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GRE Algebra
Algebra Notes
27
Other
Not Applicable
11/18/2014
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Term
(a+b)^2 identity
 Definition
a^2 + 2ab + b^2
Term
a^2 + 2ab + b^2 identity
 Definition
(a+b)^2
Term
a^2-b^2 identity
 Definition
(a+b)(a-b)
Term
(a-b)^3 identity
 Definition
a^3 - 3a^2b + 3ab^2 - b^3
Term
(x^a)(x^b)
(x^2)(x^3)
 Definition
x^(a+b)
x^5
Term
(x^a)(y^a)
(x^2)(y^2)
 Definition
(xy)^a
(xy)^2
Term
(x^a)^b
(x^5)^2
 Definition
x^(ab)
x^10
Term
(x+y)^2
 Definition
x^2 + 2xy + y^2
Term
(x+y)/a
 Definition
(x/a)+(y/a)
Term
quadratic formula
ax^2 + bx + c = 0
 Definition
x = -b plus or minus the square root of b squared - 4ac all over 2a
Term
if both sides of an inequality are multiplied or divided by a negative
 Definition
reverse the sign
Term
domain of a function f(x)
 Definition
set of all permissible values of the variable X
Term
a fraction is not defined when 0 is in the...
 Definition
denominator
Term
Simple interest
 Definition
based only on the initial deposit
V=P(1+ rt/100)

V: value
P: Principle
R: rate %
t: time years
Term
compound interest
 Definition
interest added to priniciple at regular intervals. INterest is earned on the new principle.
V=P(1+r/100)^t
V: value
P: Principal
r: rate %
t: time years
Term
slope
 Definition
rise/run
Term
slopes of parallel lines
 Definition
equal
Term
slopes of perpendicular lines
 Definition
negative reciprocals
2 & -1/2
Term
find x intercept by...
 Definition
setting y to 0
Term
y= ax + b
what is a and b
 Definition
a: slope
b. y intercept
Term
parabola equation and rules
 Definition
equation: quadratic ax^2 + bx + c = 0
x intercepts: solutions to the equation
a positive: opens upward
Term
find the intersection of two functions
 Definition
set them equal to one another
Term
circle equation
 Definition
(x-a)^2 + (y-b)^2 = r^2
center at (a, b)
radius r
Term
graph of h(x) + c
y = x + 2
 Definition
shifted upward by c units
shifted upward by 2 units
Term
graph of h(x) - c
y = x-2
 Definition
shifted downward by c units
shifted downward by 2 units
Term
graph of h(x+c)
y=(x+1)^2
 Definition
shifted to the left by c units
shifted to the left by 1 unit
Term
graph of h(x-c)
y=(x-1)^2
 Definition
shifted to the right by c units
shifted to the right by 1 unit
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