Formative and Latex! Matrices and More!

Last updated 8 months ago

6 questions

Note from the author:

Learn how to use LaTex in Formative!

Instructions:
Look at each example, and recreate it using Latex in the Essay question field. Use this list of supported functions to help you!

Remember to type the code, select it, and then choose \LaTeX from the menu that appears above:

Radical sign

Recreate the following using Latex:
\sqrt[6]{x}
Then try editing the Latex to change the root to a different order, or to change the radicand. (Or both!)

Colors

Recreate the following using Latex:
\color{green}\frac{c}{d}
Then try editing the Latex to make the fraction different colors!

After that, draw a box around your fraction:
\boxed{\color{red}\frac{c}{d}}

Set-builder notation

You can use \mathbb{letter} for number sets. Recreate the following using Latex: \mathbb{R}, \mathbb{Z}

Then recreate the following:

\{x \mid x \in \mathbb{Q}, -3 \leq x < 7\}

Matrices

Some tips:
Use the \begin{matrix} and \end{matrix} to create a matrix.
Use \\ for the end of each line.
Copy and paste this example to start:

\begin{matrix} a & b \\ c & d \end{matrix}

Then recreate the following:

\begin{Bmatrix} x & y \\ a & b \end{Bmatrix}

Let's go multi-line!

Some tips:
Use the aligned environment to type a multi-line equation.
The equation begins with \begin{aligned} and ends with \end{aligned}.
The end of each line in this environment should have a double slash \\ - except for the final line.
Start by typing the following:

\begin{aligned} 2 x + 2 = x - 6 \end{aligned}

Then copy and paste the following, and compare the result when you select \LaTeX:
\begin{aligned} 2 x + 2 &= x - 6 \\ 2x + 2 - x &= x - 6 - x \end{aligned}

Note that you must type &= when you would normally type =, in order for the vertical alignment to be preserved.

Let's go multi-line - part 2!

Try to recreate the following, using the rules above:

\begin{aligned} 2x + 2 &= x - 6 \\ 2x + 2 - x &= x - 6 - x \\ x + 2 &= -6 \\ x+2-2 &= -6 - 2 \\ x &= -8 \end{aligned}

Formative and Latex! Matrices and More!

Radical signRecreate the following using Latex:\sqrt[6]{x}Then try editing the Latex to change the root to a different order, or to change the radicand. (Or both!)

ColorsRecreate the following using Latex:\color{green}\frac{c}{d}Then try editing the Latex to make the fraction different colors!After that, draw a box around your fraction:\boxed{\color{red}\frac{c}{d}}

Set-builder notation You can use \mathbb{letter} for number sets. Recreate the following using Latex: \mathbb{R}, \mathbb{Z}Then recreate the following:\{x \mid x \in \mathbb{Q}, -3 \leq x < 7\}

MatricesSome tips:Use the \begin{matrix} and \end{matrix} to create a matrix.Use \\ for the end of each line.Copy and paste this example to start:\begin{matrix} a & b \\ c & d \end{matrix}Then recreate the following:\begin{Bmatrix} x & y \\ a & b \end{Bmatrix}

Let's go multi-line - part 2!Try to recreate the following, using the rules above:\begin{aligned} 2x + 2 &= x - 6 \\ 2x + 2 - x &= x - 6 - x \\ x + 2 &= -6 \\ x+2-2 &= -6 - 2 \\ x &= -8 \end{aligned}

Radical sign

Recreate the following using Latex:
\sqrt[6]{x}
Then try editing the Latex to change the root to a different order, or to change the radicand. (Or both!)

Colors

Recreate the following using Latex:
\color{green}\frac{c}{d}
Then try editing the Latex to make the fraction different colors!

After that, draw a box around your fraction:
\boxed{\color{red}\frac{c}{d}}

Set-builder notation

You can use \mathbb{letter} for number sets. Recreate the following using Latex: \mathbb{R}, \mathbb{Z}

Then recreate the following:

\{x \mid x \in \mathbb{Q}, -3 \leq x < 7\}

Matrices

Some tips:
Use the \begin{matrix} and \end{matrix} to create a matrix.
Use \\ for the end of each line.
Copy and paste this example to start:

\begin{matrix} a & b \\ c & d \end{matrix}

Then recreate the following:

\begin{Bmatrix} x & y \\ a & b \end{Bmatrix}

Let's go multi-line - part 2!

Try to recreate the following, using the rules above:

\begin{aligned} 2x + 2 &= x - 6 \\ 2x + 2 - x &= x - 6 - x \\ x + 2 &= -6 \\ x+2-2 &= -6 - 2 \\ x &= -8 \end{aligned}