# The Ultimate Praxis Algebra 1 (5162) Course (+FREE Worksheets)

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## Praxis Algebra I (5162) 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

### Polynomials

- Simplifying Polynomials
- Adding and Subtracting Polynomials
- Multiplying Monomials
- Multiplying and Dividing Monomials
- Multiplying a Polynomial and a Monomial
- Multiplying Binomials
- Factoring Trinomials
- Factoring Polynomials
- Perfect Square Trinomial

### Functions Operations

- Function Notation
- Adding and Subtracting Functions
- Multiplying and Dividing Functions
- Composition of Functions
- Function Inverses
- Average Rate of Change of a Function
- Finding Domain and Range
- Increasing and Decreasing Functions
- Maxima and Minima of a Function

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### Radical Expressions

- Simplifying Radical Expressions
- Adding and Subtracting Radical Expressions
- Multiplying Radical Expressions
- Rationalizing Radical Expressions
- Radical Equations
- Domain and Range of Radical Functions

### Rational Expressions

- Simplifying Complex Fractions
- Graphing Rational Functions
- Adding and Subtracting Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions

### Statistics and Probabilities

- Mean, Median, Mode, and Range of the Given Data
- Pie Graph
- Scatter Plots
- Probability Problems
- Permutations and Combinations

### Absolute Value and Piecewise Functions

- Solving Absolute value Equations
- Graphing Absolute Value Equations
- Solving Absolute Value Inequalities
- Graphing Absolute Value Inequalities
- Piecewise Function

### Working with Units

### Exponential Growth and Decay

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