# algebra study guide

Last updated 11 years ago

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No topic   ORDER OF OPERATIONS

DISTRIBUTIVE PROPERTYYour mother told you to share with everyone.a (b + c) = ab + acIDENTITY PROPERTY how do you keep your identity safe?a + 0 = a (addition)a x 1 = a (multiplication)

ASSOCIATIVE PROPERTY"All Stays Same Order"(a + b) + c = a + (b + c) (a x b) × c = a × (b × c) COMMUTATIVE PROPERTY"Change Order"a + b = b + aa × b = b × a

SLOPE SLOPE SLOPE

ZERO PROPERTY x 0 = 0!a x 0 = 0b x 0=0c x 0 = 0

INVERSE PROPERTIESThe inverse property of addition states that for every number n, n + (-n) = 0. (Use opposites)The inverse property of multiplication states that for every non-zero number n, n * (1/n) = 1.

PROPERTIES!!

Given two points (x 1, y 1) and (x 2, y 2) on a line, the slope of the line is equal to: The y's are on top!

HEY, I CAN MAKE AN 'N' FOR NEGATIVE!

The x-intercept is 4 and the y-intercept* is 2*also means b is 2!

( ZERO SLOPE)POSITIVE SLOPE(UNDEFINED SLOPE)

Remeber to Rise before you Run!

m is slope, or how you move and b is y-intercept, or beginning point when counting

(USE THE RECIPROCAL)

zeros=roots=solutions=x-intercepts

(x+2) (x + 3)zeros are -2 & -3