# The Ultimate College Mathematics Placement Course (+FREE Worksheets & Tests)

Are you in search of a top-tier online course to help you shine in your college mathematics placement test? Look no further—you've landed on the perfect site!

We’re offering a FREE, thorough, and user-friendly course designed to enhance your math skills and ensure you grasp every concept that will be tested. This course meticulously covers every topic you’ll encounter in the placement test, positioning you to achieve the highest score possible.

Our comprehensive mathematics course is the only resource you’ll need to prepare for your college mathematics placement test. Effortlessly Math Education’s suite of resources, including this course, is trusted annually by thousands of students gearing up for their exams. It’s a proven toolkit that helps learners review essential topics, improve in specific areas, and assess their strengths and weaknesses—culminating in robust confidence and readiness for the test.

The beauty of this course lies in its flexibility; learn at your own pace without the pressure of schedules. Each lesson is packed with notes, illustrative examples, practice exercises, and a variety of activities designed to help you understand and master each concept with clarity and ease. Join us to take the first step towards conquering your college mathematics placement test with confidence and convenience.

**The Absolute Best Book to Ace Adults Math Refresher**

## College Mathematics Complete Course

### Integers and Order of Operations

- Adding and Subtracting Integers
- Multiplying and Dividing Integers
- Translate Phrases into an Algebraic Statement
- Order of Operations
- Integers and Absolute Value
- Proportional Ratios
- Similarity and Ratios
- Percent Problems
- Percent of Increase and Decrease
- Discount, Tax, and Tip
- Simple Interest
- The Distributive Property
- Approximating Irrational Numbers

### Exponents and Variables

- Multiplication Property of Exponents
- Division Property of Exponents
- Zero and Negative Exponents
- Powers of Products and Quotients
- Negative Exponents and Negative Bases
- Scientific Notation
- Addition and Subtraction in Scientific Notation
- Multiplication and Division in Scientific Notation

### Expressions and Equations

- Simplifying Variable Expressions
- Evaluating One Variable
- Evaluating Two Variables
- One-Step Equations
- Multi-Step Equation
- Finding Midpoint
- Finding Distance of Two Points

### Linear Functions

- Point-Slope Form
- Finding Slope
- Writing Linear Equations
- Graphing Linear Inequalities
- Finding the x-Intercept
- Finding the y-Intercept
- Write an Equation from a Graph
- Properties of the Horizontal Line
- Properties of the Vertical Lines
- Parallel and Perpendicular Lines

### Inequalities and System of Equations

- One-Step Inequalities
- Multi-Step Inequalities
- Linear Inequalities
- Systems of Equations
- Systems of Equations with Substitution
- Systems of Equations Word Problems
- Number of Solutions in a System of Equations
- Systems of Linear Inequalities

### Quadratic Functions and Equations

- Quadratic Function
- Solving a Quadratic Equation
- Graphing Quadratic Functions
- Solving a Quadratic Equation by Completing the Square
- Solving a Quadratic Equation by Factoring
- Finding Discriminant of Quadratic Equation
- Transformations of Quadratic Equations

### Complex Numbers

- Complex Plane
- Adding and Subtracting Complex Numbers
- Multiplying and Dividing Complex Numbers
- Rationalizing Imaginary Denominators
- Complex Roots of the Quadratic Equation

### Matrices

- Using Matrices to Represent Data
- Adding and Subtracting Matrices
- Matrix Multiplication
- The Inverse of a Matrix
- Solving Systems with Matrix Equations
- Finding Determinants of a Matrix

### Polynomial Operations

- Writing Polynomials in Standard Form
- Simplifying Polynomials
- Adding and Subtracting Polynomials
- Multiplying and Dividing Monomials
- Multiplying a Polynomial and a Monomial
- Multiplying Binomials
- Factoring Trinomials
- Choosing a Factoring Method for Polynomials
- Factoring by GCF
- Factors and Greatest Common Factors
- Operations with Polynomials
- Even and Odd Function
- End behavior of polynomial functions
- Remainder and Factor Theorems
- Polynomial Division (Long Division)
- Polynomial Division (Synthetic Division)
- Finding zeros of polynomials
- Polynomial identities

### Complex Numbers

- Adding and Subtracting Complex Numbers
- Multiplying and Dividing Complex Numbers
- Rationalizing Imaginary Denominators

