1.1 Equations : Impossible Solution : Many Solutions : All solutions	Linear Equations: ax + b = 0 Possible Outcomes: Identity: all values of x is true, e.g. sin2 x + cos2 x = 1, Contradictions: e.g Conditional: some values of x is true, e.g. 3x + 1 > 4
1.2 Applications of Linear Equations ax + b = 0: Linear Formula P = 2W + 2L: Perimeter of Rectangular Speed = distance / time Interest Earned = Principle x Interest Rate Average = sum of items / total items	Problem Solving Strategy Perimeter, P = 2W + 2L Interest Rate: Interest, I = % rate x amount Break-even point: Solution to 2 equations set equal to each other Mixture Problem: Sum of % of each components = % in final mixture Uniform Motion Problem;
1.3 Quadratic Equations : Standard Form Quadratic Formula: Graphs of Quadratics Quadratic Program Web   or   MS Excel	Standard form of Quadratic: Zero form: Vertex form: From Standard Form: (a) Roots of quadratic for y = 0 (Quadratic Formula) (b) Complete the Square to Vertex Form, a = 1: Discriminant:   (a) If , roots are unequal real numbers (b) If , roots are equal real numbers (c) If , roots are unreal numbers
1.4 Applications of Quadratic Equations Solve for W given P and L when P = 2W + 2L Find s, given a and time, Find t when	Perimeter Problem: Length given perimeter Speed Problem - Round Trip given average speed Vertical Motion Problem; Height of object with time
1.5 Complex Numbers (a + bi), : Complex Number The i-th continuum	Addition (a + bi) + (c + di) = (a + c) + (b + d)i Substraction (a + bi) - (c + di) = (a - c) + (b - d)i   Multiplication (a + bi)(c + di) = a(c + di) + bi(c + di) Complex conjugate of (a + bi) is (a - bi) Absolute Value:
1.6 Polynomial and Radical Equations If a = b, then , for n all real numbers and	Factor Polynomials by Grouping Powers Solve radical equations by eliminating radical   same as
1.7 Inequalities	For x > k For Solve Solve
1.8 Absolute Value	Equality , so  (x + 2) = -4 and (x + 2 ) = 4 Inequality   Double Absolute value