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
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3 possible relationships between numbers