At a local play, student tickets cost $5 each and adult tickets cost $11 each. If ticket sales were $3,000 for 300 tickets, how many students attended the play?

Question

50
150
250
300
Question 2(Multiple Choice Worth 1 points)
(05.02 MC)

Solve the system of equations using substitution.

3x + 2y = 7
x = 3y + 6

(0, −2)
(1, 2)
(3, −1)
(6, 0)
Question 3(Multiple Choice Worth 1 points)
(05.01 MC)

Graph the following system of equations.

y = 3x + 9
6x − 2y = 6

What is the solution to the system?

There is no solution.
There is one unique solution (−1, −6).
There is one unique solution (0, −3).
There are infinitely many solutions.
Question 4(Multiple Choice Worth 1 points)
(05.03 MC)

Two families visited an amusement park. The first family bought 2 hot dogs and 3 bottles of waters, which totaled $18. The second family bought 4 hot dogs and 2 bottles of waters, which totaled $28. How much did one hot dog cost?

$2
$4
$5
$6
Question 5(Multiple Choice Worth 1 points)
(05.06 MC)

The following inequalities form a system.

y is greater than or equal to two-thirds times x plus 2
y is less than negative one-third times x plus 1

Which ordered pair is included in the solution to this system?

(−6, −3)
(−6, −2)
(−6, 3)
(−6, 4)
Question 6(Multiple Choice Worth 1 points)
(05.01 MC)

The following equations define a system.

−2x − y = 10
x − 2y = 5

Which graph represents the system?

The graph shows a line that passes through negative 5 comma 0 and 0 comma 2.5. There is a second line that passes through 0 comma 10 and 5 comma 0. The lines intersect at 3 comma 4.
The graph shows a line that passes through negative 5 comma 0 and 0 comma 10. There is a second line that passes through 0 comma 2.5 and 5 comma 0. The lines intersect at negative 3 comma 4.
The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 2.5. There is a second line that passes through 0 comma negative 10 and 5 comma 0. The lines intersect at 3 comma negative 4.
The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 10. There is a second line that passes through 0 comma negative 2.5 and 5 comma 0. The lines intersect at negative 3 comma negative 4.
Question 7(Multiple Choice Worth 1 points)
(05.01 LC)

Which graph shows a system of equations with infinitely many solutions?

The graph shows two parallel lines.
The graph shows lines, which intersect at 0 comma 5.
The graph shows lines, which intersect at 1 comma 6.
The graph shows two lines, which appear as one line.
Question 8(Multiple Choice Worth 1 points)
(05.06 MC)

The following inequalities represent a system.

y ≤ −5x + 2
y < 3x − 1.5

Which of the following graphs represents the system?

The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading above the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading above the line.
The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading below the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading above the line.
The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading above the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading below the line.
The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading below the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading below the line.
Question 9(Multiple Choice Worth 1 points)
(05.02 MC)

Nikhil and Mae work at the same company. Nikhil has been at the company 6 times as long as Mae. Nikhil's time at the company is 8 more than 4 times Mae's. The following system of equations models the scenario:

x = 6y
x = 8 + 4y

How many years has each person been employed by the company?

Nikhil has been with the company for 36 years, while Mae has been there for 6 years.
Nikhil has been with the company for 30 years, while Mae has been there for 5 years.
Nikhil has been with the company for 24 years, while Mae has been there for 4 years.
Nikhil has been with the company for 18 years, while Mae has been there for 3 years.
Question 10(Multiple Choice Worth 1 points)
(05.05 MC)

The marching band is holding a fundraiser. The band is selling t-shirts for $20 and yearbooks for $24. The goal is to sell at least $2,400 in merchandise. Which of the following is a solution to this scenario?

50 t-shirts and 59 yearbooks
51 t-shirts and 57 yearbooks
60 t-shirts and 48 yearbooks
62 t-shirts and 48 yearbooks
Question 11(Multiple Choice Worth 1 points)
(05.03 MC)

Given the system of equations:

3x − 3y = 6
2x + 6y = 12

Solve for (x, y) using elimination.

(−6, 0)
(3, 1)
(4, 2)
(8, 6)
Question 12(Multiple Choice Worth 1 points)
(05.05 MC)

Which of the following graphs matches the inequality 3x − 2y ≥ 4?

The graph shows a solid line, which crosses the y-axis at negative 2 and the x-axis at 4 thirds, with shading above the line.
The graph shows a solid line, which crosses the y-axis at negative 2 and the x-axis at 4 thirds, with shading below the line.
The graph shows a dashed line, which crosses the y-axis at negative 2 and the x-axis at 4 thirds, with shading above the line.
The graph shows a dashed line, which crosses the y-axis at negative 2 and the x-axis at 4 thirds, with shading below the line.
Question 13(Multiple Choice Worth 1 points)
(05.03 MC)

Solve the system of equations using elimination.

−2x + 3y = 13
x + y = 11

(−5, 1)
(−3, 3)
(3, 8)
(4, 7)
Question 14(Multiple Choice Worth 1 points)
(05.06 MC)

Marissa is selling paintings for $10 each and bracelets for $4 each. Her goal is to sell at least $600 in products, and she must sell at least 60 bracelets. Which of the following combinations will satisfy these constraints?

20 paintings and 60 bracelets
25 paintings and 80 bracelets
30 paintings and 70 bracelets
40 paintings and 60 bracelets
Question 15(Multiple Choice Worth 1 points)
(05.05 LC)

Which graph represents the inequality y is less than negative one-third times x plus 1?

The graph shows a solid line, which crosses the y-axis at 1 and the x-axis at 3, with shading above the line.
The graph shows a dashed line, which crosses the y-axis at 1 and the x-axis at 3, with shading above the line.
The graph shows a solid line, which crosses the y-axis at 1 and the x-axis at 3, with shading below the line.
The graph shows a dashed line, which crosses the y-axis at 1 and the x-axis at 3, with shading below the line.

please name the correct answers a b c or d

Answer 1

Sure! Here are the correct answers for each question labeled as a, b, c, or d:

1. (C) 250
2. (C) (3, −1)
3. (B) There is one unique solution (−1, −6).
4. (C) $5
5. (B) (−6, −2)
6. (B) The graph shows a line that passes through negative 5 comma 0 and 0 comma 10. There is a second line that passes through 0 comma 2.5 and 5 comma 0. The lines intersect at negative 3 comma 4.
7. (D) The graph shows two lines, which appear as one line.
8. (B) The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading below the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading above the line.
9. (C) Nikhil has been with the company for 24 years, while Mae has been there for 4 years.
10. (C) 60 t-shirts and 48 yearbooks
11. (B) (3, 1)
12. (A) The graph shows a solid line, which crosses the y-axis at negative 2 and the x-axis at 4 thirds, with shading above the line.
13. (C) (3, 8)
14. (B) 25 paintings and 80 bracelets
15. (C) The graph shows a solid line, which crosses the y-axis at 1 and the x-axis at 3, with shading below the line.

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