25. Matrix C has dimensions of 3 x 1. Which matrices can be added to matrix C?

b. $$\begin{bmatrix} 10 \\ 12 \\ 14 \end{bmatrix}$$

d. $$\begin{bmatrix} 4 \\ 2 \\ 5 \end{bmatrix}$$

a. $$\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}$$

c. $$\begin{bmatrix} 3 & 4 \\ 5 & 6 \\ 7 & 8 \end{bmatrix}$$

Matrix C is given by: $$[C]=\begin{bmatrix} -1 & 9 & 2 \\ 8 & -3 & 7 \\ 4 & 6 & -5 \end{bmatrix}$$ When Matrix C is added to Matrix Q, the result is Matrix C. Write Matrix Q as a multiple choice answer.

Matrix Q = matrix with all entries equal to one

The matrix below represents a football team's performance over 3 games. Each row represents a different game. The number of points scored by the football team are in the first column and the number of points they allowed are in the second column. Which of the following statements are true? Select the three that apply.

b. In the third game, the team scored 22 points.

c. The team won the third game.

d. Two times the team allowed more than 15 points.

a. In the second game, the team allowed 30 points.

e. The least number of points the team allowed was 12.

The matrix below represents a basketball team's performance over 3 games. Each row represents a different game. The number of points scored by the basketball team is in the first column, and the number of points allowed is in the second column. Which of the following statements are true? Select the three that apply.

The team scored 72 points in the second game.

The team allowed more than 50 points in two games.

The least number of points the team allowed was 65.

The matrix below represents a soccer team's performance over four games. Each row represents a different game. The first column shows goals scored by the team, and the second column shows goals allowed. Which of the following statements are true? Select the FOUR that apply.

The team allowed more than 2 goals in two games.

The least number of goals the team allowed was 1.

In the second game, the team allowed 2 goals.

The matrix below represents the number of socks in three different colors—red, blue, and green—owned by three different people: Alex, Jordan, and Sam. Each row represents a different person, and each column represents a different sock color. Which of the following statements are true? Select the FOUR that apply.

b. Sam has the most green socks.

c. Alex has more blue socks than green socks.

d. The person with the most socks overall is Alex.

An ice cream shop offers three flavors: chocolate, vanilla, and strawberry. The shop keeps track of their stock in two different sizes: pint and quart. They have 12 pints and 8 quarts of chocolate, 10 pints and 6 quarts of vanilla, and 15 pints and 9 quarts of strawberry. Which matrix correctly represents this data if columns represent the flavors and rows represent the sizes?

b. $$\begin{bmatrix} 12 & 10 & 15 \\ 8 & 6 & 9 \end{bmatrix}$$

a. $$\begin{bmatrix} 12 & 8 \\ 10 & 6 \\ 15 & 9 \end{bmatrix}$$

c. $$\begin{bmatrix} 37 & 23 \end{bmatrix}$$

d. $$\begin{bmatrix} 20 & 30 \end{bmatrix}$$

The price of a water park ticket is based on the number of hours spent in the wave pool and lazy river. Lily spent 4 hours in the wave pool and 6 hours in the lazy river, with a total ticket cost of $36. That same day, Ethan spent 5 hours in the wave pool and 3 hours in the lazy river, and his ticket cost $30. What are the rates per hour for the wave pool and lazy river?

Cost per hour for the wave pool

Cost per hour for the lazy river

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Unit 10 Individual Practice

Authored by Katharine Curtis

Mathematics

11th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which matrix makes the following statement true? [A]•[B]=[A]

Tags

CCSS.HSN.VM.C.10

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

For which matrix A is the following matrix equation always true? [A][M]=[M]

Tags

CCSS.HSN.VM.C.10

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A 3×3 matrix M satisfies the equation [A][M] = [A] for all possible 3×3 matrices A. Which matrix M satisfies this equation?

Tags

CCSS.HSN.VM.C.10

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given that a 2 x 2 matrix M satisfies the equation [A][M] = [M] for all possible 2 x 2 matrices A, which matrix M satisfies this equation?

Tags

CCSS.HSN.VM.C.10

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Tags

CCSS.HSN.VM.C.10

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Consider the matrix being multiplied by t. What is the value of t?

1/2

-1/2

-2

Tags

CCSS.HSN.VM.C.7

FILL IN THE BLANK QUESTION

2 mins • 1 pt

What is the value of t?
t=

Tags

CCSS.HSN.VM.C.7

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Unit 10 Individual Practice

Which matrix makes the following statement true? [A]•[B]=[A]

For which matrix A is the following matrix equation always true? [A][M]=[M]

A 3×3 matrix M satisfies the equation [A][M] = [A] for all possible 3×3 matrices A. Which matrix M satisfies this equation?

Given that a 2 x 2 matrix M satisfies the equation [A][M] = [M] for all possible 2 x 2 matrices A, which matrix M satisfies this equation?

Consider the matrix being multiplied by t. What is the value of t?

What is the value of t?t=

What is the value of t?t =

What is the value of t?

What is the value of t?

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What is the value of t?
t=

What is the value of t?
t =