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What is an Equation?
An equation says that two things are equal. It will have an equals sign '=' like this:
| x | + | 2 | = | 6 |
This app is an equation editor for writing math equations, expressions, mathematical characters, and operations. You can also generate an image of a mathematical formula using the TeX language (pronounced 'tek' or 'tech'). This is useful for displaying complex formulas on your web page. TeX equation editor that creates graphical equations. A Mathematics Equation Editor. Lets you type in equations, which can be added to documents, emails, and webpages or simply exported to picture files. It features a simple graphical interface, equation list management, MathML support, and the unique feature 'Mathcasting' for adding math to XHTML. Write your calculations, equations, chemical formulas and get instant results. Write your text, preview and change the recognition results and discover all the features using our tutorial. Sketch lines and shapes, write your text, preview and export to the Microsoft PowerPoint format.
- As you see, the way the equations are displayed depends on the delimiter, in this case and ( ). Open an example in Overleaf. Mathematical modes. L a T e X allows two writing modes for mathematical expressions: the inline mode and the display mode. The first one is used to write formulas that are part of a text.
- However, the latter kind of work often involves writing Math equations in digital form. Except for people familiar with LaTeX, this is often an unfamiliar territory.
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:
- 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:
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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 '=':
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
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's' is the subject of the formula
Changing the Subject
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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
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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