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Purple Math
Purplemath: Solving Polynomial Inequalities
Demonstrates the 'factor table' method for solving polynomial inequalities.
Purple Math
Purplemath: Solving Quadratic Inequalities: Concepts
Introduces a conceptual basis for solving quadratic inequalities, looking at linear inequalities and using a knowledge of what quadratic graphs look like.
Purple Math
Purplemath: Solving Rational Inequalities
Demonstrates the factor-table method for solving rational inequalities.
Purple Math
Purplemath: Quartiles, Boxes, and Whiskers
Explains how to construct a simple box-and-whisker plot, and demonstrates the steps. Discusses quartiles and medians, shows how to find them, and explains how they relate to box-and-whisker plots.
Purple Math
Purplemath: Using Identities to Evaluate
Demonstrates how to evaluate trigonometric functions by using trig identities.
Purple Math
Purplemath: Trigonometric Identities
Lists the basic trigonometric identities, and specifies the set of trig identities to keep track of, as being the most useful ones for calculus.
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Purplemath: Ratios
Explains the basic terminology and formatting of ratios, and demonstrates how to solve typical exercises.
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Purplemath: Right Triangle Word Problems
Demonstrates how to translate, set up, and solve basic right-triangle word problems.
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Purplemath: Rounding and Significant Digits
Explains how to round to a given number of "significant digits".
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Purplemath: Solving Simple (To Medium Hard) Trig Equations
Introduces techniques for solving trigonometric equations. Provides worked examples of solving some simpler to medium-hard equations.
Purple Math
Purplemath: Stem and Leaf Plots
Explains how to create a stem-and-leaf plot from a data set. Demonstrates how to format a clear stem-and-leaf plot.
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Purplemath: The Unit Circle
Relates the unit circle to the method for finding trig ratios in any of the four quadrants. Demonstrates how the unit circle might be useful.
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Purplemath: Exponents: Scientific Notation
The lesson explains what scientific notation is, how to convert numbers into scientific and decimal notation, and gives some example problems that are worked through step by step.
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Purplemath: Completing the Square: Deriving the Vertex Formula
This resource describes in steps how to derive the vertex formula.
Purple Math
Purplemath: Conics: Circles: Introduction & Drawing
A reference site that gives definitions, examples, explanation of circle attributes and drawing circles in a coordinate plane.
Purple Math
Purplemath: Graphing Linear Inequalities Lesson: Y > Mx + B, Etc.
Demonstrates, step-by-step and with illustrations, how to graph linear (two-variable) inequalities.
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Purplemath: The Quadratic Formula Explained
An excellent discussion on solving quadratic formulas, accompanied by numerous examples.
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Purplemath: Number Types
This site explores the different types of numbers: natural numbers, whole numbers, integers, and rational and irrational numbers. Content includes some practice questions.
Purple Math
Purplemath: Finding the Next Number in a Sequence
This lesson explains how to find the terms of a sequence. The lesson explains how to determine a general formula for a sequence so as to be able to find any term in the sequence easily.
Purple Math
Purplemath: System of Equations Word Problems
This lesson gives numerous word problems with thier solutions for problems with systems of equations. Go to the third problem on the lesson, about half way down the page to find a problem with a quadratic system.
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Purplemath: Factorials
A review of factorials in the areas of combinations, permutations, probability, and the Binomial Theorem is presented. Examples are worked out and explained, complete with graphing calculator steps.
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Purplemath: Determinant Word Problems
Matrix determinants can be used to solve many algebra and geometry word problems. Among them: finding the area of a triangle, finding the area of a parallelogram, and finding the equation of a line between two points. These three...
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Purplemath: Determinants
A complete lesson on matrix determinants is offered here. From explanation of what a determinant is to how to find the determinant of a 2x2 or 3x3 matrix. Steps are written in and shown for the student or teacher's use. Also provided are...
Purple Math
Purplemath: Cramer's Rule
Cramer's Rule for solving a system of equations is presented here using an example of a system in three variables with three equations. The "everything," approach of solving for all three variables is shown as well as the "selective,"...