Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 5b Checklist Component Required? Y or N Comments Due Score Mini-Lesson Online Homework Online Quiz Online Test Practice Problems Lesson Assessment Scottsdale Community College Page 208 Intermediate Algebra
Name: _____________________ Date: ________________ Mini-Lesson 5b Number and Types of Solutions to Quadratic Equations in Standard Form There are three possible cases for the number of solutions to a quadratic equation in standard form. Note that Standard Form just means the equation is set = 0 (see next page for more formal definition). CASE 1: Parabola: Touches the x-axis in just one location (i.e. only the vertex touches the x-axis) One, repeated, real number solution Example: (x - 2) 2 = 0 CASE 2: Parabola: Crosses the x-axis in two unique locations. Two, unique, real number solutions Example: x 2 – 4x – 5 = 0 CASE 3: Parabola: Does NOT cross the x-axis No real number solutions but two, complex number solutions (explained later in the lesson) Example: 2x 2 + x + 1 = 0 REMINDER: A QUADRATIC FUNCTION is a function of the form f(x) = ax 2 +bx+c A QUADRATIC EQUATION in STANDARD FORM is an equation of the form ax 2 +bx+c = 0 Scottsdale Community College Page 209 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 1b - Linear Equations In the
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Lesson 1b - Linear Equations Mini-L
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Lesson 1b - Linear Equations Practi
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Lesson 2a - Linear Functions and Ap
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Lesson 2b - Functions and Function
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Lesson 3a - Introduction to Exponen
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Lesson 3b - More Exponential Functi
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Lesson 4a - Introduction to Logarit
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Lesson 6b - Rational Exponents and
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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