Point-Slope Form
Point-Slope Form:
The point-slope form is derived from the formula;
Algebra
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Graphing Linear Equations and Inequalities
Graphing Linear Equations and Inequalities:
Distance Between Points
Distance Between Points:
Distance Formula:
Coordinate Systems and Graphing
Coordinate Systems and Graphing
Quadratic Rational Inequalities
Quadratic Rational Inequalities: Consider the example: (x + 4) / (x - 2) < 2 x + 4 = 0 and x - 2 = 0 x = -4 x = 2 (x + 4) / (x - 2) < 0 The solution set is ( -4, 2 ) ex.
Completing the Square
Completing the Square: ex. x2 + 10x + 5 = 0 x2 + 10x = -5 subtract 5 to both sides. x2 + 10x + 25 = -5 + 25 half of 10 squared, ( 10 ÷ 2 = 5; 52 = 25) added to both sides. (x + 5)2 = 20 factor x2 + 10x + 25. 
x2 + 14x - 3 = 0 x2 + 14x = 3 add 3 to both sides.
Arithmetic Operations
Arithmetic Operations
The simplification of algebraic expressions with radicals will involve the simplification and combination of the quantities within the radical sign. To add and subtract radicals, one must ensure that the index and the radicand have the same value.
Exponents and Radicals
Exponents and Radicals
The concept of exponentiation, which represents "repeated multiplication" for integer exponents, can be extended to the real numbers. The following laws for exponents apply to all real numbers (and thus to all integers):
Rational Expressions
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Rational Expressions |
Absolute Values
Absolute Values
The absolute value of a real number is the distance between its corresponding point on the number line and the number 0. The absolute value of the real number a is denoted by |a|.
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