Algebra I
Algebra in full, picking up where Pre-Algebra ends: linear equations and systems, graphing, inequalities, quadratics and complex numbers, functions, exponentials and logarithms, and sequences and series, every step from first principles.
72 of 72 lessons available so far.
1. The Language of Algebra
- From Arithmetic to Algebra
- Fractional Exponents and Radicals
- Arithmetic with Expressions
- Expanding and Factoring Expressions
- Algebraic Fractions
2. Linear Equations
- Solving Linear Equations
- Linear Equations in Disguise
- Word Problems with Linear Equations
- Solving for a Variable
3. Systems of Linear Equations
- Equations with Two Variables
- Solving Systems by Substitution
- Solving Systems by Elimination
- Word Problems with Systems
- Systems with More Variables
4. Ratios, Percents, and Proportion
- Ratio Problems
- Conversion Factors
- Percent Problems
- Direct and Inverse Proportion
- Rate and Work Problems
5. Graphing Lines
- Graphing Linear Equations
- Slope
- Finding the Equation of a Line
- Slope and Intercepts
- Parallel and Perpendicular Lines
6. Inequalities
Chapter Review A rapid pre-test review (speedrun) Chapter test Questions from across the chapter7. Quadratic Equations
- Introduction to Quadratics
- Factoring Quadratics
- Factoring Harder Quadratics
- Sums and Products of Roots
8. Special Factorizations
- Squares of Binomials
- Difference of Squares
- Sum and Difference of Cubes
- Rationalizing Denominators
- Factoring by Grouping
9. Complex Numbers and the Quadratic Formula
- Imaginary Numbers
- Arithmetic with Complex Numbers
- Completing the Square
- The Quadratic Formula
- Applications of Quadratics
10. Graphing Quadratics and Inequalities
Chapter Review A rapid pre-test review (speedrun) Chapter test Questions from across the chapter11. Functions
Chapter Review A rapid pre-test review (speedrun) Chapter test Questions from across the chapter12. Graphing Functions
Chapter Review A rapid pre-test review (speedrun) Chapter test Questions from across the chapter13. Polynomials, Exponentials, and Logarithms
- Adding and Subtracting Polynomials
- Multiplying Polynomials
- Exponential Functions
- Compound Interest
- Introduction to Logarithms
14. Special Functions
- Radical Functions
- Absolute Value Equations and Graphs
- Floor and Ceiling
- Rational Functions
- Piecewise Functions