41 terms

# Algebra Christmas Exam that kicked my Butt Boosackman Trademark Set

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direct variation
y=kx
inverse variation
y=k/x
4 way to describe Absolute Values graphs
stretch/shrink
vertical/horizontal/combo
vertex
opens up/down
standard form
Ax+By=C
slope intercept form
y=mx+b
slope formula for 2 points
y2-y1/x2-x1
two things needed for writing the equation of a line
point and slope
parallel lines have the _______ slope
same
Perpendicular lines have _________ slopes
opposite reciprocal
slope of y=3
0
slope of x=-7
undefined
rational
Q
natural+whole+integers+all fractions and terminating decimals
real
R
natural+whole+integers+rational+irrational
natural
N
1,2,3,4,5,6,etc...
all positive whole numbers (not 0)
whole
W
natural+0
integers
Z
natural+whole+negative numbers
irrational
I
non terminating decimals without a pattern
A+7=7+A
operands can switch places
a+(b+c)=(a+b)+c
distributive
a(b+c)=ab+ac
a+0=a
commutative multiplication
A7=7A
associative multiplication
a(bc)=(ab)c
identity multiplication
a*1=a
a+(-a)=0
inverse multiplication
a*1/a=1
zero property
a*0=0
matrix
a rectangular structure used to organize data
identity matrix of addition for a 2x2
[0 0]
[0 0]
identity matrix of multiplication of multiplication for a 3x3
[1 0 0]
[0 1 0]
[0 0 1]
what must be true to add matrices together?
they must be the same size
how might you probe that 2 matrices are inverses of each other?
if you multiply them by each other and get an identity matrix and get multiplicative inverse matrices
what makes an absolute value equation shrink?
a fraction less than one before the abs. val. box
what makes an abs.val. box stretch?
a whole number greater than 1 before the box
dependent system
lines are equal, cross all same points
inconsistent system
it doesn't cross anywhere
independent system
crosses one point only
what is the difference between an equation and an inequality?
inequality has a variety of answers within a range, an equation can be inconsistent, independent, or dependent
horizontal translation
number inside the box
vertical translation
number outside the box
how to find the vertex of an abs. val. equation
opposite of number inside box (x), then outside number (y)