Algebra I

Chapter 1: Basics of Algebra

1. Introduction to Consecutive Integers
2. Consecutive Integers and Word Problems
3. Perimeter World Problems Involving Variables
4. Variables and Expressions
5. Convert Word Statements into Algebraic Expressions
6. Order of Operations and Evaluation of Expressions
7. Properties of Real Numbers
8. The Distributive Property
9. Introduction to Equations

Chapter 2: Solving Equations

1. One-Step Equations
2. Two-Step Equations
3. Multi-Step Equations
4. Equations w/variables on both sides
5. Literal Equations
6. Writing an equation of a line when given two point
7. Writing an Equation from Standard form to Slop Intercept form
8. How to Convert Slope-Intercept From to Standard Form

Chapter 3: Solving Inequalities

1. Introduction to Inequalities
2. Solving Inequalities with addition or subtraction
3. Solving Inequalities with multiplication or division
4. Solving Multi-Step Inequalities
5. What are Compound Inequalities
6. Solving Compound Inequalities
7. Absolute Value Equations and Inequalities

Chapter 4: Introduction to Functions

1. Using Graphs to Relate Two Quantities
2. Linear Functions and Patterns
3. Nonlinear Functions and Patterns
4. Graphing Function Rules
5. Writing Function Rules
6. Relations and Functions
7. Sequences and Functions
8. Find the Missing Coordinates

Chapter 5: Linear Functions

1. Rate of Change and Slope
2. Direct Variation
3. Graphing Absolute Value Functions
4. Writing a Linear Equation from a Table

Chapter 6: Systems of Equations and Inequalities

1. Solving Systems by Graphing Method
2. Solving Systems by Substitution Method
3. Solving Systems by Elimination Method
4. Linear Inequalities
5. Solving Systems of Linear Inequalities

Chapter 7: Exponents and Exponential Functions

1. Zero and Negative Exponents
2. Scientific Notation
3. Multiplying Powers with the Same Base
4. Multiplication Properties of Exponents
5. Division Properties of Exponents
6. Exponential Functions
7. Exponential Growth and Decay

Chapter 8: Polynomials and Factoring

1. What is Monomial
2. What is Degree of Monomial
3. What is Polynomial
4. Standard Form of Polynomial
5. Classifying Polynomials
6. How to Add Polynomial
7. How to Subtract Polynomial
8. Multiplying a Monomial and a Trinomial
9. GCF (Greatest Common Factor) of a Polynomial
10. Factoring out a Monomial
11. Multiplying a Binomial and a Trinomial
12. The Square of a Binomial
13. The Product of a Sum and Difference
14. Factoring x²+bx+c When value of C is less than 0
15. Factoring x²+bx+ c When b is less than 0 and c is greater than 0
16. Factoring x²+bx+c When b is greater than 0 and c is also greater than 0
17. Applying Factoring Trinomials
18. Factoring a Trinomial with Two Variables
19. Factoring ax^2+bx+c when ac is Positive
20. Factoring ax^2+bx+c when ac is Negative
21. Factoring Perfect-Square Trinomials
22. Factoring a Difference of Two Squares
23. Factoring out a Common Factor
24. Factoring a Cubic Polynomial
25. Factoring a Polynomial Completely

Chapter 9: Quadratic Functions and Equations

1. Quadratic Graphs and Their Properties
2. Quadratic Functions
3. Solving Quadratic Equations
4. Solve Quadratic Equations by Factoring
5. Quadratic Formula and The Discriminant
6. Linear, Quadratic, and Exponential Models
7. Systems of Linear and Quadratic Equations

Chapter 10: Radical Expressions and Equations

1. Introduction to The Pythagorean Theorem
2. Simplifying Radicals
3. Adding and Subtracting Radicals
4. Operations with Radical Expressions
5. Solving Radical Equations

Chapter 11: Rational Expressions and Functions

1. Simplifying Rational Expressions
2. Multiplying and Dividing Rational Expressions
3. Dividing Polynomials