## What is an Equation?

An equation says that 2 things space equal. That will have actually an equals sign "=" favor this:

x | + | 2 | = | 6 |

That equations says: **what is ~ above the left (x + 2) is equal to what is ~ above the ideal (6)**

So one equation is favor a **statement** "this equals that"

(Note: this equation has actually the systems **x=4**, read just how to deal with equations.

You are watching: What is the difference between a formula and an equation

## What is a Formula?

A formula is a reality or ascendancy that uses mathematical symbols.** the will typically have:**

**an equates to sign (=) two or more variables**(x, y, etc) the stand in for worths we don"t recognize yet

It reflects us just how things are pertained to each other.

### Example: The formula for finding the volume of a crate is:

V = lwh

**V** stands for volume, **l** because that length, **w** because that width, and also **h** for height.

When l=10, w=4, and h=5, then:

** V = 10 × 4 × 5 = 200**

These room all equations, but only some are formulas:

x = 2y - 7 | Formula (relating x and also y) |

a2 + b2 = c2 | Formula (relating a, b and c) |

x/2 + 7 = 0 | Not a Formula (just one equation) |

## Without the Equals

Sometimes a formula is created without the "=":

### Example: The formula because that the volume that a crate is:

**lwh**

But in a method the "=" is tho there, due to the fact that we have the right to write **V = lwh** if we want to.

See more: How Much Water Does It Take To Fill A Bathtub ? How Long Does It Take To Fill An Average Bathtub

## Subject that a Formula

The "subject" the a formula is the single variable (usually on the left the the "=") that everything else is equal to.

### Example: in the formula

s = ut + ½ at2

"s" is the subject of the formula

## Changing the topic

A very an effective thing the Algebra have the right to do is to "rearrange" a formula therefore that another variable is the subject.

### Example: Rearrange the volume that a crate formula (**V = lwh**) so that the width is the subject

Start with:

**V = lwh**

divide both sides by h:

**V/h = lw**

divide both political parties by l:

**V/(hl) = w**

swap sides:

**w = V/(hl)**

So if we desire a box through a volume that 12, a size of 2, and a height of 2, we have the right to calculate that width:

w = V/(hl)

= 12 / (2 × 2)

= 12 / 4

= 3

arrival to Algebra Algebra index