Algebra & Pre-Calculus Associate Certification
The algebraic engine room — functions, equations and the bridge to calculus
Key facts
- Level: Associate
- Field: Mathematics
- Estimated study time: about 30 hours
- Credential price: $79
- Exam: 72 questions · 110 minutes · pass mark 72%
About the Algebra & Pre-Calculus Associate certification
The Algebra & Pre-Calculus Associate certification proves you have the algebraic fluency and functional thinking that every quantitative discipline depends on — the gateway skill for calculus, physics, engineering, economics, data science and computer science. You will master polynomial algebra (operations, factoring, the factor and remainder theorems, and finding roots); quadratics in depth (completing the square, the quadratic formula, and what the discriminant tells you); rational expressions and equations (simplifying, common denominators, and extraneous solutions); radical and exponential equations; the full theory of functions (domain and range, composition, inverses, transformations, and even/odd symmetry); exponential and logarithmic functions with all the laws of logs and exponents; systems of equations and inequalities (substitution, elimination, and graphical regions); the binomial theorem and Pascal's triangle; arithmetic and geometric sequences and series; a thorough grounding in trigonometry (the unit circle, the six ratios, the fundamental identities, graphs, radians, and the laws of sines and cosines); complex numbers and their arithmetic; the conic sections (parabola, circle, ellipse, hyperbola); the basics of matrices and vectors; and a first, intuitive introduction to limits that sets up calculus. Every topic is taught and tested with worked, numerical problems — you finish able to manipulate expressions confidently, solve equations of every standard type, reason about functions and their graphs, and step into a first calculus course without gaps. It builds directly on arithmetic and the foundations of algebra.
What you will learn
The official Algebra & Pre-Calculus Associate study course covers:
- Polynomials & Quadratics — Operations, factoring, the factor/remainder theorems, and solving quadratics every way.
- Rational, Radical & Exponential Equations — Simplifying rational expressions and solving rational, radical and exponential equations safely.
- Functions & Transformations — Domain/range, composition, inverses, even/odd symmetry, and graph transformations.
- Exponentials & Logarithms — Exponential and log functions, the laws of exponents and logs, and solving log equations.
- Systems, Sequences & the Binomial Theorem — Solving systems and inequalities, arithmetic/geometric sequences and series, and binomial expansion.
- Trigonometry, Complex Numbers, Conics & Limits — The unit circle, identities and laws, complex arithmetic, the conic sections, vectors and a first look at limits.
Prerequisites
Frequently asked questions
- Is the Algebra & Pre-Calculus Associate certificate verifiable?
- Yes. Every issued Hootix Academy certificate carries a unique credential code that anyone can verify online.
- How is the Algebra & Pre-Calculus Associate exam structured?
- It is a 110-minute proctored multiple-choice exam of 72 questions; you need 72% to pass.
- Do I need to buy the course to take the exam?
- You can purchase the certification exam on its own, or bundle it with the full study course at a reduced price.
- How long does the Algebra & Pre-Calculus Associate course take?
- About 30 hours of self-paced study.