# Algebra Christmas Exam that kicked my Butt Boosackman Trademark Set

### 41 terms by Alan9193

#### Study  only

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y=kx

y=k/x

### 4 way to describe Absolute Values graphs

stretch/shrink
vertical/horizontal/combo
vertex
opens up/down

Ax+By=C

y=mx+b

y2-y1/x2-x1

point and slope

same

### Perpendicular lines have _________ slopes

opposite reciprocal

0

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)

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

a(b+c)=ab+ac

a+0=a

A7=7A

a(bc)=(ab)c

a*1=a

a+(-a)=0

a*1/a=1

a*0=0

### matrix

a rectangular structure used to organize data

[0 0]
[0 0]

[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)

Example: