GreeneMath | Algebra 1

In this course, you will master the basic concepts of algebra 1 using GreeneMath.com’s three step system. These concepts are fundamental to success in higher math classes such as Algebra II, Geometry, and Calculus. We will start by learning about variables and expressions, then move on to learn about: solving linear equations in one variable, graphing linear equations in two variables, systems of linear equations, operations with polynomials, factoring polynomials, rational expressions, roots, and solving quadratic equations.

Linear Equations

Linear Inequalities

Graphing

Functions

Linear Systems

Exponents

Polynomials

Factoring

Rational Expressions

Radicals

Quadratic Equations

Sections:

Linear Equations

Linear Inequalities

Graphing

Functions

Linear Systems

Exponents

Polynomials

Factoring

Rational Expressions

Radicals

Quadratic Equations

## Linear Equations

### Algebra 1 Lesson #1: Variables & Expressions

Exam Solutions: Sections I - V

### Algebra 1 Lesson #2: Equation Definition

Exam Solutions: Sections I - V

### Algebra 1 Lesson #3: Addition Property of Equality

Exam Solutions: Sections I - V

### Algebra 1 Lesson #4: Multiplication Property of Equality

Exam Solutions: Sections I - V

### Algebra 1 Lesson #5: Multi-Step Linear Equations

Exam Solutions: Sections I - V

### Algebra 1 Lesson #6: Equations with Fractions/Decimals

Exam Solutions: Sections I - V

### Algebra 1 Lesson #7: Special Case Equations

Exam Solutions: Sections I - V

### Algebra 1 Lesson #8: Applications of Linear Equations 1

Exam Solutions: Sections I - V

### Algebra 1 Lesson #9: Applications of Linear Equations 2

Exam Solutions: Sections I - V

### Algebra 1 Lesson #10: Proportions

Exam Solutions: Sections I - V

## Linear Inequalities

### Algebra 1 Lesson #11: Solving Linear Inequalities 1

Exam Solutions: Sections I - V

### Algebra 1 Lesson #12: Solving Linear Inequalities 2

Exam Solutions: Sections I - V

## Graphing

### Algebra 1 Lesson #13: Linear Equations in two Variables

Exam Solutions: Sections I - V

### Algebra 1 Lesson #14: Plotting Ordered Pairs

Exam Solutions: Sections I - V

### Algebra 1 Lesson #15: Graphing Linear Equations

Exam Solutions: Sections I - V

### Algebra 1 Lesson #16: Slope Formula

Exam Solutions: Sections I - V

### Algebra 1 Lesson #17: Equations of a Line

Exam Solutions: Sections I - V

### Algebra 1 Lesson #18: Parallel & Perpendicular Lines

Exam Solutions: Sections I - V

### Algebra 1 Lesson #19: Graphing Inequalities

Exam Solutions: Sections I - V

## Functions

### Algebra 1 Lesson #20: Introduction to Functions

Exam Solutions: Sections I - V

## Linear Systems

### Algebra 1 Lesson #21: Solving Linear Systems by Graphing

Exam Solutions: Sections I - V

### Algebra 1 Lesson #22: Solving Linear Systems by Substitution

Exam Solutions: Sections I - V

### Algebra 1 Lesson #23: Solving Linear Systems by Elimination

Exam Solutions: Sections I - V

### Algebra 1 Lesson #24: Applications of Linear Systems

Exam Solutions: Sections I - V

### Algebra 1 Lesson #25: Systems of Linear Inequalities

Exam Solutions: Sections I - V

## Exponents

### Algebra 1 Lesson #26: Exponents: Product & Power Rules

Exam Solutions: Sections I - V

### Algebra 1 Lesson #27: Negative Exponents & the Quotient Rule

Exam Solutions: Sections I - V

### Algebra 1 Lesson #28: Scientific Notation

Exam Solutions: Sections I - V

## Polynomials

### Algebra 1 Lesson #29: Adding & Subtracting Polynomials

Exam Solutions: Sections I - V

### Algebra 1 Lesson #30: Multiplying Polynomials

Exam Solutions: Sections I - V

### Algebra 1 Lesson #31: FOIL

Exam Solutions: Sections I - V

### Algebra 1 Lesson #32: Special Polynomial Products

Exam Solutions: Sections I - V

### Algebra 1 Lesson #33: Dividing Polynomials by Monomials

Exam Solutions: Sections I - V

### Algebra 1 Lesson #34: Dividing Polynomials

Exam Solutions: Sections I - V

### Algebra 1 Lesson #35: Dividing Polynomials with Missing Terms

Exam Solutions: Sections I - V

## Factoring

### Algebra 1 Lesson #36: GCF of a Monomial

Exam Solutions: Sections I - V

### Algebra 1 Lesson #37: Factoring out the GCF

Exam Solutions: Sections I - V

### Algebra 1 Lesson #38: Factoring by Grouping

Exam Solutions: Sections I - V

### Algebra 1 Lesson #39: Factoring Trinomials: a=1

Exam Solutions: Sections I - V

### Algebra 1 Lesson #40: Factoring Trinomials: a ≠ 1

Exam Solutions: Sections I - V

### Algebra 1 Lesson #41: Special Factoring

Exam Solutions: Sections I - V

### Algebra 1 Lesson #42: Solving Quadratic Equations by Factoring

Exam Solutions: Sections I - V

## Rational Expressions

### Algebra 1 Lesson #43: Rational Expression Definition

Exam Solutions: Sections I - V

### Algebra 1 Lesson #44: Multiplying Rational Expressions

Exam Solutions: Sections I - V

### Algebra 1 Lesson #45: LCD of Rational Expressions

Exam Solutions: Sections I - V

### Algebra 1 Lesson #46: Adding Rational Expressions

Exam Solutions: Sections I - V

### Algebra 1 Lesson #47: Complex Rational Expressions

Exam Solutions: Sections I - V

### Algebra 1 Lesson #48: Solving Rational Equations

Exam Solutions: Sections I - V

### Algebra 1 Lesson #49: Applications of Rational Expressions

Exam Solutions: Sections I - V

### Algebra 1 Lesson #50: Direct Variation

Exam Solutions: Sections I - V

### Algebra 1 Lesson #51: Inverse Variation

Exam Solutions: Sections I - V

## Radicals

### Algebra 1 Lesson #52: Square Roots

Exam Solutions: Sections I - V

### Algebra 1 Lesson #53: The Distance Formula

Exam Solutions: Sections I - V

### Algebra 1 Lesson #54: Simplifying Radicals

Exam Solutions: Sections I - V

### Algebra 1 Lesson #55: Adding Radicals

Exam Solutions: Sections I - V

### Algebra 1 Lesson #56: Rationalizing the Denominator

Exam Solutions: Sections I - V

### Algebra 1 Lesson #57: Further Operations with Radicals

Exam Solutions: Sections I - V

### Algebra 1 Lesson #58: Solving Radical Equations

Exam Solutions: Sections I - V

### Algebra 1 Lesson #59: Fractional Exponents

Exam Solutions: Sections I - V

## Quadratic Equations

### Algebra 1 Lesson #60: Square Root Property

Exam Solutions: Sections I - V

### Algebra 1 Lesson #61: Completing the Square

Exam Solutions: Sections I - V

### Algebra 1 Lesson #62: The Quadratic Formula

Exam Solutions: Sections I - V