## Algebra 1 Final Exam Study Guide

PEMDAS

Order of Operations

a+(b+c)=(a+b)+c, a(bc)=(ab)c

Associative Property

a+b=b+a, ab=ba

Commutative Property

a(b+c)=ab+ac, (a+b)c=ac+bc

Distributive Property

y=b

Horizontal Line

x=a

Vertical Line

Ax+By=C

Standard Form of Linear Equation

ax2+bx+c=0

Standard Form of Quadratic Equation

y-y1=m(x-x1)

Point-Slope Form

y=mx+b

Slope-Intercept Form

Q1=(1,1)Q2=(-1,1)Q3=(-1,-1)Q4=(1,-1)

Quadrants of a Graph

every number can be written as a product of prime numbers

Fundamental Theorem of Arithmetic

ax2=quadratic,bx=linear,c=constant

Terms in Quadratic Trinomial

a2+b2=c2, c2=a2+b2

The Pythagorean Theorem

> < =, only one at a time

3 possible relationships between numbers

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