | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Multiplication And Rationalization Of Radicals | |
| |
| |
Pretest | |
| |
| |
Basic Operations | |
| |
| |
Product of Two Binomials | |
| |
| |
Conjugates | |
| |
| |
Rationalization | |
| |
| |
Indeterminate Forms | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Complex Numbers | |
| |
| |
Pretest | |
| |
| |
Imaginary Number i | |
| |
| |
Complex Numbers | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Fractional Exponents | |
| |
| |
Pretest | |
| |
| |
Fractional Roots | |
| |
| |
Equations with Fractional Exponents | |
| |
| |
Products of Radicals | |
| |
| |
Compound Interest | |
| |
| |
Rule of 72 | |
| |
| |
Simple Pendulum | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
A Review Of Factoring | |
| |
| |
Pretest | |
| |
| |
GCF | |
| |
| |
Monomial Factors | |
| |
| |
Factoring Trinomials | |
| |
| |
Perfect Squares | |
| |
| |
Conjugates - The Difference of Two Squares | |
| |
| |
Factoring by Grouping | |
| |
| |
Quadratic Equations and Factoring | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Solving Linear Equations | |
| |
| |
Pretest | |
| |
| |
Addition and Multiplication Properties | |
| |
| |
Linear Equations with Fractions | |
| |
| |
Linear Equations with Decimals | |
| |
| |
Solving for a Particular Variable | |
| |
| |
Applications of Linear Equations | |
| |
| |
Exercise | |
| |
| |
Posttest | |
| |
| |
| |
Solving EQUATIONS OF THE FORM ax& ? B = 0 | |
| |
| |
Pretest | |
| |
| |
Isolation of Squared Term | |
| |
| |
Isolation of Squared Binomial Term | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Completing The Square | |
| |
| |
Pretest | |
| |
| |
Completion of the Square | |
| |
| |
Exercise | |
| |
| |
Posttest | |
| |
| |
| |
The Quadratic Formula And Applications | |
| |
| |
Pretest | |
| |
| |
Quadratic Formula | |
| |
| |
Clearing Fractions | |
| |
| |
Applications | |
| |
| |
Equations Reducible to Quadratics | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Observations And Extensions | |
| |
| |
Pretest | |
| |
| |
Discriminant | |
| |
| |
Sum and Product of Roots | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Equations Containing Radicals | |
| |
| |
Pretest | |
| |
| |
Isolation and Extraneous Roots | |
| |
| |
Multiple Square Roots | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Solving Non-Linear Inequalities | |
| |
| |
Pretest | |
| |
| |
Sign Analysis | |
| |
| |
Interval Notation | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
The Line | |
| |
| |
Pretest | |
| |
| |
Two Dimensional Coordinate System | |
| |
| |
Horizontal and Vertical Lines | |
| |
| |
The Slope Intercept Form | |
| |
| |
Graphing | |
| |
| |
The Point Slope Form | |
| |
| |
The Slope Formula | |
| |
| |
The General Linear Equation | |
| |
| |
An Economic Application | |
| |
| |
Exercise | |
| |
| |
Posttest | |
| |
| |
| |
The Circle | |
| |
| |
Pretest | |
| |
| |
Definition of a Circle | |
| |
| |
Equation of a Circle | |
| |
| |
Graphing a Circle | |
| |
| |
The Tangent Line | |
| |
| |
The Ellipse | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Solving Two Equations In Two Unknowns | |
| |
| |
Pretest | |
| |
| |
Method of Elimination | |
| |
| |
Method of Substitution | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Non-Linear Systems Of Equations | |
| |
| |
Pretest | |
| |
| |
Number of Solutions | |
| |
| |
Method of Substitution | |
| |
| |
Method of Elimination | |
| |
| |
A Calculus Application | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Appendix ? arithmetic of signed numbers | |
| |
| |
Pretest | |
| |
| |
Absolute Value | |
| |
| |
Addition of Signed Numbers | |
| |
| |
Subtraction of Signed Numbers | |
| |
| |
Multiplication of Signed Numbers | |
| |
| |
Division of Signed Numbers | |
| |
| |
Exercises | |
| |
| |
Posttest | |
| |
| |
| |
Answers to Pre and Post Tests | |
| |
| |
| |
Answers to Exercises | |
| |
| |
| |
Index | |