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Precalculus · Printable PDFs

Precalculus Worksheets with Answer Keys

Printable Precalculus worksheets, quizzes and chapter tests, each with a full answer key. Every worksheet matches a free lesson on math.wiki. Chapter 1 is free to download. The full Precalculus course, lesson by lesson ›

115 worksheets46 quizzes12 tests6 exams115 lesson handouts

1 of 12Functions in depth: rate of change, end behavior and asymptotes

1

Functions in depth: rate of change, end behavior and asymptotes

Free sample

1.1Degree, end behavior and the shape of a polynomial graph worksheet6 problemsPreview Handout PDF Answer key

1.2Graphing polynomial functions worksheet6 problemsPreview Handout PDF Answer key

1.3Graphing rational functions worksheet6 problemsPreview Handout PDF Answer key

Quiz 1A7 questions, lessons 1.1 to 1.3PDF Answer key

1.4The difference quotient worksheet6 problemsPreview Handout PDF Answer key

1.5Rates at an instant from shrinking intervals worksheet6 problemsPreview Handout PDF Answer key

1.6Concavity: when the rate of change itself changes worksheet6 problemsPreview Handout PDF Answer key

Quiz 1B8 questions, lessons 1.4 to 1.6PDF Answer key

1.7Slant asymptotes worksheet6 problemsPreview Handout PDF Answer key

1.8Polynomial and rational inequalities with sign charts worksheet6 problemsPreview Handout PDF Answer key

Quiz 1C8 questions, lessons 1.7 to 1.8PDF Answer key

1Chapter 1 test12 questionsPDF Answer key

2

Exponential and logarithmic modeling

2.1Graphs of logarithmic functions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

2.2Laws of logarithms worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

2.3Solving by taking a logarithm of both sides worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 2A8 questions, lessons 2.1 to 2.3PDFQuiz + Key Answer key

2.4Building an exponential model from two points worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

2.5Semi-log plots: straightening exponential data with logarithms worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 2B8 questions, lessons 2.4 to 2.5PDFQuiz + Key Answer key

2.6Logistic growth: when growth levels off worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

2.7Judging and comparing models worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 2C8 questions, lessons 2.6 to 2.7PDFQuiz + Key Answer key

2Chapter 2 test12 questionsPDFTest + Key Answer key

3

Angles, radians and the unit circle

3.1Sine, cosine and tangent worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

3.2Trig values of the special right triangles worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 3A8 questions, lessons 3.1 to 3.2PDFQuiz + Key Answer key

3.3Angles in standard position and coterminal angles worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

3.4Radian measure worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

3.5Arc length and sector area in radians worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 3B8 questions, lessons 3.3 to 3.5PDFQuiz + Key Answer key

3.6Angular and linear speed worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

3.7Trig functions on the unit circle worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

3.8Sine, cosine and tangent as functions of a real number worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 3C8 questions, lessons 3.6 to 3.8PDFQuiz + Key Answer key

3.9Reference angles worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

3.10Signs of the trig functions by quadrant worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

3.11Secant, cosecant and cotangent ratios worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 3D8 questions, lessons 3.9 to 3.11PDFQuiz + Key Answer key

3.12Secant, cosecant and cotangent on the unit circle worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

3.13Exact values on the unit circle worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 3E8 questions, lessons 3.12 to 3.13PDFQuiz + Key Answer key

3.14Unit circle symmetry and even-odd identities worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

3.15Periodicity and the periodicity identities worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 3F8 questions, lessons 3.14 to 3.15PDFQuiz + Key Answer key

3Chapter 3 test12 questionsPDFTest + Key Answer key

EXAMPrecalculus quarter 1 benchmark16 questions, chapters 1 to 3PDFExam + Key Answer key

4

Trigonometric functions and their graphs

4.1Periodic functions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

4.2Graphing sine and cosine worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

4.3Amplitude and reflection worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 4A8 questions, lessons 4.1 to 4.3PDFQuiz + Key Answer key

