Intermediate Algebra – Student Workbook – Second Edition 2013

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

Lesson 6b - Rational Exponents and Radical Functions Mini-Lesson Problem 13 WORKED EXAMPLE – SOLVE RADICAL EQUATIONS – MORE ADVANCED Solve the equation algebraically and check graphically: result! x + 6 = x. Be sure to check your final Since the radical is isolated, square both sides to remove the square root. Then, isolate x. x 2 x 6 x x 6 2 x x 6 x 0 x x 6 0 2 2 2 x 6 What we now have is a quadratic equation that we can solve using the methods of Lesson 5. The easiest and fastest way to work with this problem is through factoring. You can also use the Quadratic Formula or graphing. 2 x x 6 0 CHECK: ( x 2)( x 3) 0 x 2 0 or x 3 0 x 2 or x 3 When x = -2 2 6 2? 4 2? 2 2 x = -2 does not check so is not a solution. When x = 3 3 6 3? 9 3? 3 3 x = 3 checks so is a solution. Graphical Check: y1= x + 6, y2 = x Window: Standard (Zoom:6) Using the Intersection Method, we obtain a verified solution of x = 3. Scottsdale Community College Page 274 Intermediate Algebra
Name: _____________________ Date: ________________ Lesson 6b Practice Problems 1. Complete the table below. Each expression should be written in radical notation, written with rational exponents and evaluated using the calculator. The first one is done for you. Written in radical notation Written using rational exponents Evaluated using the calculator (Rounded to two decimal places) √ ⁄ 9^(2/3) = 4.33 √ √ √ √( ) ⁄ ⁄ ⁄ ( ) ⁄ 2. Solve the following Rational and Radical Roots by hand. Check using your calculator a) 81 = b) 5 32 = c) 13 ( 64) = d) 32 49 = e) 4 ( 4) 2 = f) ⁄ Scottsdale Community College Page 275 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 4b - More on Logarithms This
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Intermediate Algebra – Student Workbook – Second Edition 2013

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