# CLEP College Mathematics: Study Guide & Test Prep

• Course type: Self-paced
• Available Lessons: 146
• Average Lesson Length: 8 min
• Eligible for Certificate: Yes

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• CLEP College Mathematics: Study Guide & Test Prep Practice Test

### Course Summary

Use the fun lessons and short quizzes in our test prep course to prepare for the CLEP College Mathematics exam and get closer to your goal of earning college credit. These user-friendly study resources can strengthen and assess your math knowledge and boost your confidence before taking the exam.
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#### 17 chapters in CLEP College Mathematics: Study Guide & Test Prep

Course Practice Test

Check your knowledge of this course with a 50-question practice test.
• Comprehensive test covering all topics
• Detailed video explanations for wrong answers
Week {{::cp.getGoalWeekForTopic(0, 17)}}
Ch 1. Math Foundations {{cp.topicAssetIdToProgress[2440].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What are the Different Types of Numbers?
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Lesson 2 - How to Find the Prime Factorization of a Number
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Lesson 3 - How to Find the Greatest Common Factor
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Lesson 4 - How to Find the Least Common Multiple
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Lesson 5 - What Are the Different Parts of a Graph?
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Lesson 6 - How to Use The Midpoint Formula
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Lesson 7 - How to Use The Distance Formula
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Week {{::cp.getGoalWeekForTopic(1, 17)}}
Ch 2. Linear Equations {{cp.topicAssetIdToProgress[2441].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Linear Equation?
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Lesson 2 - Linear Equations: Intercepts, Standard Form and Graphing
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Lesson 3 - Abstract Algebraic Examples and Going from a Graph to a Rule
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Lesson 4 - Graphing Undefined Slope, Zero Slope and More
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Lesson 5 - How to Write a Linear Equation
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Lesson 6 - What is a System of Equations?
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Lesson 7 - How Do I Use a System of Equations?
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Week {{::cp.getGoalWeekForTopic(2, 17)}}
Ch 3. Solving and Graphing Inequalities {{cp.topicAssetIdToProgress[2442].percentComplete}}% complete
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Lesson 1 - What is an Inequality?
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Lesson 2 - How to Graph 1- and 2-Variable Inequalities
Score: {{cp.lessonAssetIdToProgress[572].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[572].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Set Notation, Compound Inequalities, and Systems of Inequalities
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Lesson 4 - Graphing Inequalities: Practice Problems
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Lesson 5 - How to Solve and Graph an Absolute Value Inequality
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Lesson 6 - Solving and Graphing Absolute Value Inequalities: Practice Problems
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Week {{::cp.getGoalWeekForTopic(3, 17)}}
Ch 4. Graphing and Factoring Quadratic Equations {{cp.topicAssetIdToProgress[2443].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Parabola?
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Lesson 2 - Parabolas in Standard, Intercept, and Vertex Form
Score: {{cp.lessonAssetIdToProgress[579].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[579].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Multiplying Binomials Using FOIL and the Area Method
Score: {{cp.lessonAssetIdToProgress[582].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[582].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Multiplying Binomials Using FOIL & the Area Method: Practice Problems
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Lesson 5 - How to Factor Quadratic Equations: FOIL in Reverse
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Lesson 6 - Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient
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Lesson 7 - How to Complete the Square
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Lesson 8 - Completing the Square Practice Problems
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Lesson 9 - How to Solve a Quadratic Equation by Factoring
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Lesson 10 - How to Use the Quadratic Formula to Solve a Quadratic Equation
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Lesson 11 - How to Solve Quadratics That Are Not in Standard Form
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Lesson 12 - Solving Quadratic Inequalities Using Two Binomials
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Week {{::cp.getGoalWeekForTopic(4, 17)}}
Ch 5. Complex and Imaginary Numbers {{cp.topicAssetIdToProgress[2444].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is an Imaginary Number?
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Lesson 2 - How to Add, Subtract and Multiply Complex Numbers
Score: {{cp.lessonAssetIdToProgress[594].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[594].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Divide Complex Numbers
Score: {{cp.lessonAssetIdToProgress[595].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[595].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Graph a Complex Number on the Complex Plane
