Math - ck12.org Algebra 1 Examples
Select problems from ck12.org's Algebra 1 FlexBook (Open Source Textbook). This is a good playlist to review if you want to make sure you have a good understanding of all of the major topics in Algebra I.
Open the Algebra 1 Book here to look at the topics covered in these videos.
- Variable Expressions
- Order of Operations
- Patterns and Equations
- Equations and Inequalities
- Domain and Range of a Function
- Functions as Graphs
- Word Problem Solving Plan 1
- Word Problem Solving Strategies
- Integers and Rational Numbers
- Addition of Rational Numbers
- Subraction of Rational Numbers
- Multiplication of Rational Numbers
- Distributive Property
- Division of Rational Numbers
- Square Roots and Real Numbers
- Problem Solving Word Problems 2
- One Step Equations
- Two-Step Equations
- Multi-Step Equations
- Equations with Variables on Both Sides
- Ratio and Proportion
- Scale and Indirect Measurement
- Percent Problems
- Word Problem Solving 3
- The Coordinate Plane
- Graphing Using Intercepts
- Graphs of Linear Equations
- Slope and Rate of Change
- Graphs Using Slope-Intercept Form
- Direct Variation Models
- Linear Function Graphs
- Word Problem Solving 4
- Linear Equations in Slope Intercept Form
- Linear Equations in Point Slope Form
- Linear Equations in Standard Form
- Equations of Parallel and Perpendicular Lines
- Fitting a Line to Data
- Predicting with Linear Models
- Using a Linear Model
- Inequalities Using Addition and Subtraction
- Inequalities Using Multiplication and Division
- Multi-Step Inequalities
- Compound Inequalities
- Absolute Value Equations
- Absolute Value Inequalities
- Graphing Inequalities
- Solving Linear Systems by Graphing
- Solving Linear Systems by Substitution
- Solving Systems of Equations by Elimination
- Solving Systems of Equations by Multiplication
- Special Types of Linear Systems
- Systems of Linear Inequalities
- Exponent Properties Involving Products
- Exponent Properties Involving Quotients
- Zero, Negative, and Fractional Exponents
- Scientific Notation
- Exponential Growth Functions
- Exponential Decay Functions
- Geometric Sequences (Introduction)
- Word Problem Solving- Exponential Growth and Decay
- Addition and Subtraction of Polynomials
- Multiplication of Polynomials
- Special Products of Binomials
- Polynomial Equations in Factored Form
- Factoring Quadratic Expressions
- Factoring Special Products
- Factor by Grouping and Factoring Completely
- Graphs of Quadratic Functions
- Solving Quadratic Equations by Graphing
- Solving Quadratic Equations by Square Roots
- Solving Quadratic Equations by Completing the Square
- Using the Quadratic Formula
- Proof of Quadratic Formula
- Discriminant of Quadratic Equations
- Linear, Quadratic, and Exponential Models
- Identifying Quadratic Models
- Identifying Exponential Models
- Quadratic Regression
- Graphs of Square Root Functions
- Radical Expressions with Higher Roots
- More Simplifying Radical Expressions
- How to Rationalize a Denominator
- Extraneous Solutions to Radical Equations
- Radical Equation Examples
- More Involved Radical Equation Example
- Pythagorean Theorem
- Distance Formula
- Midpoint Formula
- Visual Pythagorean Theorem Proof
- Average or Central Tendency: Arithmetic Mean, Median, and Mode
- Range, Variance and Standard Deviation as Measures of Dispersion
- Stem and Leaf Plots
- Histograms
- Box-and-whisker Plot
- Proportionality
- Asymptotes of Rational Functions
- Another Rational Function Graph Example
- A Third Example of Graphing a Rational Function
- Polynomial Division
- Simplifying Rational Expressions
- Multiplying and Dividing Rational Expressions
- Adding Rational Expressions Example 1
- Adding Rational Expressions Example 2
- Adding Rational Expressions Example 3
- Solving Rational Equations
- Two more examples of solving rational equations
- Surveys and Samples
- Pythagorean Theorem 3