# How To Write Math Equations

## Math Sandbox

If you would like to experiment writing math equations, enter your equation in the text field or edit an existing equation by clicking on a sample below.
In sandbox mode, you do not need to enter `[math]`

and `[/math]`

.
Your equation will show beneath the input field as you type.

## How To Write Math Equations

In order for math equations to be recognized and formatted properly, they must be surrounded by special tags. When creating a question:

- Click on the
`insert a math equation`button. A dialog box will appear. - Type your equation in the field.
- Click the
`insert equation`button in the dialog box.

Your equation will automatically appear between `[math]`

and `[/math]`

.

**OR**

- Manually type a single equation between
`[math]`

and`[/math]`

Some features and limitations:

- Multiple equations can appear in both questions and answers
- All symbols below are case sensitive
`[math]`

and`[/math]`

are case sensitive

If you are still having trouble creating your equations after reading this guide, feel free to contact us.

## Addition + (plus)

Use a plus (`+`

) between two expressions. A leading and/or trailing space around the plus symbol will not change the image. Vertical addition requires a combination of symbols.

`x+y` |
[math]x+y[/math] |

`ul({:(,97),(+,234):})` |
[math]ul({:(,97),(+,234):})[/math] |

## Subtraction - (dash)

Use a dash (`-`

) between two expressions. Subtraction with regrouping requires a combination of symbols.

`x-y` |
[math]x-y[/math] |

`-x` |
[math]-x[/math] |

`ul({:( ,237),(-,94):})` |
[math]ul({:( ,237),(-,94):})[/math] |

## Multiplication xx (double x)

Use a double x (`xx`

) between two expressions.

`5xx3` |
[math]5xx3[/math] |

## Explicit Multiplication * (asterisk)

Use the asterisk (`*`

) between two expressions. A double asterisk (`**`

) produces a star.

`x*y` |
[math]x*y[/math] |

`x**y` |
[math]x**y[/math] |

## Division -: (dash colon)

Use a dash (-) followed by a colon (:) between two expresions for division. Unfortunately, there is no long division symbol.

`2bar({:)24)` |
[math]2bar({:)24)[/math] |

`x-:y` |
[math]x-:y[/math] |

## Parenthesis & Grouping Brackets

Below is a comma separated list of grouping brackets: `(`

, `)`

, `[`

, `]`

, `{`

, `}`

, `(:`

, `:)`

, `:}`

, `{:`

`{:`

and `:}`

are invisible brackets.

Grouping brackets do not have to match in style.

`(:x:)` |
[math](:x:)[/math] |

`[x}` |
[math][x}[/math] |

`{:)` |
[math]{:)[/math] |

## Fractions / (slash)

There are two ways to write fractions. The first uses a double slash (`//`

) between two expressions. This will inline the fraction. The second uses a single slash (`/`

) between two expressions. This will stack the expressions. Remember to use parenthesis when grouping expresssions with more than one term. Parenthesis are also required when grouping multiple fractions.

`x//y` |
[math]x//y[/math] |

`x/y` |
[math]x/y[/math] |

`(5x)/y` |
[math](5x)/y[/math] |

`(a/b)/(c/d)` |
[math](a/b)/(c/d)[/math] |

## Power & Exponents ^ (caret)

The expression following a caret (`^`

) will be shown in superscript.

`x^y` |
[math]x^y[/math] |

## Subscript _ (underscore)

The expression following an underscore (`_`

) will be show in subscript. Subscripts must precede superscripts.

`x_y` |
[math]x_y[/math] |

`int_0^1f(x)dx` |
[math]int_0^1f(x)dx[/math] |

`lim_(x->oo)` |
[math]lim_(x->oo)[/math] |

`H_2O` |
[math]H_2O[/math] |

## Prescripts

Prescripts can be written using subscripts and superscripts. Note the use of the invisible grouping brackets: `{:`

and `:}`

in the example below.

`{::}_92^238U` |
[math]{::}_92^238U[/math] |

## Accents

Accents can be used on any expression.

`bar(xy)` |
[math]bar(xy)[/math] |

`vecx` |
[math]vecx[/math] |

## Roots & Radicals

The expression following the text (`sqrt`

) will be shown within a radical. The n-th root can be shown by using the word `root`

followed by the value of `n`

. Notice that parenthesis are not required after `sqrt`

and `root`

.

`sqrtx` |
[math]sqrtx[/math] |

`root3x` |
[math]root3x[/math] |

## Functions

The following functions are supported:`sin`

, `cos`

, `tan`

, `csc`

, `sec`

, `cot`

, `sinh`

, `cosh`

, `tanh`

, `log`

, `ln`

, `det`

, `dim`

, `lim`

, `mod`

, `gcd`

, and `lcm`

`sin(90)` |
[math]sin(90)[/math] |

## Matrices

`[[a,b],[c,d]]` |
[math][[a,b],[c,d]][/math] |

You can view additional symbols for writing equations by navigating to a symbol set below.

- Accents
- Arrows
- Equality
- Functions
- Greek Alphabet
- Logic
- Miscellaneous
- Operators
- Parenthesis & Grouping Brackets