1. Bell work 11/5/15 1 1)A rectangle has a length of 40 cm and a width of 80 cm. The rectangle was reduced 30%. What are the dimensions of the new rectangle? (Hint: you need to find the percent of each number 40 and 80 then subtract) 2)Determine the ratio of the original figure to the new figure in simplest form. 6 8 9 4 1216 18 8

2. Bell work 11/5/15 2 1)A rectangle has a length of 40 cm and a width of 80 cm. The rectangle was reduced 30%. What are the dimensions of the new rectangle? length 28 cm and width 56 cm 2)Determine the ratio of the original figure to the new figure in simplest form. 1:2 6 8 9 4 1216 18 8

3. 3 4-72. Simplify the following expressions.

4. 4 4-73. A new shipment of nails is due any day at Hannah’s Hardware Haven, and you have been asked to help label the shelves so that the nails are organized in length from least to greatest. She is expecting nails of the following sizes: inch, inch, inch, inch, and inch. Use the ruler below to help Hannah order the labels on the shelves from least to greatest.

5. 5 4-80. Richie and Bethany play basketball and practice shooting free throws after school. During one practice session, Richie attempted 15 free throws and made 12 of them. a.Write a ratio comparing the number of free throws he made to the number that he missed. 12 shots made: 3 shots missed or 4 shots made: 1 shot missed b.Bethany made eight free throws for every three that she missed. Did Bethany do better than Richie? Show how you know. No. Bethany made 8/11 shots or 72%, and Richie made 12/15 shots or 80%.

6. 6 4-82. Use an algebraic expression to represent each sequence of lengths shown below. a. b. c. 2x + 1 or x + 1 + x 3m + 5 or m + m + m + 5 2y + 4 or y + 2 + y + 2

7. 4-83. In parts (a) through (c) below, refer to the previous problem. You will find the length of the line segments in problem 4-82 by substituting given values for the variables. For example, if x is 3 units in part (a) of problem 4-82, the line segment would be 3 + 1 + 3 = 7 units long. 7 a.Find the length of the line segment in part (a) of problem 4-82 using x = 410 b.Find the length of the line segment in part (b) of problem 4-82 m = 417 c.Find the length of the line segment in part (c) of problem 4-82 using y = 5.515

8. Quiz 4.1/4.2 Review 8

9. Toby had a jar full of candy. He had 3 Snickers, 4 Tootsie Rolls, 6 Twizzlers, and 2 Warheads. Write a ratio showing the amount of Tootsie Rolls to Warheads in simplest form. 9 Question 1

10. Toby had a jar full of candy. He had 3 Snickers, 4 Tootsie Rolls, 6 Twizzlers, and 2 Warheads. Write a ratio showing the amount of Tootsie Rolls to Warheads in simplest form. 4:2 = 2:1 10 Question 1

11. Toby had a jar full of candy. He had 3 Snickers, 4 Tootsie Rolls, 6 Twizzlers, and 2 Warheads. Write a ratio showing the amount of Snickers to the total number of candy in simplest form. 11 Question 2

12. Toby had a jar full of candy. He had 3 Snickers, 4 Tootsie Rolls, 6 Twizzlers, and 2 Warheads. Write a ratio showing the amount of Snickers to the total number of candy in simplest form. 3:15 = 1:5 12 Question 2

13. Toby had a jar full of candy. He had 3 Snickers, 4 Tootsie Rolls, 6 Twizzlers, and 2 Warheads. Write a ratio showing the amount of Twizzlers to Snickers in simplest form. 13 Question 3

14. Toby had a jar full of candy. He had 3 Snickers, 4 Tootsie Rolls, 6 Twizzlers, and 2 Warheads. Write a ratio showing the amount of Twizzlers to Snickers in simplest form. 6:3 = 2:1 14 Question 3

15. The ratio of green airheads to purple airheads is 9:10. Does this mean there are 19 airheads total? Explain your answer. 15 Question 4

16. The ratio of green airheads to purple airheads is 9:10. Does this mean there are 19 airheads total? Explain your answer. Possibly. When you add the two numbers together, you get 19. You could have even more though, because if you multiply them both by the same number, you will still have the simplified ratio of 9:10. For example: 18:20. That would mean there are 38 suckers but could be simplified to 9:10. 16 Question 4

17. A pancake recipe calls for 5 cups of water for every 2 cups of batter. How much batter is needed for 15 cups of water? 17 Question 5

18. A pancake recipe calls for 5 cups of water for every 2 cups of batter. How much batter is needed for 15 cups of water? 6 cups of batter 18 Question 5

19. The triangles below are similar. Determine the ratio of triangle ABC to triangle DEF. B 19 A C D E F 24 6 4 8 12 Question 6

20. The triangles below are similar. Determine the ratio of triangle ABC to triangle DEF. 1:2 B 20 A C D E F 24 6 4 8 12 Question 6

21. Look at the two rectangles shown below. 21 5 Ft. 10 Ft. 50 Ft. 100 Ft. Are the two shapes similar? Explain your answer. Question 7

22. Look at the two rectangles shown below. 22 5 Ft. 10 Ft. 50 Ft. 100 Ft. Are the two shapes similar? Explain your answer. Question 7 Yes, they have the same shape, they’re just different sizes.

