Archive for December, 2011

Quadratic Equations

Quadratic Equations A quadratic equation in x is an equation that can be written in the general form     where a, b and c are real numbers, with a  0. A quadratic equation in x is also known as a second-degree polynomial equation in x. There are four ways to solve a quadratic equation. 1. …

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Linear Equations

Linear Equations Vocabulary: An equation in x is a statement that two algebraic expressions are equal. To solve –> finding all the values of x for which the equation is true. The values of x are called solutions. identity –> true for every real number in the domain conditional equation –> is true for just…

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Rational Expressions

Rational Expressions Domain — what values of x make the statement valid?  Usually the domain is all real numbers but …. or all real #’s such that x does not equal …. Examples:                                            Domain:                                        all reals                                                all reals such that     [cannot be a negative                                                                                                            #  under a   sign]                                                   all reals such…

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Factoring Polynomials

Factoring Polynomials Definition:  Factoring is the process of writing a polynomial as a product of factors. Types of Factoring: 1.  The first step in factoring is to find the CF [common factor]. Examples:                                                                                                                                             in example d) above, one is trying to find the common factor so the remaining factors have integer coefficients….

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Polynomials

Polynomials The following is a polynomial in x: The polynomial is of degree n*,  is the leading coefficient, and  is the constant term. * the exponent must be a positive integer. Important Vocabulary: 1.  polynomial – an algebraic expression a number of terms 2.  coefficient – the number in front of the variable 3.  degree…

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More Radical Numbers

Radical Numbers – Part II Properties of Radicals Simplifying Radicals Definition of a radical in Simplest Form: all possible factors have been removed from the radical all rationals [fractions] have radical-free demonimators the index of the radical is reduced Examples of Simplifying with Even Roots: Simplifying with Odd Roots: Like Radicals have the same index…

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Math Games

You can find a variety of great Math Games in this post. Check back each day and find out what is the latest math game that we are sharing with you. Today’s feature is a great resource for students in grades 6 through 12.  The activities can help you teach students how to think with…

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Radical Numbers

Radicals A square root is a radical number.  We use the symbol  to indicate the ‘square’ root of a. The cube root of a is written as  .      If  , the root is a square root.       If  , the root is a cube root.                          The…

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Scientific Notation

Definition of Scientific Notation   Examples:    Watch this video and learn more about Scientific Notation.   Tweet

Exponents

Understanding Exponents Repeated Multiplication can be written in exponential form.                                                                                      read   to the  power Properties of Exponents                     Examples:                                                            The above examples use properties 1,2,3,5, and 6.  More Advanced topics related to Exponents 1.  Scientific Notation To learn about Scientific…

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