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Lesson 5 - How to Solve Quadratics with Complex Numbers as the Solution
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Week {{::cp.getGoalWeekForTopic(5, 17)}}
Ch 6. Properties of Exponents {{cp.topicAssetIdToProgress[2445].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What Are the Five Main Exponent Properties?
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Lesson 2 - How to Define a Zero and Negative Exponent
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Lesson 3 - How to Simplify Expressions with Exponents
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Lesson 4 - Rational Exponents
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Lesson 5 - Simplifying Expressions with Rational Exponents
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Week {{::cp.getGoalWeekForTopic(6, 17)}}
Ch 7. Properties of Polynomials {{cp.topicAssetIdToProgress[2446].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Graph Cubics, Quartics, Quintics and Beyond
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Lesson 2 - How to Add, Subtract and Multiply Polynomials
Score: {{cp.lessonAssetIdToProgress[606].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[606].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Divide Polynomials with Long Division
Score: {{cp.lessonAssetIdToProgress[607].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[607].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Use Synthetic Division to Divide Polynomials
Score: {{cp.lessonAssetIdToProgress[608].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[608].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Dividing Polynomials with Long and Synthetic Division: Practice Problems
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Week {{::cp.getGoalWeekForTopic(7, 17)}}
Ch 8. Simplifying and Solving Rational Expressions {{cp.topicAssetIdToProgress[2447].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Multiply and Divide Rational Expressions
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Lesson 2 - Multiplying and Dividing Rational Expressions: Practice Problems
Score: {{cp.lessonAssetIdToProgress[612].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[612].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Add and Subtract Rational Expressions
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Lesson 4 - Practice Adding and Subtracting Rational Expressions
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Lesson 5 - How to Solve a Rational Equation
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Lesson 6 - Rational Equations: Practice Problems
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Week {{::cp.getGoalWeekForTopic(8, 17)}}
Ch 9. Properties of Functions {{cp.topicAssetIdToProgress[2448].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Function: Basics and Key Terms
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Lesson 2 - Functions: Identification, Notation & Practice Problems
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Lesson 3 - Transformations: How to Shift Graphs on a Plane
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Lesson 4 - How to Add, Subtract, Multiply and Divide Functions
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Lesson 5 - What Is Domain and Range in a Function?
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Lesson 6 - How to Compose Functions
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Lesson 7 - Inverse Functions
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Lesson 8 - Applying Function Operations Practice Problems
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Week {{::cp.getGoalWeekForTopic(9, 17)}}
Ch 10. Logarithms and Exponential Equations {{cp.topicAssetIdToProgress[2449].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What Is an Exponential Function?
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Lesson 2 - Exponential Growth vs. Decay
Score: {{cp.lessonAssetIdToProgress[619].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[619].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - What is a Logarithm?
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Lesson 4 - How to Evaluate Logarithms
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Lesson 5 - Logarithmic Properties
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Lesson 6 - Practice Problems for Logarithmic Properties
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Lesson 7 - How to Solve Exponential Equations
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Lesson 8 - How to Solve Logarithmic Equations
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Week {{::cp.getGoalWeekForTopic(10, 17)}}
Ch 11. Logic {{cp.topicAssetIdToProgress[2371].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Critical Thinking and Logic in Mathematics
Score: {{cp.lessonAssetIdToProgress[2372].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2372].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
Score: {{cp.lessonAssetIdToProgress[2422].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2422].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Logical Fallacies: Appeals to Ignorance, Emotion or Popularity
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Lesson 4 - Propositions, Truth Values and Truth Tables
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Lesson 5 - Logical Math Connectors: Conjunctions and Disjunctions
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Lesson 6 - Conditional Statements in Math
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Lesson 7 - Logic Laws: Converse, Inverse, Contrapositive & Counterexample
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Week {{::cp.getGoalWeekForTopic(11, 17)}}
Ch 12. Sets {{cp.topicAssetIdToProgress[2377].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Mathematical Sets: Elements, Intersections & Unions
