This is a draft cheat sheet. It is a work in progress and is not finished yet.
Slopes and Graphs
slope |
(y2-y1)/(x2-x1) |
equation of a line |
y=mx+b |
midpoint |
(x2+x1/2, y2+y1/2) |
distance between two points |
√(x2-x1)2 + (y2-y1)2 |
Arcs
length of an arc |
(2πr)(degree measure of arc/360) |
area of an arc sector |
(πr2)(degree measure of arc/360) |
Trigonometry
sin(x) |
opposite/hypotenuse |
cos(x) |
adjacent/hypotenuse |
tan(x) |
opposite/adjacent |
to find the length of a side, simply substitute the other side and the angle into the above equations and solve
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Factoring
simple (a=1) |
given ax2+bx+c, find two numbers that multiply to c and add to b |
completing the square (a does not equal 1) |
given ax2+bx+c, find two numbers that multiply to ac and add to b; replace the middle term with the two numbers in terms of x; split into two groups; factor out gcf; combine those inside parentheses and those outside into two groups (see below) |
quadratic formula |
x=(-b+/-√b2-4ac)/2a |
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