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

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## College Mathematics Complete Course

### Fractions and Decimals

- Simplifying Fractions
- Adding and Subtracting Fractions
- Multiplying and Dividing Fractions
- Adding Mixed Numbers
- Subtracting Mixed Numbers
- Multiplying Mixed Numbers
- Dividing Mixed Numbers
- Adding and Subtracting Decimals
- Multiplying and Dividing Decimals
- Comparing Decimals
- Rounding Decimals
- Factoring Numbers
- Greatest Common Factor
- Least Common Multiple

### Real Numbers and Integers

- Adding and Subtracting Integers
- Multiplying and Dividing Integers
- Order of Operations
- Ordering Integers and Numbers
- Integers and Absolute Value

### Proportions, Ratios, and Percent

- Simplifying Ratios
- Proportional Ratios
- Similarity and Ratios
- Percentage Calculations
- Percent Problems
- Discount, Tax and Tip
- Percent of Increase and Decrease
- Simple Interest

### Algebraic Expressions

- Simplifying Variable Expressions
- Simplifying Polynomial Expressions
- Translate Phrases into an Algebraic Statement
- The Distributive Property
- Evaluating One Variable Expressions
- Evaluating Two Variables Expressions
- Combining like Terms

### Equations and Inequalities

- One-Step Equations
- Multi-Step Equations
- Graphing Single–Variable Inequalities
- One-Step Inequalities
- Multi-Step Inequalities
- Systems of Equations

### Linear Functions

- Finding Slope
- Graphing Lines Using Standard Form
- Graphing Lines Using Slope-Intercept Form
- Writing Linear Equations
- Graphing Linear Inequalities
- Finding Midpoint
- Finding Distance of Two Points

### Exponents and Radicals

- Multiplication Property of Exponents
- Division Property of Exponents
- Zero and Negative Exponents
- Powers of Products and Quotients
- Negative Exponents and Negative Bases
- Scientific Notation
- Radicals

### Polynomials

- Writing Polynomials in Standard Form
- Simplifying Polynomials
- Adding and Subtracting Polynomials
- Multiplying Monomials
- Multiplying and Dividing Monomials
- Multiplying a Polynomial and a Monomial
- Multiplying Binomials
- Factoring Trinomials
- Operations with Polynomials

### Geometry and Solid Figures

### Statistics and Probability

- Mean, Median, Mode, and Range
- Histograms
- Pie Graph
- Probability Problems
- Combinations and Permutations

### Functions

- Function Notation
- Adding and Subtracting Functions
- Multiplying and Dividing Functions
- Composition of Functions

### Quadratic

- Solving a Quadratic Equation
- Graphing Quadratic Functions
- Solving Quadratic Inequalities
- Graphing Quadratic Inequalities

### Matrices

### Logarithms

### Complex Numbers

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

### Trigonometric Functions

- Trig Ratios of General Angles
- Coterminal Angles and Reference Angles
- Angles and Angle Measure
- Evaluating Trigonometric Function
- Missing Sides and Angles of a Right Triangle
- Arc Length and Sector Area

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

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