Cover of Precalculus Math Tests with Answer Keys, a printable PDF book
Test book with answer keys · Precalculus

Precalculus Math Tests with Answer Keys

22 chapter tests for Precalculus, 198 questions in all, each test scored out of 20 points with a full answer key.

  • 151 US Letter pages
  • 22 chapter tests
  • 198 scored questions
  • PDF to print
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About this book

Each test covers one chapter, from combining and composing functions to the law of sines and law of cosines and the first limits.

Each test lists its time (45 minutes) and its total of 20 points on its first page, then mixes short questions and multi-part problems, like Find three angles in the Law of Sines and Law of Cosines test. Part 2, from page 73, holds the answer keys: worked solutions and a scoring note for every question.

For a Precalculus student heading for calculus, a parent, or a tutor. Pair it with the Precalculus Math Worksheets with Answers to go back to the lesson when a problem gets stuck.

Detailed contents

The 22 Precalculus tests, their questions, points and time, and the titles of the first questions.

  1. 1

    Functions, Domain and Range

    9 questions · 20 points · 45 min · p. 6
    • Evaluate
    • Function or not
    • Domain with root and fraction
    • Domain of a rational function
    • Read a graph
    • Piecewise function
  2. 2

    Combining and Composing Functions

    9 questions · 20 points · 45 min · p. 9
    • Sum and product
    • Composite formulas
    • Table composition
    • Domain of a quotient
    • Domain of a composite
    • Decompose
  3. 3

    Inverse Functions

    9 questions · 20 points · 45 min · p. 12
    • Horizontal line test
    • Inverse of a line
    • Inverse of a root function
    • Verify inverses
    • Points on an inverse
    • Rational inverse
  4. 4

    Transformations of Graphs

    9 questions · 20 points · 45 min · p. 15
    • Describe transformations
    • Move points
    • Write an equation
    • Even and odd
    • Read an absolute value graph
    • Transform a table
  5. 5

    Polynomial Functions and Their Graphs

    9 questions · 20 points · 45 min · p. 18
    • Degree and end behavior
    • Zeros and multiplicity
    • Factor and solve
    • Write a polynomial
    • Read a graph
    • Polynomial inequality
  6. 6

    Polynomial Division and the Factor Theorem

    9 questions · 20 points · 45 min · p. 21
    • Divide and factor
    • Synthetic division with a remainder
    • Remainder Theorem
    • Factor Theorem
    • Find all zeros
    • Division with a remainder expression
  7. 7

    Complex Numbers and Complex Zeros

    9 questions · 20 points · 45 min · p. 24
    • Powers and radicals
    • Multiply
    • Divide
    • Modulus and conjugate
    • Complex plane
    • Quadratic with complex roots
  8. 8

    Rational Functions and Asymptotes

    9 questions · 20 points · 45 min · p. 27
    • Domain and vertical asymptotes
    • Horizontal asymptotes
    • Hole and asymptote
    • Slant asymptote
    • Read a rational graph
    • Solve a rational equation
  9. 9

    Exponential Functions and the Number e

    9 questions · 20 points · 45 min · p. 30
    • Evaluate and classify
    • Write from points
    • Population model
    • Features of a transformed graph
    • Model from a graph
    • Compound interest
  10. 10

    Logarithms and Their Properties

    9 questions · 20 points · 45 min · p. 33
    • Convert
    • Evaluate
    • Domain
    • Expand
    • Read a log graph
    • Condense
  11. 11

    Exponential and Logarithmic Equations

    9 questions · 20 points · 45 min · p. 36
    • Exponential equations
    • Base e equation
    • Isolate the power
    • Log equation
    • Combine and check
    • Two logs equal
  12. 12

    Radians and the Unit Circle

    9 questions · 20 points · 45 min · p. 39
    • Convert angles
    • Coterminal angles
    • Arc and sector
    • Exact values
    • Unit circle point
    • Find the other values
  13. 13

    Graphs of Trigonometric Functions

    9 questions · 20 points · 45 min · p. 43
    • Read the equation
    • Phase shift
    • Evaluate
    • Tangent
    • Read a trig graph
    • Write an equation
  14. 14

