Mastering college algebra: overcoming common challenges
ASU helps you build your algebra skills and work towards a degree without math becoming a burden on your academic studies.
For many students, college algebra can feel overwhelming. Math often requires a strong grasp of foundational skills, and struggling with previous math courses can make advanced topics seem even more difficult. However, college algebra doesn’t have to be intimidating. With flexible course formats, structured learning strategies and a step-by-step approach, students can build confidence and master college algebra.
ASU offers an online college algebra course designed to build your algebraic skills and prepare you for advanced studies. Learning college algebra online through ASU Universal Learner Courses provides flexibility and convenience.
Why learning college algebra is vital
Algebra serves as the foundation for higher-level mathematics in various professional fields. Most colleges and universities require students to complete at least one mathematics course to earn a degree, regardless of their major. College algebra is a critical subject that introduces students to more complex algebraic concepts, equipping them with problem-solving and critical-thinking skills essential for advanced mathematics and real-world applications.
Core areas of algebra
While algebra covers a wide variety of math concepts, these are areas typically covered in a college algebra course:
- Equations and inequalities – Linear, quadratic, rational and radical equations, as well as absolute value equations and inequalities.
- Polynomial and rational functions – Graphing, factoring and analyzing the behavior of polynomial and rational functions.
- Exponential and logarithmic functions – Laws of exponents and logarithms, solving exponential and logarithmic equations and real-world applications such as compound interest and population growth.
- Systems of equations and matrices – Solving systems algebraically and graphically, using matrices for solving systems and performing matrix operations.
- Sequences and series – Arithmetic and geometric sequences, summation notation and series convergence.
How to overcome common challenges in college algebra
It’s normal for students to be challenged when learning algebra. Some of the common difficulties and strategies include:
| Topic | Challenge | Solution |
| Understanding functions and their graphs | Grasping the concept of functions, their transformations, and how to interpret graphs. | Practice plotting various functions and analyzing how changes in coefficients affect their shape. Online graphing tools, such as Desmos or graphing calculators, can help visualize these transformations dynamically. |
| Factoring and solving polynomial equations | Factoring can be tedious, and recognizing patterns takes practice. | Review factoring techniques (e.g., greatest common factor, difference of squares, trinomials) and practice with different types of polynomials. Utilize structured approaches like the trial-and-error method or the quadratic formula for difficult cases. |
| Exponents and logarithms | Logarithmic properties and rules of exponents can be confusing, especially when solving logarithmic and exponential equations. | Break down exponent and logarithm rules into simple, digestible parts. Mnemonics like “log rules” and interactive logarithm exercises can also be helpful. |
| Systems of equations and matrices | Solving systems of equations, particularly with matrices, can be overwhelming due to multiple steps involved in row operations and matrix inversions. | Students should first master solving systems using substitution and elimination before transitioning to matrices. Learning step-by-step matrix row operations and using online calculators or software like MATLAB or Excel can assist in visualizing solutions. |
| Word problems and applications | Applying algebraic concepts to word problems can be difficult because it requires translating real-world situations into mathematical expressions. | Breaking problems into smaller parts, identifying key information, and writing equations step by step can simplify complex word problems. Practicing with real-life applications such as finance (compound interest) or physics (motion equations) can make concepts more relatable. |
The ALEKS learning platform
ASU’s online math courses utilize the ALEKS learning system. Specifically, ALEKS customizes instruction based on each student’s strengths and weaknesses. Unlike traditional methods, ALEKS assesses what you already know and focuses on areas where you need improvement.
This personalized approach helps students move through concepts at their own pace, reinforcing learning and reducing frustration. By ensuring mastery of each topic before progressing, ALEKS helps build confidence and reduces math anxiety.
Online college algebra courses
Studying algebra online comes with several benefits. ASU’s online algebra course allows you to study at your own pace, balancing coursework with personal and professional commitments. This means you can access course materials from anywhere, eliminating the need for commuting. Through ASU, you earn college credit that can be used to earn admission to ASU or transfer the credits to another institution.
Invest in your future
By enrolling in ASU’s online college algebra course, you’re taking a significant step toward academic and professional success. ASU offers other online math courses such as precalculus, brief calculus for business and calculus for engineers. With the flexibility of online learning and the support of ASU’s innovative educational resources, you can achieve your goals on your terms.
How ASU supports learners at every stage of their academic journey
ASU programs–Earned Admission, Universal Learner Courses and ASU Online–provide flexible and affordable access to online learning. Your academic goals are in reach with programs tailored to meet your unique circumstances, whether you’re looking to gain admission, continue your studies at ASU or want to earn college credits to prepare for the future.
Earned Admission
ASU makes college accessible for everyone. With ASU Earned Admission, you can earn college credits online and qualify for admission to over 100 degree programs—perfect for working adults, transfer students and those returning to education. Completing this algebra course counts towards credits that will earn you admission if you complete 12 credits and maintain a GPA of 2.75 or higher. Learn more about ASU Earned Admission.
Universal Learner Courses
Earn college credits from ASU at an affordable cost—and with no risk to your GPA. There are over 60 Universal Learner Courses that are accessible for adults, high school and middle school learners who want to earn affordable college credit. This algebra course provides transferable college credits that learners can apply to a degree at ASU or other universities. Explore more Universal Learner Courses.
ASU Online
ASU Online gives you access to over 300 degree programs that are taught by world-class ASU faculty for undergraduates, graduate students and non-degree seeking learners. College algebra is offered as an online course for students participating in ASU Online programs. See what sets ASU Online apart from other programs.