May 1, 2015

May 1, 2015

• 1.
   Make UpTests?  Begin Review for Comprehensive Final Exam  Simplifying, Adding & Subtracting Radicals Today: TGIF, May 1, 2015
• 2.
  Warm-Up/Review: Find the actualdimensions of the rectangle: x + 5 x - 1A = 112 (x + 5) (x – 1) = 112 x2 + 4x - 5 = 112 x2 + 4x + 4 = 121 (x + 2) 2 = 121 x = 2 + 11 x = -13, x = 9 x2 + 4x = 117
• 3.
  Pencils down, mentalmath only. What is the resulting trinomial? Square, Double, Square 9m2 – 42mn + 49n2 Solve: 2x2 – 4 = 60 Warm-Up/Review:
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  At v6math:
• 5.
  Class Notes Sectionof Notebook On a new page, add the heading "Radicals"
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  Write the squareof each number from 1-15. These should be memorized What you have is a list of perfect squares from 1 - 225. Square Roots…
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  Square Roots… Which leadsus to…
• 8.
  Simplifying Radicals Notice thatthese properties can be used to combine quantities under the radical symbol or separate them for the purpose of simplifying square-root expressions. Separate Combine
• 9.
  Simplify each expression. ProductProperty of Square Roots A. Product Property of Square RootsB. Simplifying Radicals
• 10.
  Simplify each expression. QuotientProperty of Square RootsD. Quotient Property of Square RootsC. Now, Solve ‘D’ above with the numerator and denominator as separate radicals. Simplify numerator first Rationalize the denominator
• 11.
  Simplify each expression. A. B. Finda perfect square factor of 48. Product Property of Square Roots Quotient Property of Square Roots Simplify. Simplifying Radicals
• 12.
  Simplify each expression. C. D. ProductProperty of Square Roots Quotient Property of Square Roots Simplifying Radicals
• 13.
  If a fractionhas a denominator that is a square root, you can simplify it by rationalizing the denominator. To do this, multiply both the numerator and denominator by a number that produces a perfect square under the radical sign in the denominator. Multiply by a form of 1. Simplifying Radicals
• 14.
  Simplify the expression. Multiplyby a form of 1. Rationalizing the Denominator
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  Simplify by rationalizingthe denominator. Multiply by a form of 1.
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  Square roots thathave the same radicand are called like radical terms. To add or subtract square roots, first simplify each radical term and then combine like radical terms by adding or subtracting their coefficients. Adding & Subtracting Radicals
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  Add . Combine like radical terms. Adding& Subtracting Radicals
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  Subtract. Simplify radical terms. Combinelike radical terms. Simplify radical terms. Combine like radical terms. Adding & Subtracting Radicals
• 19.
  Application A stadium hasa square poster of a football player hung from the outside wall. The poster has an area of 12,544 ft2. What is the width of the poster? x2 = 12,544 The formula for area of a square? 112 feet wide 3
• 20.
  Class Work: 4.5 Showall work, submit before end of class 1. Simplify Simplify each expression. 2. 3. 4. 5. 6. 7. 8.