3. $100 $200 $300 $400 $500 $200 $300 $400 $500 Order of Operations & Expressions +, -, x, / Integers Coordinate Planes Patterns Vocabulary

4. Order of Operations and expressions for $100 What does PEMDAS stand for?

5. Answer Parenthesis Exponents Multiplication Division Addition Subtraction Back

6. Order of Operations and expressions for $200 Does Multiplication always come before Division? How are they solved?

7. Answer No, they are solved from left to right. Back

8. Order of Operations and expressions for $300 Write and expression to represent the following: Joe has 5 less than three times the number of pencils that Jean has.

9. Answer Let x = the number of pencils that Jean has, then the number that Joe has is: 3x - 5 Back

10. Order of Operations and expressions for $400 What is the difference between an expression and an equation?

11. Answer An expression does not have an equal sign, an equation does. Back

12. Order of Operations and expressions for $500 Use order of operations to simplify: 3*|-4 +2| - 5*(-3 + 1) + 3 2

13. Answer 3*|-4 +2| - 5*(-3 + 1) + 3 2 = 3*|-2| - 5*(-2) + 3 2 = 3*2 – 5*-2 + 9 = 6 - -10 + 9 = 6 + 10 + 9 = 25 Back

14. +, -, x, / Integers for $100 Simplify: (-6) – (-3)

15. Answer (-6) – (-3) = -6 + 3 = -3 Back

16. +, -, x, / Integers for $200 Simplify: (12) / (-3)

17. Answer (12) / (-3) = -4 Back

18. +, -, x, / Integers for $300 Simplify: (-7) * (4) / (-2)

19. Answer (-7) * (4) / (-2) = -28/-2 = 14 Back

20. +, -, x, / Integers for $400 Simplify: (-7 - 4) * (2 - -6)

21. Answer Back (-7 - 4) * (2 - -6) = -11 * 8 = -88

22. +, -, x, / Integers for $500 Simplify: (22)/ (-2) * (4) / (-11) + -5

23. Answer (22)/ (-2) * (4) / (-11) + -5 = -11*4/-11 + -5 = -44/-11 + -5 = 4 + -5 = -1 Back

24. Patterns for $100 What are the next two numbers in the following pattern? 2, -6, 18, -54…

25. Answer The pattern is multiply by -3 every time, so the next two numbers in the pattern are: -54*-3 = 162 and 162*-3 = -486 Back

26. Patterns for $200 Are answers found using inductive reasoning always correct? Why or why not?

27. Answer No, answers based on inductive reasoning are simply guesses based on perceived patterns. In actuality, there could be multiple correct patterns, or no pattern at all. Back

28. Patterns for $300 Write a rule for the following pattern: 3, 5, 8, 12, …

29. Answer Start with 3, then add 2. Add 3 the second time, 4 the 3 rd time, etc. In other words increase the number you are adding by one each time. Back

30. Patterns for $400 How many black triangles are going to be in the fifth (5 th ) picture?

31. Answer The pattern is multiply by three: 1 x 3 = 3 3 x 3 = 9 9 x 3 = 27 27 x 3 = 81 Back

32. Patterns for $500 The Fibonacci sequence was first published in 1202 by a man named Leonardo of Pisa. The first terms of the sequence are given below. Find the next three terms. 1, 1, 2, 3, 5, 8, 13, 21….

33. Answer The pattern is that the next number equals the sum of the two numbers that come directly before it. 1+1 = 2, 1+2 = 3, 3+3 = 5, etc. So, 13+21 = 34, 21+34 = 55, and 34 + 55 = 89 Back

34. Vocabulary for $100 Define the following word: Constant

35. Answer Constant- Any quantity or value that does NOT change Back

36. Vocabulary for $200 Define the following word: Expression

37. Answer Expression – A mathematical phrase that represents a quantity that may contain variables, numbers, and/or operators, but NO statement of equality. Back

38. Vocabulary for $300 Define the following word: Variable

39. Answer Variable – A quantity that can change or take on different values Back

40. Vocabulary for $400 Define the following word: Quadrants

41. Answer Quadrants – The four sections into which the x-y plane is divided by the x and y axes. Back

42. Vocabulary for $500 Define the following word: Origin

43. Answer Origin – The intersection of the x and y axis in a coordinate plane. Labeled as the point (0, 0) Back

44. Coordinate Planes for $100 Write the ordered pair for point B:

45. Answer (-2, -4) Back

46. Coordinate Planes for $200 Draw and label the quadrants on a coordinate plane.

47. Answer Back

48. Coordinate Planes for $300 Graph the points (-2, 4) and (3, -2) on a coordinate plane.

49. Answer Back

50. Coordinate Planes for $400 What information must be on every coordinate plane?

51. Answer 1)x and y axis (labeled) 2)Arrows on the ends of the axes 3)Evenly spaced tick marks (correctly numbered) Back

52. Coordinate Planes for $500 Graph the following points and connect them to form a shape. Label each point correctly. A:(-1, -2); B:(-1, 4); C:(4, 4); D:(4, -2)

53. Answer Back B C A D