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微积分预备 CBE — Practice Tests & Mock Exams

德州 CBE 备考 · TEKS §111.42（非 AP® Precalculus）。函数、三角学、数列、圆锥曲线和解析几何 — Algebra 2 和微积分之间的桥梁。本服务为通过 UT High School / Texas Tech K-12 获得 CBE 学分的德州高中水平 Precalculus 备考；非 College Board 的 AP® Precalculus 考试备考。AP® 是 College Board 的注册商标，与本产品无关。

Built for the Texas CBE — also used by students in 9 states and 5 countries Free sample — no signup 仅限德州 CBE — 非 College Board 的 AP® 考试备考
Try the free practice testno payment · no signupUnlock full practice$19.99 $29.99 · 6 months

Practice tests & mock exams

Free practice gives instant feedback on every answer. The full mock mirrors the real exam's length and timing.

Semester A
50 questions · 180 min · 80% to pass
Free practice
Semester B
50 questions · 180 min · 80% to pass
Free practice
练习是怎样运转的

一份告诉你下一步该做什么的模拟考

光有分数教不了什么。每一次限时作答都按主题计分，所以结果是一张"该练什么"的清单，而不是一个让人沮丧的数字。

1
做一次限时模拟考
完整长度、真实限时，每次从题库重新抽取。
2
看清哪些主题在扣你的分
按主题统计正确率，汇总该科目的每一次作答，而不只是最近一次。
3
主攻最弱的主题，然后重考
针对那一个主题的集中题组，没做过的题优先。然后再考一次，看着清单变短。

How the practice works

A worked solution on every question
Not just the letter. Each answer opens into the full reasoning, so a wrong answer teaches you something instead of just costing a point.
Full-length mocks under the real clock
Each mock is drawn at random from a much larger pool, so you can sit it again and again and meet new questions each time.
You see which categories are weak
Accuracy is tracked per reporting category, and every question you miss lands in a wrong-answer notebook you can work through later.
Six months, re-take as often as you like
One purchase covers the whole prep window — practice, mock, review, repeat, at whatever pace the exam date allows.
Already took a free practice? Here's what your score means.
85%+ cold
You're likely ready for the official 微积分预备 Credit by Examination. Register with your counselor and take 1–2 full timed mocks to lock it in.
70–85%
Solid foundation, real prep needed. 4–6 weeks of timed mocks with AI explanations on every wrong answer.
Under 70%
Concept-level gaps. Start with the Concept Lessons below, then return to practice once the underlying topic clicks.

Passing-score thresholds vary by district (Texas state code: 80% for §28.023 acceleration, 70% for §74.24 prior-instruction credit). Confirm your specific district's threshold with your school counselor in writing.

Recommended prep

Students usually take 代数 2 before 微积分预备. You can still start here anytime — this is a study-order guide, not a requirement.

Learn the Concepts

Visual lessons that build 微积分预备 from first principles — diagrams, worked examples, embedded practice.

Concept lesson · 10 min
Pre-Calculus 核心公式
单位圆、三角恒等式、圆锥曲线、数列与多项式函数。
Concept lesson · 7 min
函数：定义域、值域，以及你真正需要的记号
掌握函数的"语言"——domain 和 range 到底是什么、怎么读 function notation，以及为什么分段函数最容易踩坑。
Concept lesson · 6 min
函数变换：平移、伸缩、翻折
一个函数的四种基本变换——如何从方程一眼识别，并在几秒内预测新图像。
Concept lesson · 7 min
多项式函数：零点、重数与末端行为
为什么有些零点在 x 轴上"弹回"，另一些却直接穿过——以及首项如何决定远处的走向。
Concept lesson · 7 min
有理函数：渐近线、空洞点，以及每种情况该怎么办
垂直渐近线还是空洞点——由约分规则决定。另外附上水平渐近线和斜渐近线的判定捷径。
Concept lesson · 8 min
指数与对数函数：主宰你世界的一对逆函数
为什么 exp 与 log 互为逆函数、三条 log 法则如何搞定一切，以及让 log 方程翻车的定义域陷阱。

What's on the 微积分预备 CBE

Every TEKS standard the official exam covers — and the exact topics our practice questions target.

