 # Essential Formulas for Math Class

## 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 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) = 𝛑r2h
• Volume of a Pyramid = ⅓ ((rectangle base) (rectangle height)) x (pyramid height)= 1/3lwh
• Volume of a Cone = ⅓(𝛑 x (radius)2) x (height) = ⅓  𝛑r2h
• 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. 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

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