MATH MISC Introduction to Statistics with Calculus - Columbia College. Edmentum Assessments _ Pretes

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10/6/2019

Pretest: Matrices

Pretest: Matrices Name:

Date:

Instructor:

1 Type the correct answer in each box.

Create a matrix for this linear system:

The determinant of the coe cient matrix is

x=

5

y=

4

z=

3

-6

.

Question serial: FIB-7B12-8A70-582D

2 Select all the correct answers.

Which of these matrices have positive determinants?

Question serial: MC-2C80-8EA1-E5EA

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Pretest: Matrices

3 Select the correct answer.

A milkshake vendor sells shakes in three di erent avors: mango, strawberry, and chocolate. This table gives the number of shakes of each avor sold during three shifts on one day.

Mango Strawberry Chocolate Shift 1

16

13

29

Shift 2

26

19

45

Shift 3

6

11

0

Total sales were $419 in the rst shift, $649 in the second shift, and $96 in the third shift. If you form a linear system representing the data in the table and create a matrix from it, the determinant is 578. What is the price of one chocolate shake?

A.

$2

B.

$4

C.

$7

D.

$9

Question serial: MC-EE11-997B-A948

4 Match each determinant value to the correct matrix.

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

Question serial: MCH-5698-D1BB-647C © 2019 Edmentum. All rights reserved.

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Pretest: Matrices

5 Drag each value to the correct location on the matrix. ,

, and

.

Match each value to the correct entry in matrix A.

Question serial: GGM-11D4-D629-1686

6 Select the correct answer.

For which pair of matrices is

?

A. B. C. D.

Question serial: MC-6B57-1049-C476

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Pretest: Matrices

7 Select the correct answer.

Bill's Apparel and Bud's Apparel are two sporting goods retailers. Bill's want to buy 360 small jerseys, 540 medium jerseys, and 300 large jerseys, while Bud's want to buy 240 small jerseys, 600 medium jerseys, and 360 large jerseys. The two dealers from which they are looking to buy their jerseys are Zest Athletics and Zeal Sporting Wear. Zest charges $14 for small jerseys, $18 for medium jerseys, and $21 for large jerseys. Zeal charges $16 for small jerseys, $18 for medium jerseys, and $19 for large jerseys. Use matrix multiplication to nd the dealer each retailer should choose for its purchase.

A.

Bill's and Bud's both should purchase from Zest.

B.

Bill's and Bud's both should purchase from Zeal.

C.

Bill's should purchase from Zeal, and Bud's should purchase from Zest.

D.

Bill's should purchase from Zest, and Bud's should purchase from Zeal.

Question serial: MC-74E1-A18C-CC0E

8 Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

,

, and

.

Match the lettered entries in matrices A, B, and AB to their values.

Question serial: MCH-B8D7-E1A5-D80A © 2019 Edmentum. All rights reserved.

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Pretest: Matrices

9 Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used.

A biker needs to pass two checkpoints before completing a race. The total distance for the race is 120 miles. The distance from the starting point to checkpoint 1 is 35 miles more than half the distance from checkpoint 1 to checkpoint 2. The distance from checkpoint 2 to the nish line is 20 miles less than twice the distance from checkpoint 1 to checkpoint 2.

Let x represent the distance from the starting point to checkpoint 1, y represent the distance from checkpoint 1 to checkpoint 2, and z represent the distance from checkpoint 2 to the nish line. Complete the matrix equation that models this situation, A-1B = X.

Question serial: GGM-53B8-EC35-7044

10 Select the correct systems of equations.

Identify each system of linear equations that has an inverse for its coe cient matrix.

Question serial: HS-E7D7-0585-49B8

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Pretest: Matrices

11 Select the correct answer.

Which is the inverse of this matrix?

A. B. C. D.

Question serial: MC-EA32-92BD-50A9

12 Select the correct answer.

Solve this system of equations using the inverse of a matrix. Round each value to the nearest hundredth, if necessary.

[Hint:

and A. B.

]

,

, and

,

, and

C.

