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 +

CHAPTER 4 TESTHOT SEAT

RESOURCE MANAGERS NEED TO GET WHITE BOARD BUCKETS.

FACILITATORS ARE UP 1ST.

Select all of the expressions below that can be used to calculate the number of tiles in a 19x19 frame.

A. (19 · 4) – 4B. 18 · 4C. 19 · 18D. 19 + 19 + 17 + 17E. 19 · 19F. (17 · 18) – 4G. 17 · 4 + 4

QUESTION 1

ANSWERSelect all of the expressions below that can be used to calculate the number of tiles in a 19x19 frame.

A.(19 · 4) – 4B.18 · 4C. 19 · 18D.19 + 19 + 17 + 17E. 19 · 19F. (17 · 18) – 4G.17 · 4 + 4

QUESTION 2Evaluate the following expression when a = 5, b = 10, and c = 12.

C – 2a + b

ANSWEREvaluate the following expression when a = 5, b = 10, and c = 12.

12 – 2(5) + 1012 – 10 + 10

2 + 1012

QUESTION 3Lauren 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?

ANSWERLauren 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?

22 : 50 = 11 : 25

QUESTION 4Write a variable expression

represented by the picture or quantity described below.

3c 3c 2 3c 1 3c 12

ANSWERWrite a variable expression

represented by the picture or quantity described below.

3c 3c 2 3c 1 3c 12

4(3c) + 153c + 3c + 3c + 3c + 2 + 1 + 12

3c + 3c + 3c + 3c + 15

QUESTION 5On a map, 5 inches

represents 100 miles. How many inches would there be between two cities that are

2,500 miles apart?

ANSWEROn a map, 5 inches

represents 100 miles. How many inches would there be between two cities that are

2,500 miles apart? 125 inches

I M 5 100 100x = 12500

5 100 x = 2500 100 100

x 2500 100x = 12500 x = 125

QUESTION 6

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.

ANSWERElizabeth 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 hourslbs h 9 3 9x = 549 3 18 = x 9 918 x x = 6

QUESTION 7Write a variable expression

represented by the picture or quantity described below.

b 8 b b 10

ANSWERWrite a variable expression

represented by the picture or quantity described below.

b 8 b b 10

3b + 18b + b + b + 8 + 10

QUESTION 8Evaluate the expression for the

given value of the variable.

14 + 6m – 8 for m = 2

ANSWEREvaluate the expression for the

given value of the variable.

14 + 6m – 8 for m = 2

14 + 6(2) – 814 + 12 – 8

26 – 818

QUESTION 9

8 in

5 in

14 in

8.75 in

Are the two rectangles similar? How do you know?

ANSWER

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.

QUESTION 10

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.

ANSWERJohn 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

12

1010

QUESTION 11

2 in

5 in

6 in

15 in

What is the ratio of the smaller perimeter to the larger perimeter?

ANSWER

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