1. Quiz 4.1/4.2 Review 1

2. Toby had a jar full of candy. He had 3 Snickers, 4 Tootsie Rolls, 6 Twizzlers, and 2 Warheads.  Part A: Write a ratio showing the amount of Tootsie Rolls to Warheads in simplest form.  Part B: Write a ratio showing the amount of Snickers to the total number of candy in simplest form.  Part C: Write a ratio showing the amount of Twizzlers to Snickers in simplest form. 2

3. Toby had a jar full of candy. He had 3 Snickers, 4 Tootsie Rolls, 6 Twizzlers, and 2 Warheads.  Part A: Write a ratio showing the amount of Tootsie Rolls to Warheads.  4:2 = 2:1  Part B: Write a ratio showing the amount of Snickers to the total number of candy.  3:15  Part C: Write a ratio showing the amount of Twizzlers to Snickers.  6:3 = 2:1 3

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

5.  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. 5

6. 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

7.  6 cups of batter 7

8. The triangles below are similar. By what scale factor was triangle ABC enlarged to create triangle DEF?  B 8 AC D E F 24 6 4 8 12

9. The triangles below are similar. By what scale factor was triangle ABC enlarged to create triangle DEF?  B 9 AC D E F 24 6 4 8 12 2

10. Look at the two rectangles shown below. 10 5 Ft. 10 Ft. 50 Ft. 100 Ft. 1.Are the two shapes similar? Explain your answer. 2.What is the ratio of the smaller perimeter to the larger perimeter? 3.What is the ratio of the smaller area to the larger area?

11. Look at the two rectangles shown below. 11 5 Ft. 10 Ft. 50 Ft. 100 Ft. 1.Yes, they have the same shape, they’re just different sizes. 2.30:300 or 1:10 3.50:5000 or 1:100

12. Evaluate the following expressions if A=2 and B=3.  3A + B-5  AB - 6 12

13. Evaluate the following expressions if A=2 and B=3.  3A + B-5  3(2) + 3-5= 6-2=4  AB – 6  (2)(3)-6= 6-6= 0 13

14. 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-2-2+x-2-2+3+3 14

15. 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-2-2+x-2-2+3+3 15

16. Draw a diagram to match Croakie’s moves.  Croakie started at 2 on the number line, made three jumps of three, followed by moving -4. 16

17. Draw a diagram to match Croakie’s moves. 17 0 1 2 3 4 5 6 7 8 9 10 11

18. Write an expression to describe Croakie’s movements as a numeric expression.  Croakie started at 2 on the number line, made three jumps of three, followed by moving -4. 18

19. Write an expression to describe Croakie’s movements as a numeric expression. 2+ 3(3) - 4 19

20. Find the value of the variable below. 10 y y 26 20

21. Find the value of the variable below. 10 y y 26 Y=8 21

22. Using the diagram below, write two expressions that both represent the movement shown. 10 y y 22

23. Using the diagram below, write two expressions that both represent the movement shown. 10 y y 10 + y + y 10 + 2y 23

24. What is the value of the variable below? c c c c 4 c 28 24

25. What is the value of the variable below? c c c c 4 c 28 C=8 25

26. Write an expression for the following: Fourteen less than a number divided by two 26

27. Write an expression for the following: Fourteen less than a number divided by two (n ÷ 2) -14 or n/2 - 14 27

28. Simplify the expression below by combining like terms. 9x – 3x + 4x 28

29. Simplify the expression below by combining like terms. 9x – 3x + 4x = 10x 29

30. Simplify the expression below by combining like terms. 3y – 2x + 2y 30

31. Simplify the expression below by combining like terms. 3y – 2x + 2y = 5y – 2x 31

32. Sarah is making a picture frame for her mom for Christmas. She wants the frame to have 20 tiles on each side. Part A: Draw a diagram & write an expression that demonstrates your method for finding the total number of tiles Sarah needs for her picture frame. Part B: How many tiles will she need? 32

33. Part A: 33 18 20 18 20 4(20)-4 Part B: Sarah will need 76 tiles.

34. Solve the following:  A. 25.5 ÷ 1.5  B. 27.3 19.4  C. 344-26.89 34

35. Solve the following:  A. 25.5 ÷ 1.5 = 17  B. 27.3 19.4= 529.62  C. 344-26.89= 317.11 35