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# May 2, 2014

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### May 2, 2014

1. 1.  Review Quadratics for test re-take †Tuesday†.  Simplifying Radicals  Class/Home Work Today: TGIF May 2, 2014 2nd Period
2. 2. Quadratic Formula Test Results
3. 3. Five Most Missed Questions from Quadratic Formula Test What are the roots of xx 48 2 1 2 35% correct
4. 4. Five Most Missed Questions from Quadratic Formula Test34% correct 7x2 - x – 13 = -10 7x2 - x – 3 = 0 Use the quadratic formula
5. 5. 33% correct Solve 3x2 – 13 = 47. Round your solution to the nearest hundredth. A. + 3.37 B. + 37.89 C. + 13.21 D. + 4.47 E. None 3x2 = 60 x2 = 20 D Solve (3x – 17)2 = 28 31% correct 3x – 17 = 3x = 17 + (factor out any perfect squares) 3x = 17 + 2 (divide by three)
6. 6. 30% correctFinal Problem:2p2 + 3p – 9 = 0
7. 7. Quadratic Formula Review Solve: This equation is easily solved by factoring: (x – 5)(x – 1) The solutions therefore, are x = 1 and x = 5
8. 8. Quadratic Formula Review Solve by rounding to the nearest hundredth:
9. 9. Class Notes Section of Notebook
10. 10. Square Roots… Which leads us to…
11. 11. Simplifying Radicals Notice that these properties can be used to combine quantities under the radical symbol or separate them for the purpose of simplifying square-root expressions. Separate Combine A square-root expression is in simplest form when the radicand has no perfect- square factors (except 1) and there are no radicals in the denominator.
12. 12. Simplify each expression. Product Property of Square Roots A. Product Property of Square Roots B. Simplifying Radicals
13. 13. Simplify each expression. Quotient Property of Square Roots D. Quotient Property of Square Roots C. Solve ‘D’ above with the numerator and denominator as separate radicals. Simplify numerator first
14. 14. Simplify each expression. A. B. Find a perfect square factor of 48.Product Property of Square Roots Quotient Property of Square Roots Simplif y. Simplifying Radicals
15. 15. Simplify each expression. C. D. Product Property of Square Roots Quotient Property of Square Roots Simplifying Radicals
16. 16. Simplifying Radicals w/Variables x6y7z3 =Easy x3y3z yzx•x •x•x •x •x •y •y •y •y •y •y •y •z •z •z = Describe the process in one word: Practice:
17. 17. If a fraction has 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. Rationalizing the Denominator
18. 18. Simplify the expression. Multiply by a form of 1. Rationalizing the Denominator
19. 19. Simplify by rationalizing the denominator. Multiply by a form of 1. So far, all of our denominators have been monomials. Monday we will rationalize binomial denominators.