## Part 2 of Essential Formulas to Know

Formulas are part of math at every step of the way. We have compiled a list of essential math formulas that you will often see in the different grades. These formulas range from the distributive property to Linear formulas.

**Distributive Property Formula**

The Distributive Property allows us to solve an expression in the form of a(b+c).

- a(b+c) = ab + ac

**Formula for F.O.I.L.-ing**

The “FOIL” method stands for “First, Outer, Inner, Last”

The sum of:

Multiplying the First terms

Multiplying the Outer terms

Multiplying the Inner terms

Multiplying the Last terms

(a+b) (c+d) = ac + ad + bc + bd

**Volume Formulas of Different Shapes**

- Volume of a Prism = (base area) x (height) =
*bh* - Volume of Rectangular Prism = (length x width x height)=
*lwh* - Volume of Triangular Prism = ½ (triangle base) (triangle height) = ½
*bhl* - Volume of a Cylinder = (𝛑 x (radius)
^{2}) x (height) = 𝛑*r*^{2}*h* - Volume of a Pyramid = ⅓ ((rectangle base) (rectangle height)) x (pyramid height)= 1/3
*lwh* - Volume of a Cone = ⅓(𝛑 x (radius)
^{2}) x (height) = ⅓ 𝛑*r*^{2}*h* - Volume of a Sphere = 4/3𝛑(radius)
^{3 }

## The Most Essential Math Formulas to Know in High School

Although most of the Math formulas in High School are important to know, middle school is a great chance to memorize and work on these formulas that will be used often.

**Quadratic Formula**

The standard form is ax2 + bx +c = y, where you’ll set y equal to 0, and solve for x by factoring or using the formula below:

- (x2-y2)=(x+y)(x-y)
- x2+2xy+y2=(x+y)2
- x2-2xy+y2=(x-y)2

**Cross Multiplication**

- If a/b = c/d, then ad = bc.

**12. Absolute Value**

- If x = 4,then x = 4 or x = -4
- If x > 4,then −4<x<4
- If X > 4,then x<−4 or x>4

**Linear Function**

- linear: y=mx + b (linear function)

Written by Pam Crum

Edited by Michael Leonard