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1. Review of Real Numbers(0)

Simplifying Fractions
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Evaluating Exponents
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Evaluating Expressions
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Translating Phrases to Expressions
(0)

Translating Sentences to Equations
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The Distributive Property
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Simplifying Expressions
(0)

2. Linear Equations and Inequalities(0)

The Addition and Subtraction Properties of Equality
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The Multiplication and Division Properties of Equality
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Solving Linear Equations
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Linear Inequalities in One Variable
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3. Solving Word Problems(0)

Introduction to Problem Solving
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Formulas
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Percent Problem Solving
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Mixture Problem Solving
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4. Graphing Linear Equations in Two Variables(0)

The Rectangular Coordinate System
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Graph Linear Equations in Two Variables
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Graph Linear Equations Using Intercepts
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Slope of a Line
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Slope-Intercept Form
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Point Slope Form
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5. Systems of Linear Equations(0)

Solving Systems of Linear Equations by Graphing
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Solving Systems of Linear Equations by Substitution
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Solving Systems of Linear Equations by Elimination
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6. Exponents and Polynomials(0)

The Product Rule
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The Quotient Rule
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Intro to the Power Rules
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The Power of a Quotient Rule
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Negative Exponents
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Simplifying Exponential Expressions Using All Exponent Rules
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Intro to Polynomials
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Adding and Subtracting Polynomials
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Multiplying Polynomials
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Special Products
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7. Factoring(0)

Factoring by Greatest Common Factor & Grouping
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Factoring Trinomials of the Form x² + bx + c
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Factoring Trinomials of the Form ax² + bx + c
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Factoring Special Products
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Quadratic Equations & Applications
(0)

8. Rational Expressions and Equations(0)

Simplifying Rational Expressions
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Multiplying and Dividing Rational Expressions
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Adding and Subtracting Rational Expressions with Common Denominators
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Least Common Denominators
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Adding and Subtracting Rational Expressions with Different Denominators
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Rational Equations
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9. Inequalities and Absolute Value(0)

Set Operations and Compound Inequalities
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Absolute Value Equations
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Absolute Value Inequalities
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Linear Inequalities in Two Variables
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Systems of Linear Inequalities
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10. Relations and Functions(0)

Introduction to Relations and Functions
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Function Notation
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Graphing Common Functions
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Composition of Functions
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Direct & Inverse Variation
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11. Roots, Radicals, and Complex Numbers(0)

Introduction to Radical Expressions
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Simplifying Radical Expressions
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Adding and Subtracting Radicals
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Multiplying, Dividing, and Rationalizing Radicals
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Introduction to Complex Numbers
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Multiplying and Dividing Complex Numbers
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12. Quadratic Equations and Functions(0)

The Square Root Property
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Completing the Square
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The Quadratic Formula
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Graphing Quadratic Equations
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13. Inverse, Exponential, & Logarithmic Functions(0)

Introduction to Inverse Functions
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Exponential Functions
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Introduction to Logarithmic Functions
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Properties of Logarithms
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14. Conic Sections & Systems of Nonlinear Equations(0)

Graphing Circles
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Ellipses
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Parabolas
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Hyperbolas
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15. Sequences, Series, and the Binomial Theorem(0)

Introduction to Sequences
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Arithmetic Sequences
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Geometric Sequences
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Factorials
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7. Factoring

Quadratic Equations & Applications

7. Factoring

Quadratic Equations & Applications: 동영상 및 연습문제

비디오 강의 실무 워크시트

23 문제점

문제 1객관식

Identify the coefficients $a$ , $b$ , and $c$ in the quadratic equation $3 x^{2} - 4 x + 7 = 0$ , given the standard form $a x^{2} + b x + c = 0$ .

문제 2객관식

Write the equation $5 x^{2} - 3 = 2 x$ in standard quadratic form $a x^{2} + b x + c = 0$ .

문제 3객관식

Factor the trinomial $x^{2} - 7 x + 12$ completely.

문제 4객관식

Solve $(x + 2) (3 x - 9) = 0$ by applying the zero-product property.

문제 5객관식

Do the values $x = - 1$ and $x = - 5$ satisfy $x^{2} + 6 x + 5 = 0$ ? Choose the best answer.

문제 6객관식

A rectangle has an area of 12 square meters, and a width that is 1 meter more than the length. Let length = L and the width = L + 1. Which numerical values represent the length and width of this rectangle?

문제 7객관식

Expand and write in standard form the equation $(x + 3) (x - 7) = 0$ .

문제 8객관식

Factor the expression: $6 x^{2} + 11 x - 35$ completely by using the grouping method or a trial-and-error approach when necessary.

문제 9객관식

Two integers differ by $4$ and their product is $45$ . Using a variable and a quadratic equation, find those integers.

문제 10객관식

Solve $4 x^{2} - 4 x = 0$ by factoring and applying the zero-product property.

문제 11객관식

Determine whether $x equals 1$ and $x equals 3$ are solutions to $2 x^{2} - 8 x + 6 = 0$ by substitution.

문제 12객관식

A ball's height (in units of meters) after $t$ seconds is modeled by: $h (t) = - t^{2} + 5 t + 6$ . Find the time(s) when the ball is located at ground level where $h equals 0$ .

문제 13객관식

A rectangular garden has an area of $72$ square meters. The width is $6$ meters less than the length. Determine the length and width.

문제 14객관식

Use the quadratic formula to solve for: $(x + 2) (x + 5) - 14 = 0$ .

문제 15객관식

Find two consecutive positive even integers whose squares sum to $340$ .

문제 16객관식

Which of the following equations is NOT a quadratic equation?

문제 17객관식

Which sequence of steps correctly solves a quadratic expression by factoring and uses the correct mathematical methods?

문제 18객관식

A rectangular planter's length is three times its width. Its area is $192$ square meters. Find the width and length.

문제 19객관식

Factor the perfect square trinomial $x^{2} + 6 x + 9$ completely.

문제 20객관식

A rectangular playground has an area equal to three times the square of its width. If the length is $9$ meters greater than the width, find the width and length.

문제 21객관식

Solve $2 x^{2} + x - 6 = 0$ by factoring.

문제 22객관식

If a quadratic model for the side length of a physical object returns roots $x equals 0$ and $x equals 7$ , which statement best describes which roots to accept?