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Question : A 3-oz serving of roasted, skinless chicken breast contains 140 calories, 27 grams of protein : 2151576

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Determine the value of the literal numbers in the given matrix equality.

1) =

A) x = -8, y = 3, z = -2

B) x = -8, y = 3, z = -7

C) x = 3, y = -8, z = -2

D) x = -8, y = -7, z = -2

2) =

A) m = -8, x = -5, n = -3, y = -4, p = -1

B) m = -8, x = -7, n = -3, y = -4, p = -1

C) m = -3, x = -7, n = -8, y = -4, p = -1

D) m = -8, x = -5, n = -7, y = -4, p = -1

3) =

A) a = 7, x = 7

B) a = 7, x = 5

C) a = 5, x = 5

D) a = 5, x = 7

4) =

A) b = 8, c = 2

B) b = 2, c = 8

C) b = 8, c = 8

D) b = 2, c = 2

5) =

A) x = 8, y = 9, z = 15, w = -5

B) x = 8, y = 17, z = 23, w = 4

C) x = 8, y = 1, z = 7, w = -8

D) x = 8, y = 1, z = -7, w = 4

Find the indicated sum of matrices.

6) +

A)

B)

C)

D)

7) +

A)

B)

C)

D)

8) +

A) [-2 3 3]

B)

C)

D)

9) +

A)

B)

C)

D)

Perform the matrix operation.

10) Let A = . Find 5A.

A)

B)

C)

D)

11) Let B = . Find -4B.

A)

B)

C)

D)

12) Let C =. Find 1/2 C.

A)

B)

C)

D)

13) Let A = and B = . Find 3A + B.

A)

B)

C)

D)

14) Let C = and D = . Find C - 4D.

A)

B)

C)

D)

15) Let A = and B = . Find 3A + 4B.

A)

B)

C)

D)

16) + =

A)

B)

C)

D)

17) + =

A)

B) Not defined

C)

D)

18) + =

A)

B)

C)

D)

19) - =

A)

B)

C) Not defined

D)

Solve the problem.

20) When the owner of a picture framing store took inventory of her unused frames, she found that she had 40 oak-8”, 12 oak-12”, 6 walnut-8” 6 walnut-8”. and 5 walnut-18” Write this information as a 2 × 3 matrix.

A)

B)

C)

D)

21) At a store, Sam bought 4 batteries, 25 60-watt light bulbs, 44 100-watt light bulbs, 6 picture-hanging kits, and a hammer. Jennifer bought 11 batteries, 4 100-watt light bulbs, and a package of tacks. Write the information as a 2 x 6 matrix.

A)

B)

C)

D)

22) Factory A makes 12 model-A, 5 model-D, and 4 model-M train sets. Factory B makes 14 model-A, 5 model-D, and 8 model-M train sets. If model-A sells for $16, model-D for $24, and model-M for $31, write a 2 x 3 matrix to summarize the income by model.

A)

B)

C)

D)

23) At a track meet, Russell ran the first heat of the 100-yd dash in 14.5 sec, Sergy in 14.8 sec, and Omar in 15.2 sec. In the second heat, they got 14.3 sec, 14.4 sec, and 14.7 sec. Write a 1 x 3 matrix giving the changes in times. If the changes repeat, who will win?

A) [0.2 0.4 0.5], Sergy

B) , Omar

C) [-0.2 -0.4 -0.5], Sergy

D) [-0.2 -0.4 -0.5], Russell

24) Sara works at a fast food restaurant. On one day she sold 46 double hamburgers, 91 fish sandwiches, 91 orders of French fries, 39 small drinks, 54 medium drinks, and 65 large drinks. On the next day she sold 64 double hamburgers, 89 fish sandwiches, 28 orders of French fries, 23 small drinks, 14 medium drinks, and 74 large drinks. Write this information in a 2 x 6 matrix.

A)

B)

C)

D)

25) Sara works at a fast food restaurant. On one day she sold 82 double hamburgers, 21 fish sandwiches, 55 orders of French fries, 11 small drinks, 71 medium drinks, and 99 large drinks. On the next day she sold 78 double hamburgers, 94 fish sandwiches, 21 orders of French fries, 31 small drinks, 15 medium drinks, and 68 large drinks. Write this information in a 6 x 2 matrix.

A)

B)

C)

D)

26) Barnes and Able sell life, health, and auto insurance. Sales for May and June are given in the matrices.

Life Health Auto

M =

J =

Find the matrix that would give total sales for May and June.

A)

B)

C)

D)

27) Carney and Dobler sell home and mortgage insurance. Their sales for the months of July and August are given in the matrices.

Home Mortgage

A = ^{ }

J =

Find the matrix that would give the change in sales.

A)

B)

C)

D)

28) The matrices give points and rebounds for five starting players in two games. Find the matrix that gives the totals for the two games.

A)

B)

C)

D)

29) A 3-oz serving of roasted, skinless chicken breast contains 140 calories, 27 grams of protein, and 3 grams of fat. A broccoli spear contains 50 calories, 5 grams of protein, and 1 gram of fat. A cup of whole milk contains 150 calories, 8 grams of protein, and 8 grams of fat. The amount of calories, protein, and fat in one serving of chicken breast can be represented by the matrix C = . Find the matrices B and M for the amounts of calories, protein, and fat in a broccoli spear and a cup of whole milk, respectively, and write the matrix 4C + 4B + 3M which represents the calories, protein, and fat in 4 servings of chicken, 4 servings of broccoli, and 3 cups of whole milk.

A)

B)

C)

D)