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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