Solving Equations Application

A movie theater charges $10 for each adult ticket and $5 for each child ticket. At a showing where 150 tickets were sold, the theater collected $1200. How many child and adult tickets were sold?

• There were 90 adult tickets and 60 child tickets sold.

• There were 60 adult tickets and 90 child tickets sold.

• There were 50 adult tickets and 40 child tickets sold.

• There were 40 adult tickets and 50 child tickets sold.

Tags

CCSS.8.EE.C.8C

Identify the number of solutions for the system of equations: 2x + 3y = 8 and 4x + 6y = 16.

• Infinite solutions

• No solution

• One solution

• Two solutions

Tags

CCSS.8.EE.C.8B

Graph the system of equations: x + y = 5 and 2x - y = 3. Identify the point of intersection.

• (1, 4)

• (2, 3)

• (4, 1)

• (3, 2)

Tags

CCSS.8.EE.C.8B

Solve the system of equations by substitution method: 3x - 2y = 7 and 5x + 4y = 11.

• x = 3, y = -2

• x = 2, y = 3

• x = 5, y = 2

• x = -1, y = 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A movie theater sells adult tickets for $10 each and child tickets for $6 each. If a total of 100 tickets were sold for $800, write a system of equations to represent this scenario and solve for the number of adult and child tickets sold.

• The number of adult tickets sold is 60, and the number of child tickets sold is 40.

• The number of adult tickets sold is 80, and the number of child tickets sold is 20.

• The number of adult tickets sold is 50, and the number of child tickets sold is 50.

• The number of adult tickets sold is 70, and the number of child tickets sold is 30.

Tags

CCSS.8.EE.C.8C

Identify the number of solutions for the system of equations: 3x - 2y = 5 and 6x - 4y = 10.

• No solution

• Two solutions

• Infinite solutions

• One solution

Tags

CCSS.8.EE.C.8B

Graph the system of equations: 2x + y = 4 and x - y = 1. Identify the point of intersection.

• (1, 4)

• (3, 2)

• (5, 1)

• (2, 3)

Tags

CCSS.8.EE.C.8B

Solve the system of equations by substitution method: 4x - 3y = 10 and 2x + y = 5.

• x = 2, y = 1

• x = 5, y = 3

• x = 1, y = 4

• x = 3, y = 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The length of a rectangle is 4 inches more than twice its width. If the perimeter of the rectangle is 38 inches, what is the width?

Tags

CCSS.8.EE.C.7B

Adam, Julius, and Mike volunteered to read to children at a public library. Julius worked two hours less than Mike. Adam worked twice as many hours as Julius. Altogether they worked 58 hours. How many hours did Adam work?

• 20 hours

• 14 hours

• 16 hours

• 28 hours

Tags

CCSS.8.EE.C.7B