23. Look at the two rectangles shown below. 23 5 Ft. 10 Ft. 50 Ft. 100 Ft. What is the ratio of the smaller perimeter to the larger perimeter in simplest form? Question 8

24. Look at the two rectangles shown below. 24 5 Ft. 10 Ft. 50 Ft. 100 Ft. What is the ratio of the smaller perimeter to the larger perimeter in simplest form? 30:300 or 1:10 Question 8

25. Look at the two rectangles shown below. 25 5 Ft. 10 Ft. 50 Ft. 100 Ft. Question 9 What is the ratio of the smaller area to the larger area in simplest form?

26. Look at the two rectangles shown below. 26 5 Ft. 10 Ft. 50 Ft. 100 Ft. Question 9 What is the ratio of the smaller area to the larger area in simplest form? 50:5000 or 1:100

27. Evaluate the following expression if A=2 and B=3. 3A + B-5 27 Question 10

28. Evaluate the following expression if A=2 and B=3. 3A + B-5 3(2) + 3-5 6 + 3 – 5 9 - 5 4 28 Question 10

29. Evaluate the following expression if A=2 and B=3. AB - 6 29 Question 11

30. Evaluate the following expression if A=2 and B=3. AB – 6 (2)(3)-6 6-6 0 30 Question 11

31. Select all of the expressions that are equivalent to 2(x - 4) + 6 A. 2x-8+6 B. x+x-4+6 C. 2x – 10 D. 2x +10 E. x-4+x-4+3+3 31 Question 12

32. Select all of the expressions that are equivalent to 2(x - 4) + 6 A. 2x-8+6 B. x+x-4+6 C. 2x – 10 D. 2x +10 E. x-4+x-4+3+3 32 Question 12

33. Draw a diagram to match Croakie’s moves. Croakie started at A and made three jumps of three to the right then jumped 4 to the left and ended at B. 33 Question 13

34. Draw a diagram to match Croakie’s moves. Croakie started at A and made three jumps of three to the right then jumped 4 to the left and ended at B. 34 Question 13 333 -4 A B

35. Write a numeric expression to describe Croakie’s movements. Croakie started at A and made three jumps of three to the right then jumped 4 to the left and ended at B. 35 Question 14

36. Write a numeric expression to describe Croakie’s movements. Croakie started at A and made three jumps of three to the right then jumped 4 to the left and ended at B. 3 + 3 + 3 – 4 36 Question 14

37. Find the value of the variable below. 10 y y 26 37 Question 15

38. Find the value of the variable below. 10 y y 26 38 Question 15 y = 8

39. Using the diagram below, write two equivalent expressions that represent the movement shown. 10 y y 39 Question 16

40. Using the diagram below, write two equivalent expressions that represent the movement shown. 10 y y 40 Question 16 10 + y + y 10 + 2y

41. What is the value of the variable below? c c c c 4 c 46 41 Question 17

42. What is the value of the variable below? c c c c 4 c 46 42 Question 17 46 – 4 = 42 42 ÷ 3 = 14 C = 14

43. Write an expression for the following: Fourteen less than a number 43 Question 18

44. Write an expression for the following: Fourteen less than a number n - 14 44 Question 18

45. Write an expression for the following: the product of 6 and k increased by 7 45 Question 19

46. Write an expression for the following: the product of 6 and k increased by 7 6k + 7 46 Question 19

47. Simplify the expression below by combining like terms. 9x – 3x + 4x 47 Question 20

48. Simplify the expression below by combining like terms. 9x – 3x + 4x 10x 48 Question 20

49. Simplify the expression below by combining like terms. 3y – 2x + 2y 49 Question 21

50. Simplify the expression below by combining like terms. 3y – 2x + 2y (3y + 2y) – 2x 5y – 2x 50 Question 21

51. The triangles below are similar. Find the length of the missing side. 51 Question 22 4 8 6 23 33

52. The triangles below are similar. Find the length of the missing side. 52 Question 22 4 8 6 23 33

53. A rectangle has a length of 28 cm and a width of 52 cm. The rectangle was reduced 75%. What are the dimensions of the new rectangle? Question 23

54. A rectangle has a length of 28 cm and a width of 52 cm. The rectangle was reduced 75%. What are the dimensions of the new rectangle? 28 0.75 = 2128 – 21 = 7cm (length) 52 0.75 = 3952 – 39 = 13cm (width) Question 23

55. A holiday bag of Skittles has green pieces, red pieces, and yellow pieces. The ratio of red pieces to green pieces is 2:1. The ratio of green pieces to all of the pieces in the bag is 2:13. Write each of the following ratios in simplest form. a. The ratio of red pieces to the total number of pieces. b. The ratio of yellow pieces to the total number of pieces. c. The ratio of yellow pieces to green pieces. d. The ratio of red pieces to yellow pieces. Question 24 – This is a tough one! Draw a table to help you.

56. A holiday bag of Skittles has green pieces, red pieces, and yellow pieces. The ratio of red pieces to green pieces is 2:1. The ratio of green pieces to all of the pieces in the bag is 2:13. Write each of the following ratios in simplest form. a. The ratio of red pieces to the total number of pieces. 4:13 b. The ratio of yellow pieces to the total number of pieces. 7:13 c. The ratio of yellow pieces to green pieces. 7:2 d. The ratio of red pieces to yellow pieces. 4:7 Question 24 GreenRedYellowTotal 12 24713