| Topic | Name | Description |
|---|---|---|
| Unit 1: Number Properties | ||
| 1.1: Variables, Constants, and Coefficients | ||
| 1.2: Replacing Variables with Their Values | ||
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| 1.3: Order of Operations Review | . |
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| 1.4: Commutative Property of Addition and Multiplication | ||
| 1.5: Associative Property of Addition and Multiplication | ||
| 1.6: Distributive Property of Multiplication over Addition/Subtraction | ||
| 1.7: Definition and Examples of Like Terms | ||
| 1.8: Simplifying Expressions by Combining Like Terms | ||
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| Unit 2: Linear Equations | ||
| 2.1: Definition of an Equation and a Solution of an Equation | ||
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| 2.2: Addition/Subtraction Property of Equations | This is a book resource with multiple pages. Navigate between the pages using the
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| 2.3: Multiplication/Division Property of Equations | This is a book resource with multiple pages. Navigate between the pages using the
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| 2.4: Equations of the Form ax + b = c | ||
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| 2.5: Equations with Variables on Both Sides | ||
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| 2.6: Equations with Parentheses | ||
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| 2.7: Solving Literal Equation for One of the Variables | This is a book resource with multiple pages. Navigate between the pages using the
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| Unit 3: Word Problems | ||
| 3.1: Mathematical Symbols and Expressions for Common Words and Phrases | This is a book resource with multiple pages. Navigate between the pages using the
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| 3.2: Translating Verbal Expression into Mathematical Equations | ||
| 3.3: Consecutive Integer Problems | ||
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| 3.4: Number Problems | ||
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| 3.5: General Statement Problems | ||
| 3.6: Applying the Uniform Motion Equation | This is a book resource with multiple pages. Navigate between the pages using the
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| 3.7: Value Mixture Problems | ||
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Percent problems are also a common type of algebra word problem which often come up when dealing with price mark-ups, sale prices, or calculating tips at restaurants. Read the examples of how to calculate percent from fractions and how to translate percent word problems into equations. Pay attention to the formula for finding the percent of change since we use this formula frequently to determine sale prices. |
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| Unit 4: Inequalities | ||
| 4.1: Definition and Notation of an Inequality | ||
| 4.2: Graphing Inequalities on a Number Line | ||
| 4.3: Solving One-Step Inequalities | ||
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| 4.4: Solving Multi-Step Inequalities | ||
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| Unit 5: Graphs of Linear Equations and Inequalities | ||
| 5.1: Graphing Points in the Rectangular Coordinate Plane | ||
| 5.2: Ordered Pairs as Solutions of an Equation in Two Variables | ||
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| 5.3: Graphing Equations in Two Variables of the Form ax + by = c | ||
| 5.4: Intercepts of a Line | This is a book resource with multiple pages. Navigate between the pages using the
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| 5.5: Definition of Slope and Slope Formula | This is a book resource with multiple pages. Navigate between the pages using the
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| 5.6: Slopes of Parallel and Perpendicular Lines | This is a book resource with multiple pages. Navigate between the pages using the
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| 5.7: Graphing Equations in Two Variables of the Form y = mx + b | This is a book resource with multiple pages. Navigate between the pages using the
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| 5.8: Point-Slope Form | This is a book resource with multiple pages. Navigate between the pages using the
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| 5.9: Graphing Linear Inequality of Two Variables on the Coordinate Plane | This is a book resource with multiple pages. Navigate between the pages using the
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| Unit 6: Systems of Linear Equations and Inequalities | ||
| 6.1: Solution of a System of Linear Equations | ||
| 6.2: Solving Systems of Linear Equations by Graphing | This is a book resource with multiple pages. Navigate between the pages using the
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| 6.3: Solving Systems of Linear Equations Using the Substitution Method | ||
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| 6.4: Solving Systems of Linear Equations Using the Elimination Method | ||
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| 6.5: Strategy for Solving Systems of Linear Equations: Choosing a Method | This is a book resource with multiple pages. Navigate between the pages using the
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| 6.6: Solving Word Problems by Using Systems of Equations | ||
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| 6.7: Graphing Systems of Linear Inequalities | This is a book resource with multiple pages. Navigate between the pages using the
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| 6.8: Applications of Systems of Linear Inequalities | This is a book resource with multiple pages. Navigate between the pages using the
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| Unit 7: Operations with Monomials | ||
| 7.1: Algebraic Exponential Expressions | This is a book resource with multiple pages. Navigate between the pages using the
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| 7.2: Quotient of Exponents and Power of a Quotient | This is a book resource with multiple pages. Navigate between the pages using the
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| 7.3: Negative Exponents | ||
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| 7.4: Multiplying Monomials | ||
| 7.5: Dividing Monomials | This is a book resource with multiple pages. Navigate between the pages using the
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| Unit 8: Operations with Polynomials | ||
| 8.1: Classifying Polynomials | ||
| 8.2: Adding and Subtracting Polynomials | This is a book resource with multiple pages. Navigate between the pages using the
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| 8.3: Multiplying a Polynomial by a Monomial | This is a book resource with multiple pages. Navigate between the pages using the
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| 8.4: Multiplying Binomials (FOIL) | This is a book resource with multiple pages. Navigate between the pages using the
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| 8.5: Complete the Square and Difference of Two Squares | ||
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| 8.6: Multiplying Polynomials with Any Number of Terms | ||
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| 8.7: Dividing a Polynomial by a Monomial | ||
| 8.8: Dividing a Polynomial by a Binomial | ||
| Unit 9: Factoring Polynomials | ||
| 9.1: Identifying the Greatest Common Factor (GCF) of Two or More Monomials and Other Expressions | ||
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| 9.2: Factoring Polynomials by Grouping | ||
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| 9.3: Revisiting FOIL: Working Backwards | This is a book resource with multiple pages. Navigate between the pages using the
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| 9.4: Factoring Trinomials of the Form x² + bx + c When c Is Positive | ||
| 9.5: Factoring Trinomials of the Form x² + bx + c When c Is Negative | This is a book resource with multiple pages. Navigate between the pages using the
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| 9.6: Factoring Trinomials of the Form x² + bxy + cy² and ax² + bxy + cy² | ||
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| 9.7: Identifying and Factoring Complete Square Trinomials | This is a book resource with multiple pages. Navigate between the pages using the
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This video shows how to check whether the given trinomial is a complete square. Factor it if it is. You should try to factor by grouping if it is not. |
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| 9.8: Identifying and Factoring Difference of Two Squares | This is a book resource with multiple pages. Navigate between the pages using the
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| 9.9: Factoring General Polynomials | ||
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| 9.10: Principle of Zero Product and Identifying Solutions | ||
| 9.11: Using Factoring to Solve Quadratic Equations | This is a book resource with multiple pages. Navigate between the pages using the
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| 9.12: Solving Application Problems | This is a book resource with multiple pages. Navigate between the pages using the
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| Study Guide | ||
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