SAT Math: Everything You Need to Know

As a standardized test, the SAT is designed to be consistent, fair, and predictable for all test-takers. While this makes preparing for and taking the test painfully boring, it also ensures that the questions always focus on the same core concepts, regardless of the specific test. These concepts are limited to material typically covered in 9th through 11th grade (think algebra, geometry, trigonometry, and basic statistics and data analysis), meaning no calculus, linear algebra, or other more advanced topics. As a result, the SAT is more about speed and accuracy than sheer difficulty. Luckily, Desmos updates as fast as you can type and never makes mistakes, making it your best friend for saving time and minimizing those pesky computational errors.

This lesson assumes that you have a working knowledge of the fundamentals presented in Desmos101. This is not a traditional math course, so you should already be familiar with the underlying math concepts.

Key Concepts

Shortcuts • Single Variable Equations • Systems of Equations • Systems of Inequalities • No Solutions • Equivalent Expressions • Composite Functions • Intercepts • The Vertex & Min/Max • Triangles • Circles • Mean & Median • Percentages • Sliders • Tables & Regressions • Other SAT Wisdom
Get Started!

Keyboard Shortcuts

Here are a few keyboard shortcuts for Desmos that may save you some precious time:

Function

\(a^b\)

\(a_b\)

\(\leq\) or \(\geq\)

\(\frac{a}{b}\)

\(\sqrt{a}\)

\(\pi\)

Shortcut

^ (Shift + 6)

_ (Shift + -)

<= or >=

/

sqrt

pi

Want to see the full list of keyboard shortcuts? Click here.

Quick Nav

To quickly zoom in and out your graph view, scroll while hovering over the graph. To change the domain/range of a particular axis, hold Shift while dragging the axis you want to resize.

Practice Question #1

\(y = \pi^{-\frac{1}{2}}\sqrt{x}\)
What is the most efficient series of keystrokes to graph this equation?

Useful Functions & Timesaves

You can find the mean of a list of numbers by typing mean(a,b,c...) in the expression list. Similarly, you can find the median by typing median(a,b,c...), as shown on the left.

If you want to enclose your entire expression in parentheses, you do Ctrl/Cmd + A to select everything, then ( or ) to add the parentheses.

If you have an expression that returns a fractional value, you can toggle between decimals and fractions by clicking the icon to the left of the corresponding line in the expression list. Try finding the simplest form of \(\frac{100}{12}\) by clicking the icon.

While it's good practice to include the dependent variable in your equations, you can omit it for single-variable equations if you just want to see the graph. For example, instead of typing \(y = 2x + 3\), you can simply type \(2x + 3\) and Desmos will automatically assume that the dependent variable is \(y\).

Want to see the full list of supported functions? Click here.

Single Variable Equations

Coming soon...

Systems of Equations

Coming soon...

Systems of Inequalities

Coming soon...

No Solutions

Coming soon...

Intercepts

Coming soon...

The Vertex & Min/Max

Coming soon...

Equivalent Expressions

Coming soon...

Composite Functions

Coming soon...

Triangles

Coming soon...

Circles

Coming soon...

Mean & Median

Coming soon...

Percentages

Coming soon...

Sliders

Coming soon...

Tables & Regressions

Coming soon...

Other SAT Wisdom

Coming soon... PRACTICE!!!