AnswersKISD SS-3391A-Algebra II Honors AModeling with Matrices

Modeling with Matrices — Unit test Answers

15 verified answers
1
Free Preview

What are the values of x and z in the solution to the system of linear equations below?

Question illustration
A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
2
Free Preview

The vertices of a rectangle are given in the columns of the matrix . If is found to perform a transformation, what are the coordinates of the transformed rectangle?

Question illustration
A
(0, 0), (0, 18), (18, 18), (18, 0)
B
(0, 0), (18, 0), (18, –18), (0, –18)
C
(0, 0), (–18, 0), (–18, –18), (0, –18)
D
(0, 0), (18, 0), (18, 18), (0, 18)
3

What is the area of a triangle with vertices at (–3, 3), (2, 3), and (4, 7)?

A
5 square units
B
10 square units
C
20 square units
D
40 square units
4

Given matrices G and H below, which statement is true?

Question illustration
A
Matrices G and H are not inverses of each other because G + H I.
Option A
B
Matrices G and H are not inverses of each other because GH I.
Option B
C
Matrices G and H are inverses of each other because GH = I.
D
Matrices G and H are inverses of each other because G + H = I.
5

What is the product?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
mc018-4.jpg
Option C
D
mc018-5.jpg
Option D
6

Matrices X and Y both measure and are inverses of each other. Which matrix represents their product?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
7

A row operation is performed on a matrix as shown below.What is the value of x?

Question illustration
A
–2
B
–1
C
0
D
3
8

Which matrix will always give a determinant of 0?

A
a matrix having all nonzero numbers
B
a matrix not being the identity matrix
C
a matrix not having equal rows
D
a matrix having two equal rows
9

A store sells almonds for $7 per pound, cashews for $10 per pound, and walnuts for $12 per pound. A customer buys 12 pounds of mixed nuts consisting of almonds, cashews, and walnuts for $118. The customer buys 2 more pounds of walnuts than cashews. The matrix below represents this situation.If the reduced row echelon form of this matrix represents the amount of each type of nut the customer buys, which statement is a possible interpretation of the results?

Question illustration
A
The customer buys 1 more pound of walnuts than almonds and 1 more pound of almonds than cashews.
B
The customer buys 2 more pounds of walnuts than almonds and 2 more pounds of almonds than cashews.
C
The customer buys 0.5 more pound of walnuts than almonds and 2.5 more pounds of almonds than cashews.
D
The customer buys 6.5 more pounds of walnuts than almonds and 8.5 more pounds of almonds than cashews.
10

James bought two shirts and three pairs of pants for $87. Matthew bought two pairs of pants and one shirt for $53. Assuming each pair of pants costs the same amount and each shirt costs the same amount, how much does one pair of pants cost?

A
mc023-1.jpg
Option A
B
mc023-2.jpg
Option B
C
mc023-3.jpg
Option C
D
mc023-4.jpg
Option D
11

A basketball player scored 33 points during a game by shooting 1-point free throws, 2-point field goals, and 3-point field goals. The player scored 17 times. She scored 3 more 2-point field goals than 1-point free throws. The system of equations below represents the situation, where x is the number of 1-point free throws, y is the number of 2-point field goals, and z is the number of 3-point field goals. x + y + z = 17x + 2y + 3z = 33y – x = 3Which matrix and solution represents the number of 1-point free throws, 2-point field goals, and 3-point field goals the player scored?

A
The player scored five 1-point free throws, eight 2-point field goals, and four 3-point field goals.
Option A
B
The player scored five 3-point field goals, eight 2-point field goals, and four 1-point free throws
Option B
C
The player scored seven 1-point free throws, four 2-point field goals, and six 3-point field goals.
Option C
D
The player scored seven 3-point field goals, four 2-point field goals, and six 1-point free throws.
Option D
12

What is the value of the element in row 1, column 1 of matrix X?

Question illustration
A
mc026-2.jpg
Option A
B
4
C
8y
D
0
13

Which would be the next step in solving for matrix A?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
14

What is the determinant of ?

Question illustration
A
–24
B
–3
C
3
D
45
15

The matrix below represents a system of equations.Which of the following describes the solution to this system of equations?

Question illustration
A
dependent
B
inconsistent
C
independent
D
unique

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Modeling with Matrices

Quiz
10 verified answers

Modeling with Matrices

Assignment
9 verified answers

Modeling with Matrices