Score: {{cp.lessonAssetIdToProgress[2378].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2378].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)
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Lesson 3 - How to Find the Cartesian Product
Score: {{cp.lessonAssetIdToProgress[2380].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2380].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union
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Lesson 5 - Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets
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Lesson 6 - How to Change Categorical Propositions to Standard Form
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Lesson 7 - What is a Two-Way Table?
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Week {{::cp.getGoalWeekForTopic(12, 17)}}
Ch 13. Probability and Statistics {{cp.topicAssetIdToProgress[2385].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Understanding Bar Graphs and Pie Charts
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Lesson 2 - How to Calculate Percent Increase with Relative & Cumulative Frequency Tables
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Lesson 3 - How to Calculate Mean, Median, Mode & Range
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Lesson 4 - Calculating the Standard Deviation
Score: {{cp.lessonAssetIdToProgress[2389].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2389].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Probability of Simple, Compound and Complementary Events
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Lesson 6 - Probability of Independent and Dependent Events
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Lesson 7 - Either/Or Probability: Overlapping and Non-Overlapping Events
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Lesson 8 - Probability of Independent Events: The 'At Least One' Rule
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Lesson 9 - How to Calculate Simple Conditional Probabilities
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Lesson 10 - Math Combinations: Formula and Example Problems
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Lesson 11 - How to Calculate the Probability of Combinations
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Lesson 12 - How to Calculate a Permutation
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Lesson 13 - How to Calculate the Probability of Permutations
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Week {{::cp.getGoalWeekForTopic(13, 17)}}
Ch 14. Concepts of Financial Mathematics {{cp.topicAssetIdToProgress[304307].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Calculate Depreciation Expense: Definition & Formula
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Lesson 2 - How to Find Simple Interest Rate: Definition, Formula & Examples
Score: {{cp.lessonAssetIdToProgress[15014].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[15014].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Compounding Interest Formulas: Calculations & Examples
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Lesson 4 - Nominal Interest Rate: Definition & Equation
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Lesson 5 - Real Interest Rate: Definition & Calculation
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Lesson 6 - How to Calculate Internal Rate of Return: Definition & Formula
Score: {{cp.lessonAssetIdToProgress[16065].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[16065].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - How to Calculate Net Present Value: Definition, Formula & Analysis
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Lesson 8 - How to Calculate Future Value: Formula & Example
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Lesson 9 - Calculating Monthly Loan Payments
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Lesson 10 - How to Calculate Mortgage Amortization
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Lesson 11 - How to Solve Problems Involving Reducing Balance Loans
Score: {{cp.lessonAssetIdToProgress[304309].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[304309].bestScoreQuestions}}  Take Quiz Optional
Lesson 12 - How to Calculate the Present Value of an Annuity
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Lesson 13 - What is a Perpetuity? - Definition & Formula
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Week {{::cp.getGoalWeekForTopic(14, 17)}}
Ch 15. Geometry {{cp.topicAssetIdToProgress[2399].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Properties of Shapes: Rectangles, Squares and Rhombuses
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Lesson 2 - Properties of Shapes: Triangles
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Lesson 3 - Perimeter of Triangles and Rectangles
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Lesson 4 - Area of Triangles and Rectangles
Score: {{cp.lessonAssetIdToProgress[2402].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2402].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Circles: Area and Circumference
Score: {{cp.lessonAssetIdToProgress[8563].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[8563].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - The Pythagorean Theorem: Practice and Application
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Lesson 7 - How to Identify Similar Triangles
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Lesson 8 - Applications of Similar Triangles
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Lesson 9 - Parallel, Perpendicular and Transverse Lines
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Lesson 10 - Types of Angles: Vertical, Corresponding, Alternate Interior & Others
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Lesson 11 - Angles and Triangles: Practice Problems
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Lesson 12 - Properties of Shapes: Circles
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