4.4Finding the period from the equation worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

4.5Phase shift worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

4.6Midline and vertical shift worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 4B8 questions, lessons 4.4 to 4.6PDFQuiz + Key Answer key

4.7Writing an equation from a wave worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

4.8Graphing tangent and the reciprocal functions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

4.9Inverse trig functions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 4C8 questions, lessons 4.7 to 4.9PDFQuiz + Key Answer key

4.10Composing trig and inverse trig functions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

4.11Height on a turning wheel worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 4D8 questions, lessons 4.10 to 4.11PDFQuiz + Key Answer key

4.12Tides, daylight and sound worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

4.13Simple harmonic motion worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 4E8 questions, lessons 4.12 to 4.13PDFQuiz + Key Answer key

4Chapter 4 test12 questionsPDFTest + Key Answer key

5

Trigonometric identities and equations

5.1What an identity is worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

5.2Reciprocal and quotient identities worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

5.3The Pythagorean identities worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 5A8 questions, lessons 5.1 to 5.3PDFQuiz + Key Answer key

5.4Cofunction identities worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

5.5Simplifying trig expressions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

5.6Verifying identities worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 5B8 questions, lessons 5.4 to 5.6PDFQuiz + Key Answer key

5.7Solving basic trig equations worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

5.8Solving equations with a multiple angle worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

5.9Trigonometric inequalities worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 5C8 questions, lessons 5.7 to 5.9PDFQuiz + Key Answer key

5Chapter 5 test12 questionsPDFTest + Key Answer key

6

Sum, difference and double angle formulas

6.1Cosine of a sum or difference worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

6.2Sine and tangent of a sum or difference worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

6.3Double angle formulas worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 6A8 questions, lessons 6.1 to 6.3PDFQuiz + Key Answer key

6.4Power reducing and half angle formulas worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

6.5Product to sum and sum to product formulas worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 6B8 questions, lessons 6.4 to 6.5PDFQuiz + Key Answer key

6.6Combining a sine and a cosine into one wave worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

6.7Solving trig equations by factoring, quadratics and identities worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 6C8 questions, lessons 6.6 to 6.7PDFQuiz + Key Answer key

6Chapter 6 test12 questionsPDFTest + Key Answer key

EXAMPrecalculus quarter 2 benchmark16 questions, chapters 4 to 6PDFExam + Key Answer key

EXAMPrecalculus midterm exam18 questions, chapters 1 to 6PDFExam + Key Answer key

7

Laws of sines and cosines

7.1Law of sines worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

7.2The ambiguous case worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

7.3Law of cosines worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 7A8 questions, lessons 7.1 to 7.3PDFQuiz + Key Answer key

7.4Area from two sides and the included angle worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

7.5Heron's formula worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 7B8 questions, lessons 7.4 to 7.5PDFQuiz + Key Answer key

7.6Applications of oblique triangles worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

7.7Bearings and navigation worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 7C8 questions, lessons 7.6 to 7.7PDFQuiz + Key Answer key

7Chapter 7 test12 questionsPDFTest + Key Answer key

8

Vectors and parametric equations

8.1Directed line segments worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

8.2Component form of a vector worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

8.3Magnitude and direction of a vector worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 8A8 questions, lessons 8.1 to 8.3PDFQuiz + Key Answer key

8.4Unit vectors and i, j notation worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

8.5Scaling a vector worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

8.6Adding and subtracting vectors worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 8B8 questions, lessons 8.4 to 8.6PDFQuiz + Key Answer key

8.7Forces and velocities as vectors worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

8.8The dot product and the angle between vectors worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

8.9Orthogonal vectors worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 8C8 questions, lessons 8.7 to 8.9PDFQuiz + Key Answer key

8.10Vector and scalar projection worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

8.11Vectors in space worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 8D8 questions, lessons 8.10 to 8.11PDFQuiz + Key Answer key