    Inverse Trigonometric Functions and Equations

    9 questions · 20 points · 45 min · p. 46
    • Exact inverse values
    • More inverse values
    • Compositions
    • Triangle method
    • Solve from a graph
    • Solve a cosine equation
  15. 15

    Trigonometric Identities

    9 questions · 20 points · 45 min · p. 49
    • Simplify
    • Exact value
    • Double angle
    • Verify
    • Angle addition
    • Solve
  16. 16

    Law of Sines and Law of Cosines

    9 questions · 20 points · 45 min · p. 52
    • Right triangle
    • Law of Sines
    • Ambiguous case
    • Law of Cosines
    • Find three angles
    • Area
  17. 17

    Vectors in the Plane

    9 questions · 20 points · 45 min · p. 55
    • Component form and magnitude
    • Magnitude and direction
    • Vector arithmetic
    • Unit vector
    • Sum of two vectors
    • Perpendicular vectors
  18. 18

    Polar Form and De Moivre's Theorem

    9 questions · 20 points · 45 min · p. 58
    • Polar form
    • Rectangular form
    • Product
    • Quotient
    • Power with De Moivre
    • Large power
  19. 19

    Sequences and Series

    9 questions · 20 points · 45 min · p. 61
    • Arithmetic terms
    • Geometric term
    • Recursive to explicit
    • Arithmetic sum
    • Read a sequence graph
    • Sigma notation
  20. 20

    The Binomial Theorem

    9 questions · 20 points · 45 min · p. 64
    • Evaluate
    • Expand
    • Expand with a coefficient
    • A single term
    • Pascal's triangle
    • A coefficient
  21. 21

    Conic Sections

    9 questions · 20 points · 45 min · p. 67
    • Circles
    • Parabola parts
    • Parabola from focus and directrix
    • Ellipse foci
    • Read an ellipse
    • Hyperbola parts
  22. 22

    Introduction to Limits

    9 questions · 20 points · 45 min · p. 70
    • Average rate of change
    • Limit from a table
    • Factor and cancel
    • Rationalize
    • Read a graph
    • Limits at infinity

Sample pages

Three pages from the Precalculus Math Tests with Answer Keys, exactly as you will print them. Click to enlarge.

The contents of the Precalculus Math Tests with Answer Keys
The contents page 2
A page of the first test of the Precalculus Math Tests with Answer Keys
A page of the first test page 7
An answer key with scoring of the Precalculus Math Tests with Answer Keys
An answer key with scoring page 74

How to use these tests

Set a timer

Give each test the time printed on its first page, 45 minutes for most Precalculus chapters, to work in real conditions.

Grade with the key

The scoring note of each question says how the points are awarded, so a parent can give partial credit on the 198 questions of Precalculus.

Retest a weak chapter

A low score on Functions, Domain and Range? Review that chapter, then take the test again a week later.

Go further

To learn the lessonsPrecalculus Math LessonsThe lessons that go with these chapters. The companion bookPrecalculus Math Worksheets with AnswersExercises with answers on the same chapters. Previous levelAlgebra 2 Math Tests with Answer KeysNext levelAP Calculus AB Math Tests with Answer Keys
Free on the site

Frequently asked questions

How many tests are in the Precalculus test book?

22 Precalculus tests, one per chapter, with 198 questions in all. Each test is worth 20 points and takes 45 minutes.

How are the Precalculus tests graded?

Part 2 gives an answer key for each Precalculus test, with worked solutions and a scoring note for every question, so you can grade out of 20 the same way every time.

Do I need the Precalculus Math Worksheets with Answers along with the test book?

No, the Precalculus Math Tests with Answer Keys stands on its own. But both books follow the same 22 chapters of Precalculus; together they make a complete course, practice then test.

How do I receive the Precalculus Math Tests with Answer Keys?

Right after paying with PayPal or a card, you reach your download page, where the Precalculus Math Tests with Answer Keys is waiting. An email with the link is sent too.

Can I print the Precalculus test book and open it on several devices?

Yes: the 151-page PDF of the Precalculus Math Tests with Answer Keys prints as often as you need and opens on three devices (computer, tablet, phone). It carries your name at the bottom of the pages.

More answers on the shop page, or through our contact form.

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