Algebra formulas

Commutative Property, a + b = b + a

The order of adding numbers does not affect the sum.

Associative Property, a + (b + c) = (a + b) + c

The way in which numbers are grouped during addition does not change the sum.

Distributive Property, a(b + c) = ab + ac

When multiplying a number by a sum is the same as multiplying each separately and then adding the results.

x^-3

1/x³

x^-2

1/x²

x^-4

1/x⁴

x^-5

1/x⁵

x^-6

1/x⁶

y^m multiplyed by yⁿ

y^m+n

(y^m)ⁿ

y^{m multiplyed by n}

y^m/yⁿ

y^m-n

(xy)ⁿ

xⁿ multiplyed by yⁿ

Quadratic Formula

x = -b plus or minus radical b² --4ac divided by 2a

Equation of Axis of Symmetry

x = -b / 2a

Consecutive Integers

x

x + 1

x + 2

x + 3

Consecutive Odd Integers

x

x + 2

x + 4

x + 6

Consecutive Even Integers

x

x + 2

x + 4

x + 6

Equation of a Line

y = mx + b

y = mx + b

m = slope and b = y-intercept

Exponential Growth

P(1 - r)ⁿ

Exponential Decay

P(1 - r)ⁿ

If a equals 1

product/sum

If a does not equal 1

trial/error

< and >

dotted line

< or equal too, > or equal too

solid line

y <, < equal too

shade bellow

y >, > or equal too

shade above

x <, < or equal too

shade left

x >, > or equal too

shade right

x

domain

y

range

Slope on a Coordinate Plane

m = y₂ - y₁ divided by x₂ - x₁

Open Circle

<, >, or not equal too

Closed Circle

< or equal too, > or equal too

<

less than

>

greater than