ACT Math Formulas: Everything You Need to Know

You must learn all of the formulae for the test ahead of time and ensure that you know them well enough to use them when needed. Abstract topics can be difficult to teach and learn, therefore you may want to explore different learning media.

To assist you, we’ve developed a list of key formulae to memorize.

Slope

The slope measures how a line varies as it moves along the x and y axes. It’s a straightforward calculation: measure the change along with the y-axis/the change along the x-axis, which is more frequently written as the increase over/divided by the run.

So, given two points on a graph (A and B) and their coordinates ((x1,y1) and (x2,y2)), the following formula would be used:

(x2x1) / (y2y1)

Algebra

Algebra is divided into two sections: linear equations and functions, and logarithms.

Beginning with linear equations and functions, you should learn the slope formula, the slope-intercept form, and the midpoint formula.

Form of Slope Intercept

You’ll want to utilize the linear equation y = MX + b for the slope-intercept form, where m is the slope and b is the y-intercept. y = MX denotes a line that passes through the origin. Always work with this simple formula since it is easier and faster to grasp, thus rephrasing equations into this formula as needed.

Midpoint

You may use the following formula to compute the x-axis and y-axis points, respectively, to find the midpoint of two points on a graph (A and B):

x-axis:

(x1+x2) / 2

y-axis

(y1+y2) / 2

For the most part, you’ll only have to rewrite logarithms like the ones below. For example

logbx = y= >by = x

or

logbxy = logbx + logby

Probability and Statistics

When looking at statistics and probability, there are a few factors to bear in mind, two of which we’ll go through.

Averages

First and foremost, you’ll want to determine the standard of a group of numbers (or phrases) or the average speed of anything. For the former, compute the mean by dividing the sum of the terms of numbers by the total number of different terms. Distance divided by time equals speed.

Probability

Probability is computed by dividing the total number of potential outcomes by the number of desired outcomes. The likelihood of two independent outcomes occurring in the same set of examinations may then be calculated by multiplying the probabilities of both events together.

Finally, consider the following:

There are several formulae to understand and memorize, and this is merely a quick crash course that barely touches the surface. More formulae may be found here for more in-depth information. Math may be pleasant if you learn the motions of its formula.