This document appears to be a collection of math and word problems along with their solutions. It includes sequences, equations, percentages, proportions, geometry problems (area of trapezoid), word problems involving money, and a brief definition of "resting & recharging".

1. 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Good Ol’ Sequences Gotta-Love Those Equations Order of Operations Equations And Stories All Kinds of Questions

2. 15, 11, 7, 3, ___ a. Fill in the next term. b. What kind of sequence?

3. What is –1? b. What is arithmetic sequence?

4. The type of sequence represented by: 1, 3, 9, 27, 81…

5. What is geometric sequence?

6. Arithmetic sequences have a common difference. Goemetric sequences have this.

7. What is “common ratio”?

8. The rule behind Binary Sequence b. The first 6 terms of the Binary Sequence

9. What is multiplying the previous term by 2? b. 1, 2, 4, 8, 16, 32

10. The first 6 terms of the Fibonacci Sequence b. The rule behind the Fibonacci Sequence

11. What is 1, 1, 2, 3, 5, 8? b. What is: “the next term is the sum of the current and last term?”

12. Solve: 4 / 5 x = 8

13. What is x = 10 ?

14. Solve: -3(2n + 1) = 21

15. What is n = -4?

16. 2a + 6 = 9 8 4

17. What is a = 6?

18. 1 / 3 (m + 17) = 3m + 3

19. What is m = 1?

20. Solve for n : 2 - n + 3x = 10 p

21. What is -10 p + 2 + 3x?

22. 125 ÷ 5 2 – (8 + 3 ∙ 2)

23. What is –9?

24. 5x 2 – 2x + 11 if x = 7

25. What is 242?

26. c 2 – 8c – 1 if c = –6

27. What is 83?

28. The correct order of operations for 18 ÷ 2(10 – 7) + 15 A. Sub., Mult. Add. Divide B. Mult. Divide, Add. Sub. C. Sub., Divide, Add, Mult. D. Sub., Divide, Mult., Add

29. What is D?

30. 2 / 3 x 4 – 11 if x = 9.

31. What is 4,363 ?

32. 32% of the SLA population has allergies. If there are 40 of allergy sufferers at SLA, how many people are in SLA?

33. What is 125?

34. Write as an equation: Tommy (t) has $40 more than triple of his friend Erik’s money (e)

35. What is t = 3e + 40?

36. Write as equation : If she quadruples her income (j) and get her $5,000 bonus, Joanna will earn $66,000 a year

37. What is: 4j + 5000 = 66,000?

38. Write a story for: 14 - 2x = 5

39. Answer varies

40. Write and solve the equation $7 less than half Mina’s allowance ( a ) is a third of her allowance

41. What is: 1 / 2 a - 7 = 1 / 3 a a = 42

42. Use Commutative Property to write and equivalent expression for : -a + 3b + 19

43. What is 3b + (-a) + 19 or 19 + (-a) + 3b

44. A rectangle is 5 cm more than twice its width. The perimeter (sum of both pairs of lengths and widths) of the rectangle is 34 cm. Find the dimensions of the rectangle.

45. What is l = 13 and w = 4?

46. The area of a trapezoid is 160 in 2 . The shorter base (b 1 ) is 20 in and the height (h) is 4. Find the length of the longer base (b 2 ). Use the formula: A = 1 / 2 h(b 1 +b 2 )

47. What is 60?

48. Solve the proportion: x + 2 = -1 8 4

49. What is x = -4?

50. You Must Do This Over The Holidays

51. What Are “Resting & Recharging?”