Sequences and Financial Math
Compound Interest:
A =
P(1 + i)n or A
= P(1 + r/n)nt
GST rate = GST/price
Tip
rate = Tip/price or Tip
rate = Tip/(GST + price)
Arithmetic Sequence:
tn =
a + (n - 1)d Sn =
n/2 [ 2a + (n - 1)d
Geometric:
tn =
arn-1 Sn =
n/2 (a + tn) Functions Check: vertical
line test
Rational Expressions/Equations Restrictions: Look
for variables in denominators
Coordinate Geometry
The distance between A(x1,
y1)
and B(x2, y2) is:

The midpoint of the line segment joining
A(x1,
y1) and B(x2, y2) is

The line slope joining A(x1,
y1)
and B(x2, y2) is

**Number
Systems: real, rational, irrational, integers, whole, natural
Equations of Linear
Relations (Lines)
slope y-intercept: y = mx + b
point-slope: y2 - y1 = m(x2 -
x1)
**standard form: ay + bx + c = 0
**x-intercept:
y = 0, y-intercept: x = 0
Perpendicular
lines: slopes are negative reciprocals (m1 * m2 =
-1)
Functions
pass the vertical line test
Line
of Best Fit - Under construction
Multiplying
Polynomials
Factoring Polynomials with
and
without Algebra Tiles
|
Trigonometry
In any right triangle, :
c2 = a2 + b2, a2 =
c2 - b2
In any triangle, :
c2 = a2 + b2 - 2ab cosC (2
sides/contained angle)
(3
sides)
SinA = opposite CosineA
= adjacent TangentA
= opposite hypotenuse hypotenuse adjacent
Hint: S o/h C a/h T o/a Angle of Elevation = Angle of Depression: alternate angles are congruent Angle Definitions (Standard Position)**
Right Triangle Definitions **

|
Q1
|
Q2
|
Q3
|
Q4
|
sin =
y/r |
+/+ = +
|
+/+ = +
|
-/+ = -
|
-/+ = -
|
cos =
x/r |
+/+ = +
|
-/+ = -
|
-/+ = -
|
+/+ = +
|
tan =
y/x |
+/+ = +
|
-/+ = -
|
-/- = +
|
-/+ = -
|
Starting from Q4: C A S T |
A
|
S
|
T
|
C
|
|