From solving systems of linear equations to factoring polynomials, this course will help you ace your tests in school!
What you will learn
Students will be able to solve different types of equations and inequalities
Students will understand the fundamentals of math and be able to move on to courses like Geometry and Algebra 2
Students will be able to simplify complex expressions
English
language
Content
Introduction to Algebra
Introduction to Variables
Basic Applications of Variables
Exponents and Powers
Order of Operations
Practice-Order of Operations
Equations and Inequalities
Translating Words Into Expressions
Practice-Translating Words Into Expressions
Introduction to Functions
Applications of Functions
Properties of Real Numbers
Introduction to Real Numbers
Absolute Value
Adding Real Numbers
Properties of Addition
Subtracting Real Numbers
Practice-Adding and Subtracting Real Numbers
Multiplying Real Numbers
Properties of Multiplication
Distributive Property
Dividing Real Numbers
Practice-Operations with Real Numbers
How to Solve Linear Equations
Intro to Linear Equations/How to Solve Using Addition and Subtraction
Solving One-Step Equations with Multiplication/Division
Solving Multi-Step Equations
How to Solve Equations with Variables on Both Sides
Special Types of Solutions
Practice-Solving Linear Equations 1
Practice-Solving Linear Equations 2
Applications of Linear Equations
Solving Decimal Equations
Formulas
Functions
Rates, Ratios, and Percents
Practice-Rates, Ratios, and Percents
Graphing Linear Equations and Functions
Introduction to Graphing
Scatter Plots
How to Graph Functions
Horizontal and Vertical Lines
Graphing Using Intercepts
What is Slope?
Types of Slopes
Direct Variation
Slope-Intercept Form
Parallel and Perpendicular Lines
Solving Linear Equations Using Graphing
Vertical Line Test
Function Notation
Writing Linear Equations
Writing Linear Equations in Slope Intercept Form
Writing Linear Equations With a Point and a Slope
Writing Linear Equations When Given Two Points
Practice-Writing Linear Equations
Correlation
Best Fit Lines
Point-Slope Form
Changing From Point-Slope to Slope-Intercept
Standard Form
Summary of the Forms of Linear Equations
Linear Interpolation and Extrapolation
Solving and Graphing Linear Inequalities
One-Step Linear Inequalities
More One-Step Linear Inequalities
Multi-Step Linear Inequalities
Solving Linear Inequalities with Variables on Both Sides
Solving Compound Inequalities
Practice-Solving Compound Inequalities
Solving Absolute Value Equations
Solving Absolute Value Inequalities
Graphing Linear Inequalities in Two Variables
Graphing Multiple Linear Inequalities
Stem and Leaf Plots; Mean, Median, and Mode
Practice-Stem and Leaf Plots; Mean, Median, and Mode
Box and Whisker Plots
Systems of Linear Equations and Inequalities
Solving Linear Systems by Graphing
Solving Linear Systems by Substitution
Practice-Solving Linear Systems by Substitution
Solving Linear Systems by Elimination
Practice-Solving Linear Systems by Elimination
Summary of the Methods of Solving Linear Systems
Applications of Linear Systems
Special Types of Linear Systems
Solving Systems of Linear Inequalities
Special Types of Linear Inequalities
Exponents and Exponential Functions
Properties of Exponents
Zero and Negative Exponents
Dividing Exponents
Practice-Simplifying Exponential Expressions
Exponential Functions
Scientific Notation
Exponential Growth
Exponential Decay
Practice-Exponential Functions
Quadratic Equations and Functions
Introduction to Square Roots
Perfect Squares
Introduction to Quadratic Equations
Properties of Radicals
Graphing Quadratic Functions
Practice-Graphing Quadratic Functions
Solving Quadratic Equations by Graphing
The Quadratic Formula
Applications of Quadratic Functions
The Discriminant
Graphing Quadratic Inequalities
Comparing Linear, Exponential, and Quadratic Models
Practice-Fitting Models to Functions
Polynomials and Factoring
Introduction to Polynomials
Adding and Subtracting Polynomials
FOILing
Practice-FOILing
Special Products of Polynomials
Solving Polynomial Equations in Factored Form
Factoring Part 1
Factoring Part 2
Connecting the Discriminant to Factoring
Factoring Expressions Where the Leading Coefficient isn’t 1
Practice-Factoring Expressions
Factoring Special Products of Polynomials
Factoring Using the Distributive Property
Factoring by Grouping
Writing a Polynomial Model
Rational Equations and Functions
Properties of Proportions
Extraneous Solutions
Percent Problems
Direct and Inverse Variation
Simplifying Fractions
Practice-Simplifying Fractions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Dividing Polynomials
Long Division with Polynomials
Rational Equations
Hyperbolas
Radicals and Completing the Square
Graphing Square Root Functions
Operations with Radicals
FOILing Radical Expressions
Solving Radical Equations
Completing the Square
Practice-Completing the Square
Brief Conclusion!