What is an Equation?
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- EquatIO software allows you to create mathematical equations, formulas and more directly on your computer. Simply type, handwrite or dictate any expression, and EquatIO will convert it to accurate digital math which can be added into a Microsoft Word doc or G Suite apps with a click.
- Online LaTeX equation editor, generate your mathematical expressions using LaTeX with a simple way. Functions ln log exp lg sin cos tan csc sec cot sinh cosh tanh coth arcsin arccos arctan arccsc arcsec arccot argsinh argcosh argtanh.
- The writing done in a math class is very similar to the writing done for other classes. Your are probably already used to writing papers in other subjects like psychology, history, and literature. You can follow many of the same guidelines in a mathematics paper as you would in a paper written about these other subjects.
To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own. Solving Equations Video Lesson. Khan Academy Video: Solving Simple Equations; Need more problem types?
An equation says that two things are equal. It will have an equals sign '=' like this:
x | + | 2 | = | 6 |
That equations says: what is on the left (x + 2) is equal to what is on the right (6)
So an equation is like a statement 'this equals that'
(Note: this equation has the solution x=4, read how to solve equations.
What is a Formula?
A formula is a fact or rule that uses mathematical symbols.
It will usually have:
It will usually have:
- an equals sign (=)
- two or more variables (x, y, etc) that stand in for values we don't know yet
It shows us how things are related to each other.
Example: The formula for finding the volume of a box is:
V = lwh
V stands for volume, l for length, w for width, and h for height.
When l=10, w=4, and h=5, then:
V = 10 × 4 × 5 = 200
These are all equations, but only some are formulas:
x = 2y - 7 | Formula (relating x and y) |
a2 + b2 = c2 | Formula (relating a, b and c) |
x/2 + 7 = 0 | Not a Formula (just an equation) |
Without the Equals
Sometimes a formula is written without the '=':
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Example: The formula for the volume of a box is:
lwh
But in a way the '=' is still there, because we can write V = lwh if we want to.
Subject of a Formula
The 'subject' of a formula is the single variable (usually on the left of the '=') that everything else is equal to.
Example: in the formula
s = ut + ½ at2
's' is the subject of the formula
Changing the Subject
A very powerful thing that Algebra can do is to 'rearrange' a formula so that another variable is the subject.
Example: Rearrange the volume of a box formula (V = lwh) so that the width is the subject
divide both sides by h:V/h = lw
swap sides:w = V/(hl)
So if we want a box with a volume of 12, a length of 2, and a height of 2, we can calculate its width:
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= 12 / (2 × 2)
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= 3