Purple Math
Purplemath: Using Slope and Y Intercept to Graph Lines
Demonstrates, step-by-step and with illustrations, how to use slope and the y-intercept to graph straight lines.
Purple Math
Purplemath: Geometry Word Problems: Introduction
Introduces how to set up and solve simple geometric-figure word problems. Includes advice regarding formulas to memorize.
Purple Math
Purplemath: "Distance" Word Problems
Demonstrates how to set up and solve 'distance' problems using 'distance equals rate times time'.
Purple Math
Purplemath: Factoring Polynomials: How To
Demonstrates the steps involved in factoring a general polynomial, including using the Rational Roots Test and synthetic division. Shows how to "cheat" with a graphing calculator.
Purple Math
Purplemath: Operations on Functions
Demonstrates how to add, subtract, multiply, and divide functions. Includes an example of evaluation. Demystifies the notation.
Purple Math
Purplemath: Polynomial Graphs: End Behavior
Explains how to recognize the end behavior of polynomials and their graphs. Points out the differences between even-degree and odd-degree polynomials, and between polynomials with negative versus positive leading terms.
Purple Math
Purplemath: The Rational Roots Test
Demonstrates how to use the Rational Roots Test to list possible fractional solutions for polynomials.
Purple Math
Purplemath: Special Factoring: Differences of Squares
Demonstrates how to use the formula for finding the differences of squares, and warns against trying to factor a sum of squares.
Purple Math
Purplemath: Solving Quadratic Equations by Factoring
Demonstrates how to solve quadratics using factoring (that is/the Zero-Product Property). Provides worked examples/and warnings about common mistakes.
Purple Math
Purplemath: Solving Polynomials: How To
Demonstrates the steps involved in solving a general polynomial, including how to use the Rational Roots Test and synthetic division. Points out when using a graphing calculator can be very helpful.