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0. Fundamental Concepts of Algebra(0)

Algebraic Expressions
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Exponents
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Polynomials Intro
(0)

Multiplying Polynomials
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Factoring Polynomials
(0)

Radical Expressions
(0)

Simplifying Radical Expressions
(0)

Rationalize Denominator
(0)

Rational Exponents
(0)

Pythagorean Theorem & Basics of Triangles
(0)

1. Equations and Inequalities(0)

Linear Equations
(0)

Rational Equations
(0)

The Imaginary Unit
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Powers of i
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Complex Numbers
(0)

Intro to Quadratic Equations
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The Square Root Property
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Completing the Square
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The Quadratic Formula
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Choosing a Method to Solve Quadratics
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Linear Inequalities
(0)

2. Graphs(0)

Graphs and Coordinates
(0)

Two-Variable Equations
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Lines
(0)

3. Functions & Graphs(0)

Intro to Functions & Their Graphs
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Common Functions
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Transformations
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Function Operations
(0)

Function Composition
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4. Polynomial Functions(0)

Quadratic Functions
(0)

Understanding Polynomial Functions
(0)

Graphing Polynomial Functions
(0)

5. Rational Functions(0)

Introduction to Rational Functions
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Asymptotes
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Graphing Rational Functions
(0)

6. Exponential and Logarithmic Functions(0)

Introduction to Exponential Functions
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Graphing Exponential Functions
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The Number e
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Introduction to Logarithms
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Graphing Logarithmic Functions
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Properties of Logarithms
(0)

Solving Exponential and Logarithmic Equations
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7. Measuring Angles(0)

Angles in Standard Position
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Coterminal Angles
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Complementary and Supplementary Angles
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Radians
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8. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
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Special Right Triangles
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Cofunctions of Complementary Angles
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Solving Right Triangles
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9. Unit Circle(0)

Defining the Unit Circle
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Trigonometric Functions on the Unit Circle
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Common Values of Sine, Cosine, & Tangent
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Reference Angles
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Reciprocal Trigonometric Functions on the Unit Circle
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10. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
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Phase Shifts
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Graphs of Secant and Cosecant Functions
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Graphs of Tangent and Cotangent Functions
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11. Inverse Trigonometric Functions and Basic Trig Equations(0)

Inverse Sine, Cosine, & Tangent
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Evaluate Composite Trig Functions
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Linear Trigonometric Equations
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12. Trigonometric Identities (0)

Introduction to Trigonometric Identities
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Sum and Difference Identities
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Double Angle Identities
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Solving Trigonometric Equations Using Identities
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13. Non-Right Triangles(0)

Law of Sines
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Law of Cosines
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Area of SAS & ASA Triangles
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14. Vectors(0)

Geometric Vectors
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Vectors in Component Form
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Direction of a Vector
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Unit Vectors and i & j Notation
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Dot Product
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Cross Product
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15. Polar Equations(0)

Polar Coordinate System
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Convert Points Between Polar and Rectangular Coordinates
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Convert Equations Between Polar and Rectangular Forms
(0)

Graphing Other Common Polar Equations
(0)

16. Parametric Equations(0)

Graphing Parametric Equations
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Eliminate the Parameter
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Writing Parametric Equations
(0)

17. Graphing Complex Numbers(0)

Graphing Complex Numbers
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Polar Form of Complex Numbers
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Products and Quotients of Complex Numbers
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Powers of Complex Numbers (DeMoivre's Theorem)
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18. Systems of Equations and Matrices(0)

Two Variable Systems of Linear Equations
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Introduction to Matrices
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Determinants and Cramer's Rule
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Graphing Systems of Inequalities
(0)

19. Conic Sections(0)

Introduction to Conic Sections
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Circles
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Ellipses: Standard Form
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Parabolas
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Hyperbolas at the Origin
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Hyperbolas NOT at the Origin
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20. Sequences, Series & Induction(0)

Sequences
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Arithmetic Sequences
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Geometric Sequences
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21. Combinatorics and Probability(0)

Factorials
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Combinatorics
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Probability
(0)

22. Limits & Continuity(0)

Introduction to Limits
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Finding Limits Algebraically
(0)

Continuity
(0)

23. Intro to Derivatives & Area Under the Curve(0)

Tangent Lines & Derivatives
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Limits at Infinity
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Limits of Sequences
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Area Under a Curve
(0)

1. Equations and Inequalities

Intro to Quadratic Equations

1. Equations and Inequalities

Intro to Quadratic Equations: 동영상 및 연습문제

비디오 강의 실무 워크시트

20 문제점

문제 1객관식

Consider the following equations and solve for all values of x that will satisfy them. y = 4x² - 4x and y = -1

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문제 2객관식

Identify the following function's graph by first solving for its x-intercepts and then matching it with the given graphs.

y = (x -3)² -9

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문제 3객관식

Solve the following equation by using your preferred method: (3x + 1)(x + 2) = 4

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문제 4객관식

Solve the following equation by using your preferred method: 5x² = 75

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문제 5객관식

For the given solution set {2, -1}, write a quadratic equation in a general form.

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문제 6객관식

By completing the square, solve the following equation.

x² - 20x = 7

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문제 7객관식

What is the standard form of a quadratic equation?

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문제 8객관식

In the quadratic equation 4x^2 - 3x + 5 = 0, what is the value of the coefficient b?

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문제 9객관식

Convert the equation 2x = 3x^2 - 5 into standard form.

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문제 10객관식

Solve the quadratic equation x^2 - 7x + 10 = 0 by factoring.

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문제 11객관식

Why can a quadratic equation have two solutions?

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문제 12객관식

Verify if x = 3 and x = -2 are solutions to the equation x^2 - x - 6 = 0.

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문제 13객관식

What does descending order of power mean in a quadratic equation?

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문제 14객관식

Why is it important to correctly identify the signs of coefficients in a quadratic equation?

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문제 15객관식

Solve the equation (x - 4)(x + 3) = 0 using the zero product property.

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문제 16객관식

Create a quadratic equation in standard form with roots 2 and -3.

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문제 17객관식

Analyze the equation 3x^2 - 6x + 2 = 0 and determine the significance of the coefficient a.

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문제 18객관식

Rearrange the equation x^2 = 4x + 5 into standard form.

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문제 19객관식

Evaluate the solutions of the equation x^2 - 8x + 15 = 0 by factoring.

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문제 20객관식

Construct a quadratic equation with roots -1 and 6.

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Complex Numbers 연습문제 The Square Root Property 연습문제

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