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Complex Numbers, Quadratics and Rational Expressions

Complex Numbers, Quadratics and Rational Expressions. Mathketball Review Team Test tomorrow – Friday March 7, 2014. Homework. Quiz questions. Any questions from the quiz you got back yesterday??. Materials. Each team needs a white board and a piece of paper.

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Complex Numbers, Quadratics and Rational Expressions

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  1. Complex Numbers, Quadratics and Rational Expressions Mathketball Review Team Test tomorrow – Friday March 7, 2014

  2. Homework

  3. Quiz questions • Any questions from the quiz you got back yesterday??

  4. Materials • Each team needs a white board and a piece of paper. • If your color comes up – you do the problem on the white board and come up to me to shoot. • EVERYONE else in the team needs to do the problem on their paper • Winning team gets a treat tomorrow 

  5. #1 – Simplifying Complex Numbers (a+bi form) • Simplify the following Complex Expressions – leave answers in a+bi form

  6. Solution #1 -43

  7. #2 – Simplify Complex Fractions (a+bi form) • Make sure to multiply by the denominator BUT change the sign

  8. Solution #2

  9. #3- Solving a Quadratic (using square roots) • Solve the following quadratic equations • It is helpful to square root both sides INSTEAD of multiplying first in some cases (like this )

  10. Solution #3

  11. #4 – Solving with radicals • Solve by squaring both sides. Please check your solutions in the original equation to make sure they work. • Do BOTH solutions work???

  12. Solution #4

  13. #5 – Completing the Square to Solve • Solve the following quadratic by completing the square – the goal is to get the equation in and then take the sq. root of both sides.

  14. Solution #5

  15. #6 – Powers of i Simplify the following expressions to a+bi form by using the powers of i.

  16. Solution #6

  17. #7 – Multiplying Rational Expressions Multiply and then simplify the following rational expression. You may want to factor first.

  18. Solution #7

  19. #8 – Adding/Subtracting Rational Expressions • Add and subtract the following expressions • Find the LCD (least common denominator 1st)

  20. Solution #8

  21. #9 – Simplifying Rational Expressions • Anyone can shoot for this problem. • DOUBLE points!

  22. Solution #9

  23. Homework • Study ALL your quizzes and yellow packets from this unit. • The test will include: • Simplifying Complex Expressions • Solving Quadratics • Multiplying/Dividing , Adding/Subtracting Rational Expressions • TEAM TEST TOMORROW!!!

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