## Free Printable Math Worksheets for Precalculus

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- Extrema, intervals of increase and decrease
- Power functions
- Average rates of change
- Transformations of graphs
- Piecewise functions
- Graphs, real zeros, and end behavior
- Dividing polynomial functions
- The Remainder Theorem and bounds of real zeros
- Writing polynomial functions and conjugate roots
- Complex zeros & Fundamental Theorem of Algebra
- Graphs of rational functions
- Rational equations
- Polynomial inequalities
- Rational inequalities
- Graphing exponential functions
- Exponential equations not requiring logarithms
- Exponents and logarithms
- Evaluating logarithms
- Logarithms and exponents as inverses
- Properties of logarithms
- Writing logs in terms of others
- Exponential equations requiring logarithms
- Logarithmic equations, simple
- Logarithmic equations, hard
- Graphing logarithmic functions
- Compound interest
- Angles and angle measure
- Right triangle trigonometry
- Trig functions of any angle
- Graphing trig functions
- Simple trig equations
- Inverse trig functions
- Fundamental identities
- Equations with factoring and fundamental identities
- Sum and Difference Identities
- Multiple-Angle Identities
- Product-to-Sum Identities
- Equations and Multiple-Angle Identities
- The Law of Sines
- The Law of Cosines
- Parametric equations
- Projectile motion
- Polar coordinates
- Graphs of polar equations
- Polar and rectangular forms of equations
- Polar forms of conic section
- Complex numbers and polar form
- Vector basics
- Vector operations
- Dot products
- 3D vector basics
- 3D vector operations
- Vector cross products
- Matrix operations
- Matrix inverses and determinants
- Matrix equations
- Cramer's Rule
- Multivariable linear systems and row operations
- Partial fraction decomposition
- Rotations of conic sections
- Sample spaces & Fundamental Counting Principle
- Permutations
- Combinations
- Permutations vs combinations
- The Binomial Theorem
- Mathematical induction
- Independent and dependent events
- Mutually exclusive events
- Probability with combinatorics
- Probability with combinatorics - binomial
- General sequences and series
- Arithmetic sequences and series
- Geometric sequences and series
- Power series
- Limits by direct evaluation
- Limits at kinks and jumps
- Limits at removable discontinuities
- Limits at essential discontinuities
- Limits at infinity
- Definition of the derivative
- Instantaneous rates of change
- Power rule for differentiation
- Motion along a line
- Approximating area under a curve
- Area under a curve by limit of sums
- Indefinite integrals

Spring 2020 BMCC Prof. Dr. Ivan Retamoso

Finding the Domain of a Function

Finding the Domain and Range of a Function from its Graph

Average Rate of Change of a Function

Increasing and Decreasing Functions

Arithmetic Operations with Functions

Modeling with Linear Functions

Operations with Complex Numbers

Vertex and Axis of Symmetry of a Parabola

Minimum or Maximum of a Parabola

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

The Reminder and Factor Theorem

Zeros of a Polynomial Function

Exponential and Logarithmic Equations

Trigonometric Functions of any Angle

Graph of Trigonometric Functions

Inverse Trigonometric Functions

Double-Angle and Half-Angle Formulas

Product to Sum and Sum to Product Formulas

Solving Trigonometric Equations

## Welcome to the BMCC OpenLab!

## Precalculus Worksheets

Precalculus worksheets listed alphabetically:.

- Absolute Value Inequalities
- Absolute Value of Complex Numbers
- Algebraic Solutions to Linear Systems
- Algebraic Solutions to Simultaneous Equations
- Algebraic Translations
- Applied Problems for Inequalities
- Approximations of Irrational Numbers
- Binary Operations Advanced
- Calculate Value
- Categorizing Data and Bias
- Closure Property
- Counting Principle
- Cyclic Nature of the Powers of i
- Definition of a Function
- Direct Variation
- Divide Rational Fractions
- Division of Polynomials by Monomials
- Evaluate Expressions with Fractional Exponents
- Evaluating Expressions
- Factorial Notation
- Factoring Application
- Factoring the Difference of Two Perfect Squares
- Factoring Trinomials ( a <> 1 )
- Factoring Trinomials ( a = 1 )
- Find the Intercepts
- Graphically Represent the Inverse of a Function
- Graphing Functions
- Graphing Inequalities
- Graphing Linear Inequalities
- Graphing Linear Systems
- Graphing Systems of Inequalities
- Graphs and Equations of Lines
- Graphs of Circles
- Graphs of Parabolas
- Imaginary Unit and Standard Complex Form
- Inverse Functions
- Inverse Trigonometry Functions
- Law of Cosines
- Law of Sines
- Law of Sines and the Ambiguous Case
- Linear Quadratic Systems
- Linear Systems: Write as a Linear Equation
- Linear Systems: Write as a Matrix
- Logarithm Word Problems
- Multiplication of Rational Fractions
- Multiplying and Dividing Complex Numbers
- Multiplying Polynomials
- Mutually Exclusive & Independent Events, Complement
- Operations with Radicals
- Permutations
- Polynomial Word Problems
- Probability Problems Involving AND & OR
- Properties of Real Numbers
- Properties of Real Numbers (Advanced)
- Radical Equations
- Rational and Irrational Numbers
- Single & Compound Events
- Sigma Notation and Series
- Similar Polygons: Ratio of Perimeters & Areas
- Simplifying Complex Fractions/Expressions
- Simplifying Rational (Fractional) Expressions
- Simplifying Square Roots with Negative Numbers
- Solve the Matrix Equation
- Solving Combinations of Variations
- Solving Quadratic Equations
- Solving Quadratic Equations with Complex Roots
- Solving Exponential Equations (common base)
- Solving Exponential Equations (lacking a common base)
- Solving Factorable Quadratic Equations
- Solving Fractional Equations
- Solving Linear Inequalities
- Special Right Triangles (Geometry emphasis)
- Special Right Triangles (Trigonometry emphasis)
- Standard Form of Complex Numbers
- Theoretical versus Empirical Probability
- Trigonometric Ratios
- Trigonometric Word Problems
- Undefined Algebraic Fractions
- Undefined Algebraic Fractions (Advanced)

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Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format.

MATH 1330 – Precalculus. Exercise Sets and Odd-Numbered Solutions. Table of Contents. University of Houston Department of Mathematics. CHAPTER 1 EXERCISES.

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