Algebra

A complete Algebra 1 course that takes you from the foundations of variables and expressions all the way to quadratic, radical, and rational functions, finishing with data analysis and probability.

Across 12 units and 92 lessons you will learn to solve equations and inequalities, understand and graph functions, work with exponents and polynomials, and apply algebra to real-world problems. Suitable for middle and high school students, and for anyone refreshing their math skills for college or work.

Course Content

Unit 1 – Foundations of Algebra

1-1 Variables and Expressions
1-2 Order of Operations and Evaluating Expressions
1-3 Real Numbers and the Number Line
1-4 Properties of Real Numbers
1-5 Adding and Subtracting Real Numbers
1-6 Multiplying and Dividing Real Numbers
1-7 The Distributive Property
1-8 An Introduction to Equations
1-9 Patterns, Equations, and Graphs

Unit 2 – Solving Equations

2-1 Solving One-Step Equations
2-2 Solving Two-Step Equations
2-3 Solving Multi-Step Equations
2-4 Solving Equations with Variables on Both Sides
2-5 Literal Equations and Formulas
2-6 Ratios, Rates, and Conversions
2-7 Solving Proportions
2-8 Proportions and Similar Figures
2-9 Percentages
2-10 Change Expressed as a Percent

Unit 3 – Solving Inequalities

Unit 4 – An Introduction to Functions

Unit 5 – Linear Functions

Unit 6 – Systems of Equations and Inequalities

Unit 7 – Exponents and Exponential Functions

Unit 8 – Polynomials and Factoring

Unit 9 – Quadratic Functions and Equations

Unit 10 – Radical Expressions and Equations

Unit 11 – Rational Expressions and Functions

Unit 12 – Data Analysis and Probability

A course by

Shashank D Sagar

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Price:
$80.00 ~~$100.00~~
Lessons:92
Students:0
Level:Intermediate

Course Content

Unit 1 – Foundations of Algebra

1-1 Variables and Expressions

1-2 Order of Operations and Evaluating Expressions

1-3 Real Numbers and the Number Line

1-4 Properties of Real Numbers

1-5 Adding and Subtracting Real Numbers

1-6 Multiplying and Dividing Real Numbers

1-7 The Distributive Property

1-8 An Introduction to Equations

1-9 Patterns, Equations, and Graphs

Unit 2 – Solving Equations

2-1 Solving One-Step Equations

2-2 Solving Two-Step Equations

2-3 Solving Multi-Step Equations

2-4 Solving Equations with Variables on Both Sides

2-5 Literal Equations and Formulas

2-6 Ratios, Rates, and Conversions

2-7 Solving Proportions

2-8 Proportions and Similar Figures

2-9 Percentages

2-10 Change Expressed as a Percent

Unit 3 – Solving Inequalities

3-1 Inequalities and Their Graphs

3-2 Solving Inequalities Using Addition and Subtraction

3-3 Solving Inequalities Using Multiplication or Division

3-4 Solving Multi-Step Inequalities

3-5 Working with Sets

3-6 Compound Inequalities

3-7 Absolute Value Equations and Inequalities

3-8 Union and Intersection of Sets

Unit 4 – An Introduction to Functions

4-1 Using Graphs to Relate Two Quantities

4-2 Patterns and Linear Functions

4-3 Patterns and Nonlinear Functions

4-4 Graphing a Function Rule

4-5 Writing a Function Rule

4-6 Formalizing Relations and Functions

4-7 Arithmetic Sequences

Unit 5 – Linear Functions

5-1 Rate of Change and Slope

5-2 Direct Variation

5-3 Slope-Intercept Form

5-4 Point-Slope Form

5-5 Standard Form

5-6 Parallel and Perpendicular Lines

5-7 Scatter Plots and Trend Lines

5-8 Graphing Absolute Value Functions

Unit 6 – Systems of Equations and Inequalities

6-1 Solving Systems by Graphing

6-2 Solving Systems Using Substitution

6-3 Solving Systems Using Elimination

6-4 Applications of Linear Systems

6-5 Linear Inequalities

6-6 Systems of Linear Inequalities

Unit 7 – Exponents and Exponential Functions

7-1 Zero and Negative Exponents

7-2 Multiplying Powers with the Same Base

7-3 More Multiplication Properties of Exponents

7-4 Division Properties of Exponents

7-5 Rational Exponents and Radicals

7-6 Exponential Functions

7-7 Exponential Growth and Decay

Unit 8 – Polynomials and Factoring

8-1 Adding and Subtracting Polynomials

8-2 Multiplying and Factoring

8-3 Multiplying Binomials

8-4 Multiplying Special Cases

8-5 Factoring x² + bx + c

8-6 Factoring ax² + bx + c

8-7 Factoring Special Cases

8-8 Factoring by Grouping

Unit 9 – Quadratic Functions and Equations

9-1 Quadratic Graphs and Their Properties

9-2 Quadratic Functions

9-3 Solving Quadratic Equations

9-4 Factoring to Solve Quadratic Equations

9-5 Completing the Square

9-6 The Quadratic Formula and the Discriminant