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AB – Math 20-1 | Studying Materials & Exercises

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Math 20-1 Chapter 1 – Absolute Value of Numbers and Intro to Radicals

7 Topics | 9 Exercises / Quizzes

1.1 Absolute Value of a Number and the Number Line

1.2 Equations and Inequalities Involving Absolute Value

1.3 Powers and Roots of Numbers

1.4 Ordering Radicals and Using a Calculator to Approximate Values

1.5 Simplifying Radicals by Factoring

1.6 Adding and Subtracting Radicals

1.7 Multiplication and Division of SquareRoot Radicals

Math 20-1 Chapter 2 – Properties and Applications of Radicals

6 Topics | 8 Exercises / Quizzes

2.1 Writing Radicals in Simplest Form

2.2 Product of a Binomial times a Binomial

2.3 Conjugates of Binomials and Rationalizing Denominators

2.4 Relationships between Roots, Absolute Values, and Signs

2.5 Solving Equations Involving Radicals

2.6 Problems Involving Radical Expressions

Math 20-1 Chapter 3 – Rational Expressions and Equations

9 Topics | 11 Exercises / Quizzes

3.1 Rational Numbers (Review)

3.2 Addition and Subtraction of Fractions (Review)

3.3 Multiplication and Division of Fractions (Review)

3.4 Rational Expressions

3.5 Adding and Subtracting Rational Expressions

3.6 Multiplying and Dividing Rational Expressions

3.7 Multiple Operations with Rational Expressions

3.8 Rational Equations

3.9 Solving Problems Involving Rational Equations

Math 20-1 Chapter 4 – Trigonometry

5 Topics | 7 Exercises / Quizzes

4.1 Definition of Trig Functions and Angles in Standard Position

4.2 Special Angles

4.3 Law of Sines

4.4 Law of Cosines

4.5 Solving General Triangles (Ambiguous Case)

Math 20-1 Chapter 5 – Factoring Polynomials

7 Topics | 9 Exercises / Quizzes

5.1 Review of Factoring in General

5.2 Factoring ax2 + bx + c, a≠0

5.3 Factoring a2x2 – b2y2, a≠0, b≠0

5.4 Factoring a[f(x)] 2 + b(f(x)) + c, a ≠ 0

5.5 Factoring a2[f(x)] 2 – b2 [g(y)] 2; a ≠0, b≠0

5.6 Combination of Factoring

5.7 Factor Theorem

Math 20-1 Chapter 6 – Relations and Quadratic Functions

6 Topics | 8 Exercises / Quizzes

6.1 Review of Relations and Functions

6.2 Graphs of Quadratic Functions

6.3 Transformations of Quadratic Functions

6.4 Reciprocal Functions

6.5 Graphing the Absolute Value Function

6.6 Solving Absolute-Value Equations Algebraically and Graphically

Math 20-1 Chapter 7 – Applications with Quadratic Functions

4 Topics | 9 Exercises / Quizzes

7.1 Completing the Square

7.2 Maximum and Minimum Problems

7.3 Solving Quadratic Equations

7.4 The Discriminant

Math 20-1 Chapter 8 – Sequences and Series

5 Topics | 7 Exercises / Quizzes

8.1 Arithmetic Sequences

8.2 Arithmetic Series

8.3 Geometric Sequences

8.4 Geometric Series

8.5 Sums of Infinite Geometric Series

Math 20-1 Chapter 9 – Inequalities

5 Topics | 7 Exercises / Quizzes

9.1 Graphing Inequalities in One Variable in Two Dimensions

9.2 Graphing Inequalities in Two Variables

9.3 Graphing Systems of Linear and Quadratic Inequalities

9.4 Graphing Quadratic Inequalities in One Variable

9.5 Problems for Quadratic Inequalities

Math 20-1 Chapter 10 – Linear and Quadratic Systems

3 Topics | 5 Exercises / Quizzes

10.1 Linear-Quadratic Systems

10.2 Quadratic-Quadratic Systems

10.3 Problems for Systems

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