3. $100 $200 $300 $400 $500 $200 $300 $400 $500 Multi-Step Equations Percent of Change Pythagorean Theorem Proportions Square Roots

4. Multi-Step Equations for $100 Solve the equation shown below: 3x = x/3

5. Answer 3x = x/3 9x = x 8x = 0 x = 0 Back

6. Multi-Step Equations for $200 Solve the equation shown below: 7 + 2(3 + C) = 2(3 + 7) + C

7. Answer 7 + 2(3 + C) = 2(3 + 7) + C 7 + 6 + 2C = 6 + 14 + C 13 + 2C = 20 + C 2C = 7 + C C = 7 Back

8. Multi-Step Equations for $300 Solve the equation shown below: 7d + 2d – 5d – 2 = 4d + 3

9. Answer 7d + 2d – 5d – 2 = 4d + 3 9d – 5d – 2 = 4d + 3 4d – 2 = 4d + 3 - 2 ≠ 3 NO SOLUTION Back

10. Multi-Step Equations for $400 Solve the following equation: 11-(2x + 3) = -2x – 8 + 16

11. Answer 11-(2x + 3) = -2x – 8 + 16 11-2x – 3 = -2x + 8 8 – 2x = -2x + 8 -2x = -2x x = x IDENTITY Back

12. Multi-Step Equations for $500 Solve the Equation; Justify each step 4p – 4 = 2(p+3) – 6(9-p)

13. Answer 4p – 4 = 2(p+3) – 6(9-p) =>Given 4p – 4 = 2p + 6 – 54 + 6p => Distributive Property 4p – 4 = 2p + 6p + 6 – 54 => Commutative Property 4p – 4 = 8p – 48 => Combine like terms -4 = 4p – 48 => Subtraction property of Equality 44 = 4p => Addition property of Equality p = 11 => Division property of Equality Back

14. Percent of Change for $100 What is the percent change on a pair of shoes that originally cost $45, but are on sale for $36?

15. Answer (Original – New) / Original * 100 ($45 - $36)/ $45 * 100 =($9)/$45 * 100 =.20 * 100 = 20% decrease Back

16. Percent of Change for $200 After buying a car for $12,500 a dealer sells the car for $15,750. What is the percent change in the price of the car?

17. Answer (Original – New) / Original * 100 (12,500 – 15,750)/ 12,500 *100 = (-3250)/12500 * 100 = -0.26 * 100 = -26% = 26% Increase Back

18. Percent of Change for $300 A horse is running 10m/s. How many km/hr is he running?

19. Answer 10m/s * 60s/1min * 60min/1hr * 1km/1000m = 36,000km/1000hr = 36km/hr Back

20. Percent of Change for $400 What is the percent error in each of the following: a)12.5cm b)16ft

21. Answer Back A).1/2 =.05cm.05/12.5 =.004 = 0.4% B) ½ = 0.5 ft 0.5/16 =.031 = 3.1%

22. Percent of Change for $500 Find the minimum and maximum area for the following rectangle 10ft 6 ft

23. Answer Back LengthWidthA =Length * Width Measured10ft6ft10ft * 6ft = 60ft 2 Minimum9.5ft5.5ft9.5ft * 5.5ft = 52.25ft 2 Maximum10.5ft6.5ft10.5ft *6.5ft = 68.25ft 2 Error: 1ft/ 2 = +/- 0.5 ft

24. Proportions for $100 Solve for x: 5/8 = x/20

25. Answer 5/8 = x/20 8x = 100 x = 12.5 Back

26. Proportions for $200 Solve for x: (X-7)/5 = 6/15

27. Answer (X-7)/5 = 6/15 5*6 = 15(x-7) 30 = 15x – 105 135 = 15x 9 = x Back

28. Proportions for $300 Solve for x: 5/(x-3) = 12/(x+3)

29. Answer 5/(x-3) = 12/(x+3) 5(x+3) = 12(x-3) 5x + 15 = 12x – 36 15 = 7x – 36 51 = 7x 7.29 = x Back

30. Proportions for $400 Given that the triangles below are similar, solve for x and y 10m 14m Y 6m 10m X

31. Answer Set up two proportions: 1)6m/10m = X/14 10x = 84 x = 8.4m 2) 6m/10m = 10/y 100 = 6y 16.67 = y Back

32. Proportions for $500 Find the height of the tree given that the boy is 4 feet tall 2.5 ft 10 ft

33. Answer Set up a proportion: 2.5ft/10ft = 4/x Cross Multiply 40 =2.5x X = 16 ft tall Back

34. Square Roots for $100 What are the root(s) of 144?

35. Answer +12, -12 Back

36. Square Roots for $200 Identify the radicand in the following expression: √((x-y) + 5)

37. Answer The radicand is the term under the radical, so the randicand is (x-y) + 5 Back

38. Square Roots for $300 Without using a calculator, simply the following expression: √(36/9)

39. Answer √(36/9) = √(36)/√(9) = 6/3 = 2 Back

40. Square Roots for $400 Between which two consecutive integers is √(112)?

41. Answer 10 and 11 Back

42. Square Roots for $500 Find the Area of the following figure: √(81) √(1/9)

43. Answer A = (1/2)B*h A = (1/2)(√(81))(√(1/9)) A = (1/2)(9)(1/3) A = (1/2)*3 A = 3/2u 2 Back

44. Pythagorean Theorem for $100 Determine whether or not the following triangle side lengths form a right triangle: 12, 13, 17

45. Answer A 2 + B 2 = C 2 12 2 + 13 2 = 17 2 144 + 169 = 289 313 ≠ 289 NOT a right triangle Back

46. Pythagorean Theorem for $200 Solve for the missing side of the right triangle: A = ?, B = 6, C = 10

47. Answer A 2 + B 2 = C 2 A 2 + 6 2 = 10 2 A 2 + 36 = 100 A 2 = 64 A = 8 Back

48. Pythagorean Theorem for $300 Classify the following triangle as acute, obtuse, or right: A = 6, B = 9, C = 16

49. Answer A + B < C 6 + 9 < 16 15 <16 Does not form a triangle Back

50. Pythagorean Theorem for $400 Solve the right triangle for A = 9, C = 15

51. Answer A 2 + B 2 = C 2 9 2 + B 2 = 15 2 81 + B 2 = 225 B 2 = 144 B = 12 Back

52. Pythagorean Theorem for $500 A plane flies due north at 225mph but gets blown due east by a 45mph wind. How fast is the plane traveling?

53. Answer Back 225mph 45mph C A 2 + B 2 = C 2 225 2 + 45 2 = C 2 50,625 + 2025 = C 2 52,650 = C 2 229.5mph = C

54. Final Jeapordy Solve for all the variables 3x 1/y (z-2)+9 7a 4/b 3/c n-9 g+2 3d-4 = 9 1/5 18 35 2 9 11 3.5 8

55. Final Jeapordy Answer 3 5 11 5 2 1/3 20 1.5 4