2. Select all of the expressions below that can be used to calculate the number of tiles in a 19x19 frame. A.(19 · 4) – 4 B.18 · 4 C.19 · 18 D.19 + 19 + 17 + 17 E.19 · 19 F.(17 · 18) – 4 G.17 · 4 + 4

3. Select all of the expressions below that can be used to calculate the number of tiles in a 19x19 frame. A.(19 · 4) – 4 B.18 · 4 C.19 · 18 D.19 + 19 + 17 + 17 E.19 · 19 F.(17 · 18) – 4 G.17 · 4 + 4

4. Evaluate the following expression when a = 5, b = 10, and c = 12. C – 2a + b

5. Evaluate the following expression when a = 5, b = 10, and c = 12. 12 – 2(5) + 10 12 – 10 + 10 2 + 10 12

6. Lauren is 18 years old and her mother, Carolyn, is 46 years old. What will be the ratio of Lauren’s age to Carolyn’s age in 4 years?

7. 22 : 50 = 11 : 25

8. Write a variable expression represented by the picture or quantity described below. 3c 3c 2 3c 1 3c 12

9. Write a variable expression represented by the picture or quantity described below. 3c 3c 2 3c 1 3c 12 4(3c) + 15 3c + 3c + 3c + 3c + 2 + 1 + 12 3c + 3c + 3c + 3c + 15

10. On a map, 5 inches represents 100 miles. How many inches would there be between two cities that are 2,500 miles apart?

11. On a map, 5 inches represents 100 miles. How many inches would there be between two cities that are 2,500 miles apart? 125 inches IM 5 100 100x = 12500 5100 x = 2500 100 100 x2500 100x = 12500 x = 125

12. Elizabeth prepared 9 lbs of dough after working 3 hours. How many hours did Elizabeth work if she prepared 18 lbs of dough? Show the proportional reasoning you used.

13. Elizabeth prepared 9 lbs of dough after working 3 hours. How many hours did Elizabeth work if she prepared 18 lbs of dough? Show the proportional reasoning you used. 6 hours lbsh9 3 9x = 54 9 3 18 = x 9 9 18 x x = 6

14. Write a variable expression represented by the picture or quantity described below. b 8 b b 10

15. Write a variable expression represented by the picture or quantity described below. b 8 b b 10 3b + 18 b + b + b + 8 + 10

16. Evaluate the expression for the given value of the variable. 14 + 6m – 8 for m = 2

17. Evaluate the expression for the given value of the variable. 14 + 6m – 8 for m = 2 14 + 6(2) – 8 14 + 12 – 8 26 – 8 18

18. 8 in 5 in 14 in 8.75 in Are the two rectangles similar? How do you know?

19. 8 in 5 in 14 in 8.75 in Are the two rectangles similar? How do you know? Yes, the second rectangle’s length and width were enlarged by a scale factor of 1.75.

20. John needs to make a picture frame for a Christmas gift. He wants his frame to have 12 tiles on each side. Write an expression to find the total number of tiles used in the frame. Draw a diagram that represents your method for finding the number of tiles John will use.

21. John needs to make a picture frame for a Christmas gift. He wants his frame to have 12 tiles on each side. Write an expression to find the total number of tiles used in the frame. 12(2) + 10(2) Draw a diagram that represents your method for finding the number of tiles John will use. 12 10

22. 2 in 5 in 6 in 15 in What is the ratio of the smaller perimeter to the larger perimeter?

23. 2 in 5 in 6 in 15 in What is the ratio of the smaller perimeter to the larger perimeter? 14 : 42 = 1 : 3 2 in 5 in 6 in 15 in