Highlights of this book
- 18 tests, one for each chapter of the year
- Each test is scored out of 20 points and takes 45 minutes
- An answer key with a point-by-point scoring guide
Each chapter has its own test, ready to print: an information box gives the time, the Common Core codes and the points for every question, out of a total of 20. Questions move from direct application to a final problem that asks for more reasoning.
The answer keys are grouped at the end of the book, with a scoring guide that explains how many points to give for each part. It is the closest thing to a Precalculus test at school, at home.
Who is it for?
For a junior or senior preparing for a calculus course, and for the parents, tutors and homeschooling families who work with them.
The tests, chapter by chapter
For each test, the number of questions, a few of their titles and the time allowed.
| Test | Questions | Time |
|---|---|---|
| 1Functions: Domain, Range, Composition and Inverses | 9 questions: Domain in interval notation · Domain and range from a graph · Composition of functions · Decompose and find a domain | 45 min |
| 2Polynomial and Rational Functions in Depth | 9 questions: Rational Root Theorem · Complex zeros of a quartic · Build a polynomial · Read a polynomial graph | 45 min |
| 3Exponential and Logarithmic Functions and Models | 9 questions: Logarithm basics · Laws of logarithms · Inverse function · Graph and inverse | 45 min |
| 4Angles, Radians and the Unit Circle | 9 questions: Converting angle measures · Coterminal and reference angles · Point on the unit circle · Arc length of a sector | 45 min |
| 5Graphs of Trigonometric Functions | 9 questions: Features of a cosine · Phase shift · Equation from a graph · Sketch a sinusoid | 45 min |
| 6Inverse Trigonometric Functions and Trigonometric Equations | 9 questions: Exact inverse values · Compositions · Restricted sine · Triangle compositions | 45 min |
| 7Trigonometric Identities | 8 questions: Six functions from a point · Values from a Pythagorean identity · Simplify · Verify an identity | 45 min |
| 8Laws of Sines and Cosines and Triangle Area | 8 questions: Area with sine · Law of Sines · Ambiguous case · Law of Cosines: find a side | 45 min |
| 9Vectors in the Plane | 9 questions: Components and magnitude · Magnitude and direction · Combining vectors · Parallelogram rule | 45 min |
| 10Complex Numbers in Polar Form | 9 questions: Modulus and conjugate · Complex quotient · Polar form of a complex number · Polar to rectangular | 45 min |
| 11Polar Coordinates and Parametric Equations | 9 questions: Polar to rectangular · Rectangular to polar · Convert equations · Identify a rose | 45 min |
| 12Matrices and Matrix Operations | 8 questions: Write a data matrix · Add and scale matrices · Solve for unknowns · Multiply matrices | 45 min |
| 13Solving Systems with Matrices | 8 questions: Matrix form of a system · Inverse of a matrix · Solve a system with matrices · Singular matrices | 45 min |
| 14Conic Sections: Parabolas, Ellipses and Hyperbolas | 8 questions: Equations of circles · Completing the square for a circle · Parabola from focus and directrix · Parabola features | 45 min |
| 15Series, Binomial Theorem and an Introduction to Limits | 8 questions: Sigma notation · Arithmetic series · Geometric series · Repeating decimal | 45 min |
| 16Counting, Permutations, Combinations and Probability | 8 questions: Counting routes · Permutations and combinations · Arranging letters · Forming a team | 45 min |
| 17Expected Value and Decisions | 8 questions: Distribution check · Carnival spinner · Red lights on the way to school · Card game at the fair | 45 min |
| 18Complex Factorization and Volume of a Sphere | 8 questions: Powers of i · Factor a sum of squares · Solve over the complex numbers · Fourth-degree factorization | 45 min |
Look inside: two sample pages
Pages from the book exactly as they print. Click a page to open it full size.
How to use it in four steps
Review
Revise the lesson and a few worksheet problems of the chapter.
Time it
Print the test and set a timer for the time printed on the first page.
Grade
Score each question with the scoring guide of the answer key.
Target
Below 16 out of 20? Go back to the questions that cost points.
Questions from parents
How many tests are in the Precalculus tests book?
18 tests, one per chapter, each scored out of 20 points, on 122 pages.
How do I grade a test?
The answer key at the end of the book gives the worked solution and a scoring guide for each question.
Does it replace the school textbook?
It complements it: use it at home to review, practice or get ahead, whatever textbook the teacher uses.
Do I need the other two books of the grade?
No, each book works on its own. Together, the lessons, worksheets and tests of Precalculus cover the three steps: understand, practice, check.
How is the book delivered?
Nothing is shipped: as soon as PayPal confirms the payment, your download page opens, and the link is also sent by email.
Still have a question? Read the general FAQ or write to us from the Mathovore contact page.
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