# 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 $ and $. 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 $ and $.

OR

• Manually type a single equation between $ and $

Some features and limitations:

• Multiple equations can appear in both questions and answers
• All symbols below are case sensitive
• $ and $ are case sensitive

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 $x+y$ ul({:(,97),(+,234):}) $ul({:(,97),(+,234):})$

## Subtraction - (dash)

Use a dash (-) between two expressions. Subtraction with regrouping requires a combination of symbols.

 x-y $x-y$ -x $-x$ ul({:( ,237),(-,94):}) $ul({:( ,237),(-,94):})$

## Multiplication xx (double x)

Use a double x (xx) between two expressions.

 5xx3 $5xx3$

## Explicit Multiplication * (asterisk)

Use the asterisk (*) between two expressions. A double asterisk (**) produces a star.

 x*y $x*y$ x**y $x**y$

## Division -: (dash colon)

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

 2bar({:)24) $2bar({:)24)$ x-:y $x-:y$

## 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:) $(:x:)$ [x} $[x}$ {:) ${:)$

## 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 $x//y$ x/y $x/y$ (5x)/y $(5x)/y$ (a/b)/(c/d) $(a/b)/(c/d)$

## Power & Exponents ^ (caret)

The expression following a caret (^) will be shown in superscript.

 x^y $x^y$

## Subscript _ (underscore)

The expression following an underscore (_) will be show in subscript. Subscripts must precede superscripts.

 x_y $x_y$ int_0^1f(x)dx $int_0^1f(x)dx$ lim_(x->oo) $lim_(x->oo)$ H_2O $H_2O$

## Prescripts

Prescripts can be written using subscripts and superscripts. Note the use of the invisible grouping brackets: {: and :} in the example below.

 {::}_92^238U ${::}_92^238U$

## Accents

Accents can be used on any expression.

 bar(xy) $bar(xy)$ vecx $vecx$

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 $sqrtx$ root3x $root3x$

## 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) $sin(90)$

## Matrices

 [[a,b],[c,d]] $[[a,b],[c,d]]$

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