The next and final phase of ACCUPLACER’s math exam comprises the college-level test. The purpose of the test is to measure your capacity to solve college-level mathematical problems. There’s no shortcut to it.

As long as your basics arithmetic concepts are clear, you will be able to solve the most complex problems without any trouble. In fact, students are known to find several topics quite interesting.

Although the college level math test is divided into five segments, students are free to prepare for the topics on their own terms. The goal of this article is to simplify and help you understand how to pass the core concepts of this college-level math test.

The test starts with linear equations, solving systems of equations, and that includes simplification. After that, you can expect to see problems about linear applications with graphs, analytical interpretation of descriptive statistics, and finally a sub-section on geometry.

Students who are just getting started in pre-algebra would have to understand the calculation of **area**, **circumference**, and **perimeter**. The major topics for algebra include in-depth calculation of **Pythagorean** **Theorem**. And apart from solving the theorem, you will be asked how it relates to a given perimeter, volume, or area.

**Linear Applications and Graphing**

After solving systems of equations, students will be required to solve linear equations with graphs. And that means solving equations contextually on a graph paper as well.

To master the workability of this sub-section, make sure you understand how each component of the graph functions. Also, equations can be written in various forms. Thus, it’s best that you grasp the concepts with an analytical mindset.

From there on out, students are required to calculate points, such as finding the **midpoint** of two points and **distance** between two points. Similarly, you can use the Pythagorean Theorem to solve these points on the coordinate plane.

**Interpretation of Functions**

Students can’t outright expect to identify or classify the various functions. It may sound rudimentary, but it’s vital to understand how **dependent** and **independent** **variables** work, or how the **argument** is substituted, and what a **domain **means and involves**. **

Furthermore, functions can also be manipulated via **horizontal** and **vertical** **shift**. The trick is to know exactly when to stretch or compress the paradigm shift.

**Types of Functions**

Students often have a hard time dealing with the structure and behavior of the functions. And they are classified into **constant**, **identity**, **linear**, and **polynomial** **functions**. However, **quadratic** is the most widely used function. Others may include **rational**, **absolute** **value**, **square** **root**, and **exponential** **functions**.

Moreover, you will be asked to solve **logarithmic** **functions**, which are equations with a varying format. Logarithmic encompasses **monotone**, **even**, **one**–**to**–**one**, **odd**, **algebraic**, and **transcendental** **functions**.

**Solving Logarithmic Concepts**

To apply the operations of functions, first, you must know how to find the **difference**, **product**, **sum**, or **quotient** of two functions.

And logarithmic topics range from the **remainder**, **factor**, and **rational** **root** **theorem**. That said, the variables attached to each concept could have a **direct** or **inverse** functional rate.

**Understanding Trigonometry**

The three major functions of trigonometry comprise **sine**, **cosine**, and **tangent**. Additionally, you might also be asked to solve reciprocal functions, such as **cosecant**, **secant**, and **cotangent**, which are not as broadly used as the prime functions.

Also, be prepared to solve trigonometric identities that involve **sum** and **difference**, **half**–**angle** **formulas**, **double** **angle** **formulas**, and **complementary** **angles**. Besides, don’t forget that the Pythagorean Theorem can also be applied to trigonometry concepts.

Practice as much as you can on the table used for **encounter** **angles**. Subsequently, it will help you navigate between the **unit** **circle**, **standard** **position**, and **rectangular** **coordinates**.

**Series and Sequences**

You will be required to solve **divergent** and **convergent** **sequences**. The underlying function of two sequences has the same limitations as before. In the same manner, students can expect to get **monotonic** and **arithmetic** sequences.

And many students later find that they already knew **recursive** **sequence** as it is also called the **Fibonacci** **Sequence**.

The **geometric** and **infinite** **series** should also be one of your top priorities as both are frequently tested in the college-level math test.

**UGO Prep is here to Help you**

We understand the climactic response most students are used to when it comes to the ACCUPLACER math test. We’re here to guide you through all the complexities of the college-level math exam. Our goal has always been to provide more than just a go-to guide for students. And UGO is experienced enough to help you focus on the ACCUPLACER topics that matter the most.