8.12Parametric equations worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

8.13Eliminating the parameter worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 8E8 questions, lessons 8.12 to 8.13PDFQuiz + Key Answer key

8Chapter 8 test12 questionsPDFTest + Key Answer key

9

Polar coordinates and complex numbers in polar form

9.1Adding, subtracting and multiplying complex numbers worksheet8 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 9A4 questions, lesson 9.1PDFQuiz + Key Answer key

9.2Plotting polar points worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

9.3Converting between polar and rectangular worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

9.4Converting an equation between the two systems worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 9B8 questions, lessons 9.2 to 9.4PDFQuiz + Key Answer key

9.5Polar circles and symmetry tests worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

9.6Limacons and cardioids worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

9.7Rose curves worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 9C8 questions, lessons 9.5 to 9.7PDFQuiz + Key Answer key

9.8The complex plane, modulus and argument worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

9.9Modulus, argument and polar form worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 9D8 questions, lessons 9.8 to 9.9PDFQuiz + Key Answer key

9.10Multiplying, powers and De Moivre's theorem worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

9.11Roots of a complex number and roots of unity worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 9E8 questions, lessons 9.10 to 9.11PDFQuiz + Key Answer key

9Chapter 9 test12 questionsPDFTest + Key Answer key

EXAMPrecalculus quarter 3 benchmark15 questions, chapters 7 to 9PDFExam + Key Answer key

10

Conic sections

10.1Equation of a circle worksheet8 problemsPreview Handout PDFWorksheet + Key Answer key

10.2Finding the center and radius worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 10A7 questions, lessons 10.1 to 10.2PDFQuiz + Key Answer key

10.3Conic sections from a double cone worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

10.4Focus and directrix worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

10.5The parabola as a locus worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 10B8 questions, lessons 10.3 to 10.5PDFQuiz + Key Answer key

10.6The ellipse worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

10.7The hyperbola worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

10.8Identifying and translating conics worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 10C8 questions, lessons 10.6 to 10.8PDFQuiz + Key Answer key

10Chapter 10 test12 questionsPDFTest + Key Answer key

11

Matrices

11.1Rows, columns and dimensions worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

11.2Adding, subtracting and scaling matrices worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

11.3Matrix multiplication worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 11A8 questions, lessons 11.1 to 11.3PDFQuiz + Key Answer key

11.4Writing a system as a matrix equation worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

11.5Augmented matrices and row operations worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

11.6Echelon forms and Gaussian elimination worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 11B8 questions, lessons 11.4 to 11.6PDFQuiz + Key Answer key

11.7Solving a system by row reduction: one, none or infinitely many solutions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

11.8Computing a determinant worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

11.9Inverse of a 2 by 2 matrix, and solving with it worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 11C8 questions, lessons 11.7 to 11.9PDFQuiz + Key Answer key

11.10Cramer's rule worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

11.11The cross product worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 11D8 questions, lessons 11.10 to 11.11PDFQuiz + Key Answer key

11Chapter 11 test12 questionsPDFTest + Key Answer key

12

Induction, sequences and an introduction to limits

12.1Sigma notation worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

12.2Arithmetic series and partial sums worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 12A8 questions, lessons 12.1 to 12.2PDFQuiz + Key Answer key

12.3Geometric series worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

12.4Infinite geometric series worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 12B8 questions, lessons 12.3 to 12.4PDFQuiz + Key Answer key

12.5How induction works: base case, hypothesis and step worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

12.6What a limit is: graphs and tables worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 12C7 questions, lessons 12.5 to 12.6PDFQuiz + Key Answer key

12Chapter 12 test12 questionsPDFTest + Key Answer key

EXAMPrecalculus quarter 4 benchmark16 questions, chapters 10 to 12PDFExam + Key Answer key

EXAMPrecalculus final exam17 questions, chapters 1 to 12PDFExam + Key Answer key