Sunday, February 19th, 2012 at
5:40 pm

Midpoint The point halfway between two points on the coordinate plane is found by calculating the average values of the x and y coordinates. The mid-point formula is: Examples: Use the distance formula and find the distance between two points and use the mid-point formula to find the point halfway between the same two points. 1. …

**Read the rest of this entry**

Thursday, February 16th, 2012 at
2:55 pm

What is the Distance Formula? The distance between two points on a coordinate plane can found by using the distance formula. To understand and discover the distance formula you must use the Pythagorean Theorem. If you have a right triangle, then the square on the hypotenuse is equal to the sum of the squares of the other…

**Read the rest of this entry**

Monday, January 23rd, 2012 at
4:05 pm

Cartesian Plane The Cartesian Plane is used to plot points. A rectangular coordinate system consists of points called ordered pairs. (x,y) The coordinates of the points and listed in alphabetical order so x comes first in an ordered pair (x,y). x-axis –> horizontal number line y-axis –> vertical number line origin –> point of intersection…

**Read the rest of this entry**

Tuesday, January 3rd, 2012 at
5:51 pm

Solving Inequalities Simple Inequalities contain one of the following signs . When solving an inequality, one is trying to find all the valid solutions. Example: all real nos. less than 3 An inequality can be bounded or unbounded / open or closed. We use rounded brackets to indicate an open ended inequality…

**Read the rest of this entry**

Monday, January 2nd, 2012 at
1:48 pm

Solving Equations of a Higher Degree The number of roots or solutions [values for x] is dependent on the degree of the polynomial in an equation. If the degree is 2, as in a quadratic equation, there is the possibility of two roots. If the degree is six, there can be up to six roots. …

**Read the rest of this entry**

Friday, December 30th, 2011 at
1:31 pm

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. …

**Read the rest of this entry**

Wednesday, December 28th, 2011 at
4:24 pm

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…

**Read the rest of this entry**

Tuesday, December 27th, 2011 at
6:15 pm

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…

**Read the rest of this entry**

Monday, December 26th, 2011 at
6:05 pm

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….

**Read the rest of this entry**

Saturday, December 24th, 2011 at
6:35 pm

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…

**Read the rest of this entry**