### Functions Operations

- Function Notation
- Adding and Subtracting Functions
- Multiplying and Dividing Functions
- Composition of Functions
- Writing Functions
- Parent Functions
- Function Inverses
- Inverse Variation
- Graphing Functions
- Domain and Range of Function
- Piecewise function
- Positive, negative, increasing and decreasing functions on intervals
- Finding Average Rate of Change of a Function

### Exponential Functions

### Logarithms

- Properties of Logarithms
- Evaluating Logarithms
- Natural Logarithms
- Solving Logarithmic Equations
- The Change of Base Formula for Logarithms

### Radical Expressions

- Simplifying Radical Expressions
- Simplifying Radical Expressions Involving Fraction
- Multiplying Radical Expressions
- Adding and Subtracting Radical Expressions
- Domain and Range of Radical Functions
- Radical Equations
- Solving Radical Inequalities

### Rational and Irrational Expressions

- Rational and Irrational Numbers
- Simplifying Rational Expressions
- Graphing Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Rational Equations
- Simplifying Complex Fractions
- Maximum and Minimum Points
- Solving Rational Inequalities
- Irrational Functions
- Direct, Inverse, Joint, and Combined Variation
- Rational Exponents
- Rational Exponents and Radicals

### Conics

- Equation of Parabola
- Finding the Focus, Vertex, and Directrix of a parabola
- Standard Form of a Circle
- Finding the Center and the Radius of Circles
- Equation of Each Ellipse and Finding the Foci, Vertices, and Co– Vertices of Ellipses
- Hyperbola in Standard Form and Vertices, Co– Vertices, Foci, and Asymptotes of a Hyperbola
- Classifying a Conic Section (in Standard Form)

### Sequences and Series

- Arithmetic Sequences
- Geometric Sequences
- Arithmetic Series
- Finite Geometric Series
- Infinite Geometric Series
- Pascal’s Triangle
- Binomial Theorem
- Sigma Notation (Summation Notation)
- Alternate Series

### Trigonometric Functions

- Trig Ratios of General Angles
- Trigonometric Ratios
- Right-Triangle Trigonometry
- Angles of Rotation
- Unit Circle
- The Reciprocal Trigonometric Functions
- Function Values of Special Angles
- Function Values from the Calculator
- Reference Angles and the Calculator
- Coterminal Angles and Reference Angles
- Periodic Function
- Angles and Angle Measure
- Evaluating Trigonometric Function
- Missing Sides and Angles of a Right Triangle
- Arc length and Sector Area
- Inverse of Trigonometric Functions
- Solving Trigonometric Equations

### More Topics Trigonometric Functions

- Pythagorean Identities
- Domain and Range of Trigonometric Functions
- Cofunctions
- Law of Sines
- Law of Cosines
- Fundamental Trigonometric Identities
- Sum and Difference Identities
- Double Angle Identities
- Half-Angle Identities
- Using the Law of Cosines to Find Angle Measure

### Graphs of Trigonometric Functions

- Graph of the Sine Function
- Graph of the Cosine Function
- Amplitude, Period, and Phase Shift
- Writing the Equation of a Sine Graph
- Writing the Equation of a Cosine Graph
- Graph of the Tangent Function
- Graph of the Cosecant Function
- Graph of the Secant Function
- Graph of the Cotangent Function
- Graph of Inverse of the Sine Function
- Graph of Inverse of the Cosine Function
- Graph of Inverse of the Tangent Function
- Sketching Trigonometric Graphs

### Statistics

- Frequency and Histograms
- Box-and-Whisker Plots
- Measures of Dispersion
- Organizing Data
- Data Distribution
- Central Limit Theorem and Standard Error

### Probability

- Independent and Dependent Events
- Compound Events
- Conditional and Binomial Probabilities
- Theoretical Probability
- Experimental Probability

**The Absolute Best Books for College Mathematics Placement Course**

## Related to This Article

### More math articles

- Mastering Exponential Growth And Decay: A Comprehensive Guide
- 7th Grade MEA Math Worksheets: FREE & Printable
- 4th Grade ACT Aspire Math Worksheets: FREE & Printable
- Algebra Puzzle – Challenge 45
- The Best ASVAB Math Worksheets: FREE & Printable
- FREE 4th Grade Common Core Math Practice Test
- 10 Most Common 5th Grade OST Math Questions
- 7th Grade FSA Math Practice Test Questions
- Top 10 Tips You MUST Know to Retake the SSAT Math
- How Is Math Use in Solar Energy?

## What people say about "The Ultimate College Mathematics Placement Course (+FREE Worksheets & Tests) - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.