Tag: math on the fly

Algebra ACT Math Prep: Quadratic Equations

Posted on by Nathaniel

In this ACT Math prep video, we cover quadratic equations, which are polynomial equations where the highest degree or power is x2. We cover various methods for solving the problem which includes factoring, solving by square roots, using the quadratic formula, as well using the discriminant.

The example used in the video will be based off the following ACT math problem below:

Click here to see the problem.

This is the practice exercise we will work out in the video:

This practice problem is considered a MEDIUM to HARD difficulty problem.

Algebra ACT Math Prep: Geometric Series

Posted on by Nathaniel

In this ACT Math prep video, we get into the topic of geometric sequences and series. A geometric series occurs when numbers in a multiplication pattern are added together. When there are few terms in a geometric series to add up, it is easy to use a basic calculator. When you need to add up a lot of terms, a formula can to be used to quickly get the sum.

The example used in the video will be based off the following ACT math problem below:

Click here to see the problem.

This is the practice exercise we will work out in the video:

This practice problem is considered a MEDIUM difficulty problem.

Algebra ACT Math Prep: Distance, Rate & Time

Posted on by Nathaniel

In this ACT Math prep video, we cover a distance, rate and time problem. Many students have a hard time with these types of problems because they are usually in the form of long word problems that require careful reading comprehension. In this ACT math example, we break down a trip into parts to get the desired solution.

The example used in the video will be based off the following ACT math problem below:

Click here to see the problem.

This is the practice exercise we will work out in the video:

This practice problem is considered a MEDIUM to HARD difficulty problem.

Trigonometry ACT Math Prep: Right Triangle Trigonometry

Posted on by Nathaniel

In this ACT Math post, we cover right triangle trigonometry, a concept that shows up on every ACT test. We go through a brief overview of sine, cosine and tangent, draw triangles to find the ratios, and use the Pythagorean Theorem to aid in solving the problem.

The example used in the video will be based off the following ACT math problem below:

Click here to see the problem.

This is the practice exercise we will work out in the video:

This practice problem is considered a MEDIUM difficulty problem.

Pre-Algebra ACT Math Prep: Factors and Primes

Posted on by Nathaniel

For this ACT Math post, we are going to delve briefly into number theory. On every ACT test, you are going to see problems related to either factors, multiples, primes, or a combination of all three types of numbers. We cover a basic example that involves finding factors of numbers, as well as recognizing prime numbers.

The example used in the video will be based off the following ACT math problem below:

Click here to see the problem.

This is the practice exercise we will work out in the video:

This practice problem is considered an EASY to MEDIUM difficulty problem.

Probability ACT Math Prep: Multiple Events and Complements

Posted on by Nathaniel

For this post, we will be dealing with the topic of probability. In the video, we cover how to find the probability of separate events that come right after each other. We also cover how to use complements, or the “opposite” of an event, to find probability.

The example used in the video will be based off the ACT math problem below:

Click here to see the problem.

This is the practice exercise we will work out in the video:

This practice problem is considered a HARD difficulty problem.

Geometry ACT Math Prep: Ratios and Areas of Polygons

Posted on by Nathaniel

Sometimes we may need to figure out the areas of several shapes to solve an ACT math problem. We can use basic shapes like rectangles and triangles to find the area of less common figures such as pentagons and hexagons.

The example used in the video will be based off the following ACT math problem below:

Click here to see the problem.

This is the practice exercise we will work out in the video:

This practice problem is considered a MEDIUM to HARD difficulty problem.

Statistics ACT Math Prep: Arithmetic Mean and Averages

Posted on by Nathaniel

For this post, we will cover ACT math examples that involves the arithmetic mean. One type of problem that the ACT likes to use is to start off with a group of scores with a known average. Next, a score is added or subtracted from the original scores, and then the new average of the scores has to be calculated.

Our examples in the video will be based off the following ACT math problem below:

Click here to see the problem.

These are the two practice exercises we will work out in the video:

The practice problems are considered MEDIUM difficulty problems.

Pre-Algebra ACT Math Prep: Combining Ratios

Posted on by Nathaniel

Ratios are shown in a variety of ways on the ACT. If two different ratios have an item in common, you can use the two ratios to create a new ratio.

The example used in the video will be based off the following ACT math problem below:

Click here to see the problem.

This is the practice exercise we will work out in the video:

This practice problem is considered a MEDIUM difficulty problem.

Pre-Algebra ACT Math Prep: Fractions of Amounts

Posted on by Nathaniel

For this ACT math post, we will be covering prealgebra and finding fractions of amounts. Even though working out fractions of groups by hand is simple compared to other concepts, we aid in understanding the concept better by showing the problem worked out by hand, as well as with pictures.

The example used in the video will be based off the following ACT math problem below:

Click here to see the problem.

This is the practice exercise we will work out in the video:

This practice problem is considered an EASY difficulty problem.