 # Math Final Exam Review

Chapter 1
Exponents:  Polynomials:
adding , subtracting, multiplying , dividing
factoring -- look for common factors first
three terms--trial and error
two terms --formula or common factor

Rational expressions (fractions with polynomials):
Complex fractions (fraction over a fraction)
Rationalizing

Chapter 2
Solving equations :

linear
rational equations (fractions with variable in denominator)--either an answer
you can use, an answer you can’t use ( no solution ) or all real x except x =??

Applications
Solving quadratic equations-- ax2 + bx + c = 0
(1) solve by factoring
(2) solve by completing the square (do not have to) Imaginary numbers
Radical equations, absolute value equations, etc.

Inequalities, absolute value inequalities: Inequalities using a sign chart

Chapter 3
distance formula: midpoint formula: circles: (x − h)2 + ( y − k )2 = r2

Lines: equations of lines :

(1) (2) y = mx + b

general form

Finding function values or expressions
Domain, range, increasing, decreasing...

Stretching, shifting, reflecting of graphs
piece-wise functions

Parabolas :
Standard form:  Vertex : or find average of x-int.
plug in to find y

Add, subtract, multiply, divide two functions
Composition of functions f ○ g

Chapter 4

Directly proportional: y = kx
Inversely proportional: Solving (graphing) inequalities using a sign chart

Chapter 9
Two equation/two unknowns
substitution/elmination

Chapter 5
Inverse functions
Exponential equation: Logarithmic equation : Properties: Change of base formula: b

 Only formulas given : Any 3D volume/surface area with the exception of a box.
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