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4. Add and Subtract Polynomials Exponent Rules Scientific Notation Area 100 200 300 400 500 Final Jeopardy Jeopardy Board

5. BoardAnswer Add and Subtract Polynomials - 100 (2x 2 + 5x) + (7x 2 + 3x + 11)

6. Board Add and Subtract Polynomials - 100 (2x 2 + 5x) + (7x 2 + 3x + 11) Since you are adding the two polynomials the parentheses mean nothing 2x 2 + 5x + 7x 2 + 3x + 11 Combine like terms 9x 2 + 8x + 11

7. BoardAnswer Add and Subtract Polynomials - 200 (x 2 + 8x – 11) + (x 3 + 3x 2 + 11)

8. Board Add and Subtract Polynomials - 200 (x 2 + 8x – 11) + (x 3 + 3x 2 + 11) Since you are adding the two polynomials the parentheses mean nothing x 2 + 8x – 11 + x 3 + 3x 2 + 11 Combine like terms x3x3 + 4x 2 + 8x + 0 x 3 + 4x 2 + 8x

9. BoardAnswer Add and Subtract Polynomials - 300 (2x 2 – 5x 3 ) – (7x 3 – 2x 2 + 11)

10. Board Add and Subtract Polynomials - 300 (2x 2 – 5x 3 ) – (7x 3 – 2x 2 + 11) Since you are subtracting the two polynomials the parentheses are very important 2x 2 – 5x 3 – 7x 3 + 2x 2 – 11 Combine like terms -12x 3 + 4x 2 – 11 These signs must change

11. BoardAnswer Add and Subtract Polynomials - 400 3(9x 2 – 5x) – (x 3 – 2x 2 + x – 4)

12. Board Add and Subtract Polynomials - 400 3(9x 2 – 5x) – (x 3 – 2x 2 + x – 4) Since you are subtracting the two polynomials and multiplying the first by 3, the parentheses are very important 27x 2 – 15x – x 3 + 2x 2 – x + 4 Combine like terms -x 3 + 29x 2 – 16x These signs must changeDistribute the 3 + 4

13. BoardAnswer Add and Subtract Polynomials - 500 (x + 3) + (7x 2 – 5x) – (3x 3 – x 2 – 4x – 6)

14. Board Add and Subtract Polynomials - 500 (x + 3) + (7x 2 – 5x) – (3x 3 – x 2 – 4x – 6) Since you are adding the first two polynomials the parentheses mean nothing. x + 3 + 7x 2 – 5x Combine like terms -3x 3 + 8x 2 + 0x These signs must change + 9 However, you are subtracting the third so the parentheses are very important – 3x 3 + x 2 + 4x + 6 -3x 3 + 8x 2 + 9

15. BoardAnswer Exponent Rules - 100 (x 3 )(x 2 )

16. Board Exponent Rules - 100 (x 3 )(x 2 ) x 3 = x  x  x x 2 = x  x (x 3 )(x 2 ) = x  x  x  x  x = x5x5

17. BoardAnswer Exponent Rules - 200 (5x 5 )(7x 7 )

18. Board Exponent Rules - 200 (5x 5 )(7x 7 ) 5x 5 = 5  x  x  x  x  x 7x 7 = 7  x  x  x  x  x  x  x (5x 5 )(7x 7 ) = 5  x  x  x  x  x  7  x  x  x  x  x  x  x = 35x 12

19. BoardAnswer Exponent Rules - 300

20. Board Exponent Rules - 300 1 2

21. BoardAnswer Exponent Rules - 400

22. Board Exponent Rules - 400 Option 1Option 2

23. BoardAnswer Exponent Rules - 500

24. Board Exponent Rules - 500

25. BoardAnswer Scientific Notation - 100 Rewrite in scientific notation 23,000,000

26. Board Scientific Notation - 100 Rewrite in scientific notation 23,000,000 23 000 000 The decimal is at the end of a whole number  In scientific notation the decimal goes after the first digit.  You need to know how many place values you have to move the decimal = 2.3 x 10 7

27. BoardAnswer Scientific Notation - 200 Rewrite in scientific notation 0.000345

28. Board Scientific Notation - 200 Rewrite in scientific notation 0.000345 You can see where the decimal is In scientific notation the decimal goes after the first digit.  You need to know how many place values you have to move the decimal = 3.45 x 10 -4

29. BoardAnswer Scientific Notation - 300 Rewrite in standard form 8.76 x 10 4

30. Board Scientific Notation - 300 Rewrite in standard form 8.76 x 10 4 8.76 Move the decimal 4 places Add two zeros 00= 87,600 

31. BoardAnswer Scientific Notation - 400 Rewrite in standard form 2.0406 x 10 -5

32. Board Scientific Notation - 400 Rewrite in standard form 2.0406 x 10 -5 2.0406 Move the decimal 5 places Add four zeros = 0.000020406  0 0 0 0

33. BoardAnswer Scientific Notation - 500 Multiply, write in scientific notation (2.6 x 10 5 ) (3.1 x 10 6 )

34. Board Scientific Notation - 500 Multiply, write in scientific notation (2.6 x 10 5 ) (3.1 x 10 6 ) Multiply the numbers and add the exponents (2.6 x 10 5 ) (3.1 x 10 6 ) = 8.06 x 10 11

35. BoardAnswer Area - 100 What is the product when you multiply 4x 3 y 2 and 3x 4 y

36. Board Area - 100 What is the product when you multiply 4x 3 y 2 and 3x 4 y 4x 3 y 2 = 4  x  x  x  y  y 3x 4 y = 3  x  x  x  x  y 4x 3 y 2  3x 4 y = 4  x  x  x  y  y  3  x  x  x  x  y 12x 7 y 3

37. BoardAnswer Area - 200 Find the area of the rectangle 5x 3 7x 4

38. Board Area - 200 Find the area of the rectangle 5x 3 7x 4 A = L  W A = 7x 4  5x 3 A = 35x 7 A = 7xxxx  5xxx

39. BoardAnswer Area - 300 Find the area of the triangle 6x 3 3x 2 y 5

40. Board Area - 300 Find the area of the triangle 6x 3 3x 2 y 5

41. BoardAnswer Area - 400 Find the length of the rectangle Area = 24x 6 3x 4 L

42. Board Area - 400 Find the length of the rectangle Area = 24x 6 3x 4 L Fill in the blank 3x 4  = 24x 6 8x 2 = 8x 2

43. BoardAnswer Area - 500 Find the base of the triangle 6x A = 3x 2 y 5 b

44. Board Area - 500 Find the base of the triangle 6x A = 3x 2 y 5 b Fill in the blank xy 5

45. Final Jeopardy Category Board

46. Final Jeopardy Question Answer Find the area of the rectangle 5x 2 Perimeter is 40x 2

47. Final Jeopardy Question Find the area of the rectangle 5x 2 Perimeter is 40x 2 If the perimeter is 40x 2, what is the length? 5x 2 5x 2 + 5x 2 = 10x 2 So the other 2 sides add up to 30x 2 15x 2 Area = length times width Area = 15x 2  5x 2 Area = 75x 4