Quiz about Q1 Benchmark Review

Question 1

A store records the number of shirts ordered in one week in a matrix labeled A. The second week the number of shirts ordered was 2A. What matrix represents 2A?

Accepted Answer

Question 2

A soccer group has a junior team and a senior team. Both teams keep track of the number of wins and losses during the season. Matrix M represents the 2022 season and matrix N represents the 2023 season. What matrix represents the total number of wins and losses over the 2022 and 2023 seasons?

Accepted Answer

Question 3

Accepted Answer

Question 4

Accepted Answer

Change the order of the values in the first column.

Answer

Change the order of the rows.

Answer

Change all values to negative.

Answer

Change the values of the second column to negative.

Question 5

Accepted Answer

Question 6

Given the system of equations: 3x + y - z = 4 2x - 3y + 5z - 1 = 0 -6y + 3x - x = -3 How would this system be rewritten using matrix representation?

Accepted Answer

Question 7

Juan bought 3 bags of apples and 4 bags of grapes for a total cost of $33. The cost of each bag of grapes is twice the cost of each bag of apples. Amber bought some strawberries and blueberries which had total cost of $33. The matrix representation of the system of linear equations that will determine the price of each bag of apples, x, and price of each bag of grapes, y, would be the exact same as the matrix representation of the system of linear equations that would determine the number of pounds of strawberries and blueberries Amber bought. In the matrix representation for Amber's situation x would represent the number of pounds of strawberries Amber bought and y would represent the number of pounds of blueberries Amber bought. Which TWO statements are TRUE?

Accepted Answer

Accepted Answer

The cost of each pound of strawberries is $3 and the cost of each pound of blueberries is $4.

Answer

Amber bought twice as many pounds of strawberries as blueberries.

Answer

Amber bought 3 pounds of strawberries and 4 pounds of blueberries for $33.

Question 8

Jean needs to buy at least 80 total light bulbs but needs to spend at most $500. There are two types of lightbulbs that she can buy. - Light bulb A costs $4 and on average lasts 10,000 hours. - Light bulb B costs $7 and on average lasts 20,000 hours. The graph shows the possible number of $4 lightbulbs, x, and $7 lightbulbs, y, that Jean can buy within her constraints. Jean wants to maximize the number of bulb hours for the light bulbs purchased represented by the objective function H = 10000x + 20000y. Which statement is TRUE?

Accepted Answer

(80, 20) is a solution to the graphed system of constraints but does not maximize the objective function.

Answer

(5, 75) is a solution to the graphed system of constraints and maximizes the objective function.

Answer

(125, 0) is a solution to the graphed system of constraints and maximizes the objective function.

Answer

(80, 125) is a solution to the graphed system of constraints but does not maximize the objective function.

Question 9

A farmer plants x acres of soybeans and y acres of corn. The equation x + y = 150 represents a constraint on the total number of acres the farmer planted. The equation 40x + 120y = 9000 represents a constraint on the cost of planting the soybeans and corn. Which data point represents a solution for the constraints?

Accepted Answer

(112.5, 37.5)

Answer

(100, 50)

Answer

(50, 100)

Answer

(37.5, 112.5)

Question 10

Wayne is getting ready for a craft fair where he will sell handmade toy planes and cars. He does not have any toys ready yet to sell. The table shows how many days it takes to make each toy, the cost of materials for each toy, and the profit made for each toy sold. Wayne uses the following constraints and graph to represent the possible number of toy planes, x, and toy cars, y, that he can make for the craft fair. Wayne determines the solution (6, 14) will help him best meet his goal. Which statement BEST represents the situation?

Accepted Answer

Wayne wants to make at least 6 each of the planes and cars and at least 20 total toys. He has at most 90 days to make the toys before the craft fair. Wayne is trying to minimize his material costs which will occur when 6 planes and 14 cars are made.

Answer

Wayne wants to make at least 90 total planes and cars and at least 20 of each type. He has at least 6 days to make the toys before the craft fair. Wayne is trying to minimize his material costs which will occur when 6 planes and 14 cars are made.

Answer

Wayne wants to make at least 90 total planes and cars and at least 20 of each type. He has at least 6 days to make the toys before the craft fair. Wayne is trying to maximize his possible profit which will occur when 6 planes and 14 cars are made.

Question 11

Accepted Answer

Question 12

A company is planning to increase the price of their product by x dollars. The function f(x) = (2100 - 150x)(x + 8) represents the predicted revenue, f, of the company, in dollars, as a function of the price increase, x. What is the maximum predicted revenue? (GRAPH IT)

Accepted Answer

$18,150

Answer

$14,000

Answer

$14,400

Answer

$16,800

Question 13

Data collected on the age and length of a certain species of fish is analyzed and determined to roughly follow a quadratic model. The graph shows the data and quadratic regression model. Based on the data, which equation best represents the length of the fish as a function of age?

Accepted Answer

Question 14

If the profits of the companies continue to follow these quadratic models, what prediction can be made about how the profits of the two companies will compare for December 2024?

Accepted Answer

Company B will have a profit approximately $250 greater than company A.

Answer

Company B will have a profit approximately $150 greater than company A.

Answer

Company A will have a profit approximately $600 greater than company B.

Answer

Company A will have a profit approximately $1000 greater than company B.

Question 15

The complex numbers a + bi and c + di are complex conjugates where a, b, c, and d are unknown constants and coefficients. Which equation MUST be TRUE?

Accepted Answer

b + d = 0

Answer

a + c = 0

Answer

a + b = c + d

Answer

a + b = -(c + d)

Question 16

Manuel is playing a game in his mathematics class to learn about imaginary numbers. He has one remaining space on his gameboard to be able to win. Manuel's teacher needs to call out an expression that is equivalent to -i. Which of the following is TRUE?

Accepted Answer

Question 17

Function f is defined as $$f(x)=x^2−6x+14$$ .

What is the minimum value of f(x).

Accepted Answer

5

Answer

-3

Answer

3

Answer

14

Question 18

What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?

Accepted Answer

x = 2 or x = -3

Answer

x = - 2 or x = 3

Answer

The are no real roots

Answer

x = 2 or x = 3

Question 19

Question 19.

Accepted Answer

Question 20

Question 20.

Accepted Answer

Question 21

Question 21.

Accepted Answer

Q1 Benchmark Review

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics