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Math Final Exam Review
Chapter 1
Exponents:
Radicals:
Polynomials:
adding , subtracting, multiplying, dividing
factoring  look for common factors first
three termstrial and error
two terms formula or common factor
Rational expressions ( fractions with polynomials ):
adding, subtracting, multiplying , dividing
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  ax^{2} + bx + c = 0
(1) solve by factoring
(2) solve by completing the square (do not have to)
(3) solve by quadratic formula
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} = r^{2}
Lines:
(1)
(2) y = mx + b
general form
Finding function values or expressions
Domain, range, increasing, decreasing...
Stretching, shifting, reflecting of graphs
piecewise functions
Parabolas :
Standard form:
Quadratic form:
Vertex : or find average
of xint.
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:
Change of base formula:
b
Only formulas given :
Any 3D volume/surface area with the exception of a box. 
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