This document provides formulas and properties for algebra 1 including the slope formula, distance formula, midpoint formula, commutative property, associative property, distributive property, identity property of addition, and identity property of multiplication. It defines slope as "rise over run" and provides the formulas for calculating slope, distance between two points, and midpoint between two points. It also explains the commutative, associative, and distributive properties and provides examples of each.

1. Formulas & Properties/Algebra 1
Slope Formula
m=y2-y1
x2-x1
*Slope is always Rise on a graph.
Run
Distance Formula
√(x2-x1)2+(y2-y1)2
Midpoint Formula
x1+x2 , y1+y2
2 2
Commutative Property-Says that you can add or multiply numbers in any order.
Addition: 5a+4=4+5a
Multiplication: 5•a=a•5
Associative Property-Says that you can group numbers in a sum or product in any
way and still get the same answer.
Addition: (9+2)+5=9+(2+5)
Multiplication: Same as Addition
Distributive Property-It tells you that if a term is multiplied by terms in parenthesis, we
need to distribute the multiplication over all the terms inside.
Ex: 6(9a+2)=54a+12
Identity Property of Addition-It tells you that zero added to any number is the number
itself.
Ex: 5+0=5
Identity Property of Multiplication-It tells you that the number 1 times any number
gives the number itself.
Ex: 5x1=5