NC M1 U3 Review

Here is a graph of the equation . Select all coordinate pairs that represent a solution to the equation.

• (0,2)

• (0,6)

• (2,6)

• (3,1)

A theater is selling tickets to a play. Adult tickets cost $8 each, and children’s tickets cost $5 each. They collect $275 after selling adult tickets and children’s tickets.

What does the point (30,7) mean in this situation?

• 30 adult tickets and 7 children’s tickets were sold.

• 7 adult tickets and 30 children’s tickets were sold.

A theater is selling tickets to a play. Adult tickets cost $8 each, and children’s tickets cost $5 each. They collect $275 after selling adult tickets and children’s tickets.

What statements are also true?

• If no adult tickets were sold, 55 children's tickets were sold.

• If 37 people bought tickets, 30 tickets were sold to adults.

• If 25 adults bought tickets, 50 tickets total were sold.

• If 25 adult tickets were sold, 15 children's tickets were sold.

The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.

If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints in this situation?

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Solve this system of equations without graphing.

• x = 1

  y = -6

• x = -2

  y = 5

• x = 5

  y = -2

• x = -6

  y = 1

Two inequalities are graphed on the same coordinate plane.

Select two solutions to this system of inequalities.

• (6,-2)

• (4,-6)

• (6,-8)

• (-4,0)

Match each inequality to the graph of its solution.

• 5x + 2y ≥ 20

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• 2x-5y ≥ 20

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• 2x + 10y ≤ 20

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• 4x - 10y ≤ 20

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• 4x - 5y ≥ 20

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A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales. They also want to sell at least 500 tickets total.

Which of the following represents this situation as a system of inequalities?

• 15x+12y ≤ 3000

  x + y ≤ 500

• 15x+12y ≥ 3000

  x + y ≥ 500

• 15x+12y ≥ 500

  x + y ≥ 3000

• 15x + 12y > 500

  x + y > 3000

Graph your system of equations from the previous question:

15x + 12y ≥ 3000

x + y ≥ 500

Based on the graph, which of the following are solutions to this system?

• (550, 1000)

• (200,0)

• (200,200)

• (800, 300)

Which system of equations is equivalent to this system?

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