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Pre-Algebra
Pre-Algebra Resources
Syllabus
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Tools for Mastering Mathematics Book
Euler - Elements of Algebra
1. The Whole Numbers
1.1. An Introduction to the Whole Numbers (22:30)
1.2. Adding and Subtracting Whole Numbers (29:47)
1.3. Multiplication and Division of Whole Numbers (21:49)
1.4. Prime Factorization (10:57)
1.5. Order of Operations (19:16)
1.6. Solving Equations by Addition and Subtraction (11:20)
1.7. Solving Equations by Multiplication and Division (11:19)
2. The Integers
2.1. An Introduction to the Integers
2.2. Adding Integers
2.3. Subtracting Integers
2.4. Multiplication and Division of Integers
2.5. Order of Operations with Integers
2.6. Solving Equations Involving Integers
3. The Fundamentals of Algebra
3.1. Mathematical Expressions
3.2. Evaluating Algebraic Expressions
3.3. Simplifying Algebraic Expressions
3.4. Combining Like Terms
3.5. Solving Equations Involving Integers II
3.6. Applications
4. Fractions
4.1. Equivalent Fractions
4.2. Multiplying Fractions
4.3. Dividing Fractions
4.4. Adding and Subtracting Fractions
4.5. Multiplying and Dividing Mixed Fractions
4.6. Adding and Subtracting Mixed Fractions
4.7. Order of Operations with Fractions
4.8. Solving Equations with Fractions
5. Decimals
5.1. Introduction to Decimals
5.2. Adding and Subtracting Decimals
5.3. Multiplying Decimals
5.4. Dividing Decimals
5.5. Fractions and Decimals
5.6. Equations with Decimals
5.7. Introduction to Square Roots
5.8. The Pythagorean Theorem
6. Ratio and Proportion
6.1. Introduction to Ratios and Rates (18:01)
6.2. Introduction to Proportion (14:04)
6.3. Unit Conversion: American System (10:45)
6.4. Unit Conversion: Metric System
6.5. American Unit to Metric Unit and Vice-Versa
7. Percents
7.1. Percent, Decimals, Fractions
7.2. Solving Basic Percent Problems
7.3. General Applications of Percent
7.4. Percent Increase or Decrease
7.5. Interest
7.6. Pie Charts
8. Graphing
8.1. The Cartesian Coordinate System
8.2. Graphing Linear Equations
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4.7. Order of Operations with Fractions
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