Chapter 3 Review 2023

Solve the system.

• (3, -2, 4)
• (2, -3, 1)
• (-3, 2, -1)
• Infinitely many solutions

Solve the system. 

• (5, -6, 3)
• (2, 3, -1)
• (-4, 2, 5)
• No Solution

What is the value of a for the ordered triple?

• 0
• 5
• -2
• no solution

The school that Laura goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets, 2 adult tickets and 5 child tickets for a total of $55. The school took in $67 on the second day by selling 7 senior citizen tickets, 2 adult tickets and 5 child tickets. On the third day the show earned $46 when they sold 2 senior citizen tickets, 4 adult tickets and 2 child tickets. What is the price each of one senior citizen ticket, one adult ticket and one child ticket?

• Adult: $12
  Child: $8
  Senior: $8
• Adult: $6
  Child: $4
  Senior: $5
• Adult: $7
  Child: $5
  Senior: $4
• I did not get any of the answers above so I am assuming none ofthe above.

The FFA Club plans to grow Christmas trees as a project. There is a 1200 square foot plot of land available at their school to grow balsam fir and Douglas fir trees. There are only 576 pounds of fertilizer available.

The profit for each balsam fir tree is $15 and $18 for each Douglas fir tree.

Which of the following is an Objective Function that relates maximum profit?

• P = x + y

• P = 576x + 1200y

• P = 15x + 18y

• P = 1200x + 576y

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?

• x + y ≤ 8
• x + y ≤ 6
• 2x + 3y ≤ 6
• x + y ≤ 10

It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?

• 2x + 3y ≤ 18
• x + y ≤ 6
• x + y ≤ 9
• 3x + 2y ≤ 18

Sarah makes $30 for each small purse (x) and $50 for each big purse (y). What is the objective quantity?

• P = 30x + 50y
• P = 50x + 30y

What are the vertices of the graph?

• (0, 0), (0, 6), (6, 2), (8, 0)
• (0, 0), (6, 0), (2, 6), (0, 8)

Tags

CCSS.HSA.REI.D.12

Find the solution of the system of equations.

• (-7, -3)

• (-3, -7)

• (7, 3)

• (3, 7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6