SEMESTER A
TEKS 1A-3I
1A-1GMathematical Process Standardsquadratic, exponential, slope, rectangle, volume
2A-2JFunctions and Their Propertiesdomain, range, parabola, transformation, piecewise, vertex, composition
3A-3DPolynomial and Rational Functionspolynomial, asymptote, zeros, rational function, y-intercept, inequality, end behavior
3E-3IExponential and Logarithmic Functionsexponential, logarithm, domain, quadratic, asymptote, inverse function
SEMESTER B
TEKS 4A-5I
4A-4GTrigonometric Functionsrange, sector, domain, arc, central angle, right triangle, sine
4H-4KTrigonometric Identities and Equations
5A-5CSequences and Seriesarithmetic sequence, geometric sequence, common difference, common ratio
5D-5IConics, Parametric, Polar, and Vectorsparabola, vertex, slope, standard form

微积分预备 CBE — Frequently asked questions

What topics are on the Pre-Calculus CBE?

The Pre-Calculus CBE covers TEKS §111.42: mathematical process standards, functions and their properties (domain, range, composition, inverse, transformations), polynomial and rational functions, exponential and logarithmic functions, trigonometric functions (unit circle, identities, equations), sequences and series, and conic sections, parametric/polar equations, and vectors. Semester A is non-trig (functions, polynomial/rational, exp/log); Semester B is trig-heavy plus sequences, conics, and vectors.

How hard is the Pre-Calculus CBE?

It's the most demanding math CBE Texas offers at the high-school level — designed as the bridge between Algebra 2 and Calculus. Expect a roughly even split between conceptual reasoning (identifying function behavior, asymptotes, symmetry), algebraic manipulation (solving log/exp/trig equations), and graphical interpretation (reading transformations, sinusoidal models, conics). Students who score 85%+ on our mocks typically pass on the first attempt.

How long is the Pre-Calculus CBE?

About 3 hours with 50 multiple-choice questions per semester. Our mock exams match the format exactly — same time limit, same question count, same balance of computational and conceptual items — so your pacing practice transfers directly to test day.

Is trigonometry on the Pre-Calculus CBE?

Yes — about 40% of Semester B is trigonometry. The unit circle, special-angle values (sin/cos/tan of π/6, π/4, π/3), Pythagorean and double-angle identities, and solving trig equations are all heavily tested. Memorize the unit circle and the six fundamental identities; everything else builds from those.

Do I need a graphing calculator for the Pre-Calculus CBE?

A scientific or graphing calculator is permitted and strongly recommended. You'll need it for natural log evaluations, trig values at non-special angles, polynomial root-finding, and exponential growth/decay problems. Our practice questions assume calculator access so your prep rehearses with the same tool.

What math should I master before taking the Pre-Calculus CBE?

Strong Algebra 2 fluency is essential: factoring polynomials, solving rational equations, manipulating exponents and logarithms, and graphing functions. If you struggle with Algebra 2 mock exams, build that foundation first — Pre-Calc moves fast and assumes you already own those skills.

What's the passing score for the Pre-Calculus CBE?

70% — the same as all UT High School CBE exams. We recommend targeting 85%+ on full-length mocks because the trig identity and conic-section questions can spike in difficulty depending on which TEKS standards your specific exam draws from.

I'm not in Texas — does Pre-Calculus prep here still apply?

Yes. Pre-Calculus content — functions and transformations, trigonometry, conic sections, sequences — is the same in every state's Pre-Calculus or Math III course, and prepares for AP Calculus AB/BC equally well. Our questions are TEKS-aligned by origin but the math is universal. Students preparing for AP Pre-Calculus or state-specific Pre-Calc finals find the practice equally valuable.

Related Guides

CBE exam guide
What Is the Texas CBE Exam?
Cost, format, passing score, who can take it, and how to register.
Curriculum standards
What Is TEKS?
Texas Essential Knowledge and Skills explained — and why it's the key to the CBE.
Deep dive
Complete Guide to Texas CBE
Long-form walkthrough of registration, timing, and prep strategy.
Process
How to Sign Up for the CBE
School counselor process, deadlines, and what to ask.