Formulas Flashcards
(am)(an)
am+n
(ab)m
(am)(bm)
ab + ac
a(b+c)
(a/b) / c
a/bc
a/b + c/d
ad + bc / bd
a-b / c-d
b-a / d-c
ab + ac / a
b + c, a != 0
a(b/c)
ab / c
a(b/c)
ac / b
a/b - c/d
ad - bc / bd
a+b / c
a/c + b/c
(a/b) / (c/d)
ad / bc
(an)m
amn
a-n
1 / an
(a/b)-n
(b/a)n
or
bn/an
an / am
an-m
or
1/am-n
a0
a0 = 1
IFF
a !=0
a n/m
(a1/m)n
or
(an)1/m
(a-b)2
a2 - b2
(a + b)2
a2 + 2ab + b2
(a3 + b3)
(a + b)(a2 - ab + b2)
(a3 + b3)
(a - b)(a2 + ab + b2)
Slope Formula
m = (y2 - y1) / (x2 - x1)
Point Slope Form
If a line passes through (x1, y1) with a slope of m then what is the equation for that line?
y - y1 = m(x - x1)
Slope Intercept Form
y = mx + b
What is the Quadratic Equation?
How do you find the midpoint of a line with 2 co-ordinates?
{ (x1 + x2) / 2, (y1 + y2) / 2 }
Symmetry with respect to X axis
For eery point (x,y) on the graph there is a (x,-y)
What is the Pythagorean Theorem?
What is it for?
A2 + b2 = c2
Used for finding sides of a right triangle
What is the formula for finding a length of a line or distance between two points?
Symmetry with respect to Y axis
For every point (x,y) on the graph there is a (-x,y)
Symmetry with respect of the Origin
For every point (x,y) on the graph there is an (-x,-y)
Vercical line slope
X = a
Undefined
Horizontal line slope
Y = a
0
Critera for Perpendicular lines
IIF the product of their slopes = -1
Standard equation of a circle
(X - h)2 + (Y - k)2 = r2
General equation of a circle
x2 + y2 + ax + by + c = 0
