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
- Communities
- Toggle navigation
Precalculus MAT 206–0801
Spring 2020 BMCC Prof. Dr. Ivan Retamoso
Relations and Functions
Evaluations of Functions
The Horizontal Line Test
Finding the Domain of a Function
Finding the Domain and Range of a Function from its Graph
Piecewise Functions
Average Rate of Change of a Function
Increasing and Decreasing Functions
Relative Maxima or Minima
Arithmetic Operations with Functions
Compositions of Functions
Transformation of Functions
Absolute Value Functions
Inverse Functions
Linear Functions
Graph of Linear 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
The Rational Zero Theorem
Zeros of a Polynomial Function
Rational Functions
Graphing Rational Functions
Slant Asymptote
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Radian and Degree Measure
Right Triangle Trigonometry
Trigonometric Functions of any Angle
The Unit Circle
Graph of Trigonometric Functions
Inverse Trigonometric Functions
Sum and Difference Identities
Double-Angle and Half-Angle Formulas
Product to Sum and Sum to Product Formulas
Solving Trigonometric Equations
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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)
Math Skills You Should Master Before Learning Calculus?
What is Calculus? Calculus is another branch of mathematics which helps us understand changes between the values that may be related by a function. Calculus is used in a lot of areas in physics, biology, astronomy, economy, engineering, sociology and even medicine. The use of calculus is to create mathematical models to arrive at an optimal solution. You may take physics as an example and notice how the concepts of calculus are used that include motion, electricity, light and heat, harmonics, astronomy and dynamics. When you start calculus to make sure you go through algebra again because you’ll have to solve equations, and systems, that also include logarithmic equations and their inverse functions. Calculus is just one additional step beyond algebra and trigonometry. Skills You Must Know - A few steps to start learning calculus are first to memorize formulas, but there's much more to know than just that. Factoring - Many of the problems in calculus will involve finding roots of function, so you need to be able to factor expressions and equations even in your sleep. Basic Function And Transformation - You need to study the basic functions and transformation of those essential functions. You should be able to recognize and apply the change and essential functions. Simplify - You will find yourself simplifying the results of the expressions obtained most of your time. You must know how to combine and solve them as quick as possible. Use Of Calculator - You need to be able to graph functions and get a proper viewing window. You should be able to use all the options available on your calculator to solve calculus. You should know how to use table mood on your calculator and the calc menu to find roots, intersections and more. Develop these skills before you start calculus and notice how easy calculus will become for you.
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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.
Welcome to the BMCC OpenLab! BMCC's OpenLab is an online platform where the College's students, faculty and staff can come together to learn, work, play and
Worksheet by Kuta Software LLC ... Create your own worksheets like this one with Infinite Pre-Algebra.
The Cartesian Plane. Just as you can represent real numbers by points on a real number line, you can represent ordered pairs of real numbers by points in a
Summer Review Worksheet. For students taking Trig/Pre-Calculus in the upcoming school year. This review is optional, but highly recommended.
Worksheet # 2: The Exponential Function and the Logarithm.
If you restrict the domain of one of the twelve basic functions to [0, ∞), it becomes the inverse of another one. Which are they? Page 10. Precalculus.
Honors Pre-Calculus. 3.5 D1 Worksheet. Name__________________________________. Exponential Growth and Decay. Exponential Growth: Exponential Decay:.
Math Skills You Should Master Before Learning Calculus? What is Calculus? Calculus is another branch of mathematics which helps us understand changes
Worksheet by Kuta Software LLC. Pre-Calculus. Name___________________________________. Date________________. ©v N2P0c1j4d tKPujt0aO 8SUoFfFtrwZatr2eH