Algebra Flashcards
1
Q
r + s =
A
s + r
2
Q
(r + s) + t =
A
r + (s + t)
3
Q
r ( st ) =
A
rs ( t )
4
Q
r ( s + t ) =
A
rs + rt
5
Q
Percent change =
A
( Difference / Original ) x 100
6
Q
ca + cb =
A
c(a + b)
7
Q
ca - cb =
A
c(a - b)
8
Q
(a + b)^2
A
a^2 + 2ab + b^2
9
Q
(a - b)^2
A
a^ - 2ab + b^2
10
Q
a^2 - b^2
A
(a+b)(a-b)
11
Q
(a+b)^3
A
a^3+3a^2b+3ab^2+b^3
12
Q
(a-b)^3
A
a^3-3a^2b-3ab^2-b^3
13
Q
a^-1
A
1/a
14
Q
(x^a)(x^b)
A
x^a+b
15
Q
(x^a)/(x^b)
A
x^a-b
16
Q
x^0
A
1
17
Q
0^0
A
Undefined
18
Q
(x^a)(y^a)
A
(xy)^a
19
Q
(x/y)^a
A
(x^a)/(y^a)
20
Q
(x^a)^b
A
x^ab
21
Q
Quadratic Formula
A
x = (-b +/- (b^2 - 4ac)^1/2)/2a
22
Q
Slope form
A
y = mx+b
23
Q
Distance formula
A
((x-x)^2 + (y-y)^2))^1/2
24
Q
Circle formula
A
(x-a)^2 + (y-b)^2 = r^2
25
Q
Center of circle
A
(a, b)
26
Q
Triangle inequality
A
|r+s| </= |r| + |s|
27
Q
|r| |s|
A
|rs|
28
Q
r^2 if r>1
A
> r
29
Q
s^2 if 0<s<1
A
<s
30
Q
Rate formula
A
d = r/t
31
Q
Simple interest formula
A
V = P(1+rt/100)
32
Q
Compound interest formula
A
V = P(1+r/100)^nt
