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0. Review of Algebra(0)

Algebraic Expressions
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Exponents
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Polynomials Intro
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Multiplying Polynomials
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Factoring Polynomials
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Radical Expressions
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Simplifying Radical Expressions
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Rationalize Denominator
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Rational Exponents
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1. Equations & Inequalities(0)

Linear Equations
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Rational Equations
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The Imaginary Unit
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Powers of i
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Complex Numbers
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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
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2. Graphs of Equations(0)

Graphs and Coordinates
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Two-Variable Equations
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Lines
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3. Functions(0)

Intro to Functions & Their Graphs
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Common Functions
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Transformations
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Function Operations
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Function Composition
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4. Polynomial Functions(0)

Quadratic Functions
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Understanding Polynomial Functions
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Graphing Polynomial Functions
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Dividing Polynomials
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Zeros of Polynomial Functions
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5. Rational Functions(0)

Introduction to Rational Functions
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Asymptotes
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Graphing Rational Functions
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6. Exponential & 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
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Solving Exponential and Logarithmic Equations
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7. Systems of Equations & 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
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8. Conic Sections(0)

Introduction to Conic Sections
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Circles
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Ellipses: Standard Form
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Hyperbolas at the Origin
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1. Equations & Inequalities

The Quadratic Formula

1. Equations & Inequalities

The Quadratic Formula: 동영상 및 연습문제

비디오 강의 실무 워크시트

88 문제점

연습하고 싶은 문제 유형:

문제 1객관식

Perform completing the square to solve the following equation: 3x² - 8x + 4 = 0

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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: x² - 4x = 2

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문제 5객관식

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

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문제 6객관식

Solve the following equation by using your preferred method: 8x² - 3 = 10x

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문제 7객관식

Solve the following equation by using your preferred method: 4x² - 2x = 6

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문제 8객관식

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

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문제 9객관식

Use any method to solve the given equation.
√5x² -2x -3√5 = 0

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문제 10객관식

Use any method to solve the given equation.
1/(x² -8x +15) = 1/(x -5) - 5/(x² -25)

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문제 11객관식

When the difference between a number and 12 is doubled and added to the square of that number, it results in zero. What is this number?

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문제 12객관식

Enlist all values of x that will make the given expression undefined. 5/(x² -7x +6)

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문제 13객관식

Consider the following equations and solve for all values of x that will satisfy them. z₁ = x, z₂ = -6/x and z₁ + z₂ = -1

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문제 14객관식

Consider the following equations and solve for all values of x that will satisfy them. t₁ = x - 3, t₂ = x -1, t₁t₂ +1 = 0

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문제 15객관식

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 16객관식

For the following equation, calculate the discriminant, as well as the number and type of solutions

4x² - 28x + 49 = 0

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문제 17객관식

For the following equation, calculate the discriminant, as well as the number and type of solutions.

x² - 11x - 12 = 0

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문제 18객관식

By using the quadratic formula, solve the following equation.

x² - 16x + 73 = 0

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문제 19객관식

By using the quadratic formula, solve the following equation.

2x² - x - 11 = 0

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문제 20객관식

By using the quadratic formula, solve the following equation.

x² + 11x + 1 = 0

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문제 21객관식

By using the quadratic formula, solve the following equation.

x² + 20x + 96 = 0

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문제 22객관식

By completing the square, solve the following equation.

4x² - 23x + 15 = 0

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문제 23객관식

Use any method to solve the given equation. x/(x -4) +4/(x +4) = -23/(x² -16)

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문제 24객관식

Use any method to solve the given equation. 1/2x + 1/(x -4) = 1/2

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문제 25객관식

By completing the square, solve the following equation.

x² - 11x + 1 = 0

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문제 26객관식

By completing the square, solve the following equation.

x² - 16x + 63 = 0

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문제 27객관식

By completing the square, solve the following equation.

x² - 2x - 23 = 0

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문제 28객관식

By completing the square, solve the following equation.

x² - 20x = 7

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문제 29객관식

By completing the square, solve the following equation.

x² + 12x = 13

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문제 30객관식

For the following equation, complete the square:

x² - (8/7)x

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Completing the Square 연습문제 Choosing a Method to Solve Quadratics 연습문제

The Quadratic Formula: 동영상 및 연습문제

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