Pre-Calculus CBE — Practice Tests & Mock Exams

Functions, trigonometry, sequences, conic sections, and analytic geometry — the bridge between Algebra 2 and Calculus. Covers TEKS §111.42.

Semester A

50 questions · 180 min · 80% to pass

Free Practice (10)
Semester B

50 questions · 180 min · 80% to pass

Free Practice (10)
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Learn the Concepts

Visual lessons that build Pre-Calculus from first principles — diagrams, worked examples, embedded practice.

Concept Lesson · 7 min · TEKS 2A-2J
Functions: Domain, Range, and Notation You Actually Need

Master the language of functions — what domain and range really mean, how to read function notation, and why piecewise functions trip students up.

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Concept Lesson · 6 min · TEKS 2A-2J
Function Transformations: Shift, Stretch, Reflect

The four basic transformations of a function — how to spot them from an equation and predict the new graph in seconds.

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Concept Lesson · 7 min · TEKS 3A-3D
Polynomial Functions: Zeros, Multiplicity, and End Behavior

Why some zeros "bounce" off the x-axis while others cross — and how the leading term decides what happens far from zero.

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Concept Lesson · 7 min · TEKS 3A-3D
Rational Functions: Asymptotes, Holes, and What to Do at Each

Vertical asymptote vs. hole — the cancellation rule that decides which. Plus horizontal and slant asymptote shortcuts.

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Concept Lesson · 8 min · TEKS 3E-3I
Exponential and Logarithmic Functions: Inverses That Run Your World

Why exp and log are inverses, the three log rules that solve everything, and the domain trap that sinks log equations.

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Concept Lesson · 8 min · TEKS 4A-4G
The Unit Circle: Special Angles You Must Memorize

The unit circle is the source of all trigonometry. Master these five special angles and signs by quadrant — everything else builds from here.

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What's on the Pre-Calculus CBE

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

SEMESTER A TEKS 1A-3I
  • 1A-1G Mathematical Process Standards
  • 2A-2J Functions and Their Properties
  • 3A-3D Polynomial and Rational Functions
  • 3E-3I Exponential and Logarithmic Functions
SEMESTER B TEKS 4A-5I
  • 4A-4G Trigonometric Functions
  • 4H-4K Trigonometric Identities and Equations
  • 5A-5C Sequences and Series
  • 5D-5I Conics, Parametric, Polar, and Vectors

Pre-Calculus CBE — Common 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.