,

, and

D.

,

, and

Question serial: MC-3132-A95D-080E.2

13 Type the correct answer in each box.

The vector

is re ected across the line

If the resulting vector is

, then a =

2

and b =

and then rotated by 4

radians.

.

Question serial: FIB-93C0-EDB6-0ECC © 2019 Edmentum. All rights reserved.

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Pretest: Matrices

14 Select the correct answer.

Which matrix can be multiplied to the left of a vector matrix to get a new vector matrix?

A. B. C. D. E.

Question serial: MC-46E1-CC95-4476

15 Select the correct answer.

What is the result of this matrix multiplication?

A. B. C. D.

Question serial: MC-A715-D141-4E87

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Pretest: Matrices

16 Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

The vector matrix

is rotated at di erent angles. Match the angles of rotation with the vector matrices they produce.

Question serial: MCH-31E5-7686-6544

17 Drag each set of column entries to the correct location in the augmented matrix. Not all sets of entries will be used.

Mac traveled to three cities on one highway. The total distance one way was 320 miles. The distance from his original location to the rst city was 20 miles more than half the distance from the rst city to the second city. The distance from the second city to the third city was 75 miles less than the distance from the rst city to the second city. Let x represent the distance from the original location to the rst city, y represent the distance from the rst city to the second city, and z represent the distance from the second city to the third city. Place the correct sets of column entries in the augmented matrix that models Mac's situation.

1 -0.5 0

1 1 0

1 -0.5 1

95 145 70

1 0 -1

320 20 75

95 150 75

Question serial: GGM-43B6-BC6D-E45C

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Pretest: Matrices

18 Select the correct systems of equations.

Which systems of linear equations have no solution?

Question serial: HS-8A47-1045-1534

19 Select the correct answer.

What is the value of y in this linear system?

A. B. C. D. E.

Question serial: MC-4EE2-80B6-686D

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Pretest: Matrices

20 Select the correct answer.

How is the Gauss-Jordan elimination method di erent from the Gaussian elimination method?

A.

The Gauss-Jordan elimination method does not allow triangularization of a matrix.

B.

The Gauss-Jordan elimination method seeks to reduce all entries apart from the diagonal entries to 0 and get 1s in the diagonal entries.

C.

The Gauss-Jordan elimination method does not require a matrix.

D.

The two methods have di erent rules for elementary row operations.

Question serial: MC-E6DC-54A9-8918

21 Type the correct answer in each box.

If matrix C represents (A − B) + A, the value of the entry represented by c41 is

12

and the corresponding entry in (A + B) − A is

-6

.

2

.

Question serial: FIB-173A-06A8-D655

22 Type the correct answer in each box.

If

, then a =

6

,b=

3

,c=

9

, and d =

Question serial: FIB-5513-61BA-11C1

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10/6/2019

Pretest: Matrices

23 Select all the correct answers.

Which matrices are equal to

?

Question serial: MC-70DB-17B4-9A77

24 Select the correct answer.

What is the result of this operation?

A. B. C. D.

Question serial: MC-7890-D176-7BD3.1

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11/13

10/6/2019

Pretest: Matrices

25 Type the correct answer in each box.

a=

-2

,b=

,c=

1

4

, and d =

.

0

Question serial: FIB-43D8-3127-CCEC

26 Type the correct answer in each box.

and In

, the entry represented by

is

-15

.

In

, the entry represented by

is

-27

.

Question serial: FIB-83A3-E77E-48DB

27 Select the correct answer.

The matrix

is multiplied by a scalar to get

. What is the scalar value?

A. B. C. D.

Question serial: MC-3421-796A-EB24

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10/6/2019

Pretest: Matrices

28 Select the correct answer.

The table shows Amy's, Jenny's, and Meg's sales for the month of February. They get a 5% commission on their sales. Which matrix gives the commission they earned for each type of product?

Sales Amy Jenny Meg Books 120

250

215

Games 155

106

175

Tablets 350

400

290

A. B. C. D.

Question serial: MC-8184-4B11-CA98

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