1
Q
(am)(an)
A
am+n
2
Q
(ab)m
A
(am)(bm)
3
Q
ab + ac
A
a(b+c)
4
Q
(a/b) / c
A
a/bc
5
Q
a/b + c/d
A
ad + bc / bd
6
Q
a-b / c-d
A
b-a / d-c
7
Q
ab + ac / a
A
b + c, a != 0
8
Q
a(b/c)
A
ab / c
9
Q
a(b/c)
A
ac / b
10
Q
a/b - c/d
A
ad - bc / bd
11
Q
a+b / c
A
a/c + b/c
12
Q
(a/b) / (c/d)
A
ad / bc
13
Q
(an)m
A
amn
14
Q
a-n
A
1 / an
15
Q
(a/b)-n
A
(b/a)n
or
bn/an
16
Q
an / am
A
an-m
or
1/am-n
17
Q
a0
A
a0 = 1
IFF
a !=0
18
Q
a n/m
A
(a1/m)n
or
(an)1/m
19
Q
(a-b)2
A
a2 - b2
20
Q
(a + b)2
A
a2 + 2ab + b2
21
Q
(a3 + b3)
A
(a + b)(a2 - ab + b2)
22
Q
(a3 + b3)
A
(a - b)(a2 + ab + b2)
23
Q
Slope Formula
A
m = (y2 - y1) / (x2 - x1)
24
Q
Point Slope Form
If a line passes through (x1, y1) with a slope of m then what is the equation for that line?
A
y - y1 = m(x - x1)
25
Slope Intercept Form
y = mx + b
26
What is the Quadratic Equation?
27
How do you find the midpoint of a line with 2 co-ordinates?
{ (x1 + x2) / 2, (y1 + y2) / 2 }
28
Symmetry with respect to X axis
For eery point (x,y) on the graph there is a (x,-y)
29
What is the Pythagorean Theorem?
What is it for?
A2 + b2 = c2
Used for finding sides of a right triangle
30
What is the formula for finding a length of a line or distance between two points?
31
Symmetry with respect to Y axis
For every point (x,y) on the graph there is a (-x,y)
32
Symmetry with respect of the Origin
For every point (x,y) on the graph there is an (-x,-y)
33
Vercical line slope
X = a
Undefined
34
Horizontal line slope
Y = a
0
35
Critera for Perpendicular lines
IIF the product of their slopes = -1
36
Standard equation of a circle
(X - h)2 + (Y - k)2 = r2
37
General equation of a circle
x2 + y2 + ax + by + c = 0
Mathematics
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