Texas Pre-Calculus CBE: The Final Math Bridge to College Calculus
Why Pre-Calculus is the highest-leverage CBE for college-bound students
For a Texas student aiming at engineering, computer science, physics, business, or any quantitative major, Pre-Calculus is the single most consequential math course in high school. It's the foundation calculus assumes — and the place most college students who struggle in Calculus I were under-prepared.
The Texas Credit by Examination (CBE) route lets a self-motivated student skip a full year of in-class Pre-Calculus by demonstrating mastery on a single 3-hour test. This guide walks through everything we know about the Pre-Calc CBE: structure, topics, study strategy, and how to know when you're ready.
Important. Texas CBE™ is an independent test-prep platform. We are not affiliated with UTHS, the University of Texas at Austin, Texas Tech University, the Texas Education Agency, or any school district. Information here is compiled from publicly available TEKS standards and UTHS / TTU study guides. Always verify the current exam with your campus counselor.
Exam structure and format
The Texas Pre-Calculus CBE is administered as two semester exams — Semester A (CHE 111.42 part 1) and Semester B (part 2). To earn full Pre-Calculus credit, you must pass both.
| Spec | Pre-Calc Sem A | Pre-Calc Sem B |
|---|---|---|
| Format | Multiple-choice, online proctored | Multiple-choice, online proctored |
| Time | 3 hours | 3 hours |
| Questions | 50 | 50 |
| Passing | 70% | 70% |
| Calculator | Graphing/scientific allowed | Graphing/scientific allowed |
| Formula sheet | Provided in-exam | Provided in-exam |
The exam is delivered through Proctorio's webcam-based proctoring system, with lockdown browser. Students typically take it from home with a quiet workspace, valid ID, and a working webcam.
What the Pre-Calculus CBE actually tests
The exam aligns to Texas TEKS §111.42, the state's Pre-Calculus standard. Topics split between the two semesters as follows:
Semester A — Functions and Non-Trigonometric Topics
- Mathematical Process Standards (1A–1G) — applying mathematics to real-world problems, multiple representations, communicating precisely with units, justifying solutions.
- Functions and Their Properties (2A–2J) — domain, range, end behavior, composition, inverse, piecewise functions, transformations (shifts, stretches, reflections).
- Polynomial and Rational Functions (3A–3D) — finding zeros, factoring, asymptotes (vertical, horizontal, slant), holes, multiplicity, end behavior, rational inequalities.
- Exponential and Logarithmic Functions (3E–3I) — properties of exponents and logs, change of base, solving exponential and logarithmic equations, growth and decay models, compound interest, half-life.
Semester B — Trigonometry and Advanced Topics
- Trigonometric Functions (4A–4G) — radian and degree measure, unit circle, sin/cos/tan/csc/sec/cot, special angles (π/6, π/4, π/3), graphs and transformations of sinusoidal functions, arc length, angular velocity, inverse trig functions.
- Trigonometric Identities and Equations (4H–4K) — Pythagorean identities, sum/difference formulas, double-angle formulas, half-angle formulas, solving trigonometric equations.
- Sequences and Series (5A–5C) — arithmetic and geometric sequences, sigma notation, partial sums, infinite geometric series convergence.
- Conics, Parametric, Polar, and Vectors (5D–5I) — circles, ellipses, parabolas, hyperbolas; eccentricity; parametric equations; polar coordinates and curves; vectors (magnitude, addition, dot product, projection).
The two hardest topic clusters
Based on UTHS and TTU study guide feedback, the two question types that produce the most failures on the Pre-Calc CBE are:
- Trigonometric equations with multiple solutions — students forget that sin(x) = ½ has TWO solutions in [0, 2π], or fail to handle the period correctly when solving sin(2x) = something. Drill these until you automatically check both reference quadrants.
- Logarithmic equations with domain restrictions — students solve ln(x) + ln(x − 3) = ln(10) algebraically and forget to reject extraneous solutions where the original log's argument would be ≤ 0. Always check domain at the end.
A 4-week preparation plan
If you have a solid Algebra 2 foundation and 4 weeks to prep, here's a sustainable schedule:
| Week | Focus | Daily time |
|---|---|---|
| Week 1 | Functions, polynomials, rational functions (Sem A foundations) | 45–60 min |
| Week 2 | Exponential, logarithmic (Sem A finish) + start unit circle (Sem B) | 60 min |
| Week 3 | Trig functions, identities, equations (Sem B core) | 60–90 min |
| Week 4 | Sequences, conics, polar, vectors + 3 full-length mock exams | 60 min + mocks |
If your Algebra 2 is rusty, add a week of foundation review before this plan. Trying to learn Pre-Calc without Algebra 2 fluency is the most common reason students fail this exam.
Who should take Pre-Calc CBE (and who shouldn't)
Good candidates:
- Strong Algebra 2 student who self-studied Pre-Calc over summer.
- Student who took a similar course (e.g., AP Pre-Calculus prep, college algebra) and wants Pre-Calc on their transcript.
- Accelerating student who plans to take Calculus the following semester and needs Pre-Calc credit.
Wait on the CBE if:
- You haven't yet seen trigonometry (unit circle, identities) — these can't be cram-learned reliably in a week.
- Your Algebra 2 mock-exam scores are below 70%.
- You haven't worked through both semesters' worth of practice problems and scored consistently above 80%.
Try a free Pre-Calc practice quiz
Our Pre-Calculus question bank covers 300 questions per semester (600 total), each tied to a specific TEKS reporting category, with detailed step-by-step explanations. The free tier gives you 10 sample questions per semester to see exactly what the exam tests.
Sources used in this article: Texas Administrative Code 19 TAC §111.42 · UT High School Credit by Exam program · Texas Tech K-12 Credit by Exams. Always confirm specific exam dates and policies with your campus counselor.