Write Systems of Equations

Determine the system of linear equations that is represented on this graph.

• y = 2x + 3
  y = 5x + 1
• x = 1.5
  y = 6.5
• y = 2
  y = 5
• y = x + 5
  y = 3x + 2

Tags

CCSS.8.EE.C.8B

What is the solution to the system graphed, represented by the equations y = x + 5 and

y = 3x + 2?

• (3, 2)

• (1, 5)

• (1.5, 6.5)

• (6.5, 1.5)

Write the system of equations represented by the table.

• y = -x - 7
  y = -2x - 1
• y = x + 7
  y = 2x + 1
• y = -x + 7
  y = 2x + 1
• y = -x + 7
  y = -2x + 1

The system of equations represented by the table is y = -x + 7 and y = 2x + 1. Extend the table to determine the solution to the system.

• (2, 5)

• (5, 2)

• (0, 7)

• (7, 1)

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Which system could be solved to determine the number of adult tickets (a) and student tickets (s) purchased?

• a+s=52.75
  5.5a+7.25s=8
• a + s = 8
  5.5a+7.25s=52.75
• a + s = 52.75
  7.25a+5.5s=8
• a + s = 8
  7.25a+5.5s=52.75

Tags

CCSS.HSA.CED.A.3

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75, as represented by the system a + s = 8

7.25a+5.5s=52.75. How many adult tickets (a) and student tickets (s) were purchased?

• 3 adult tickets and 5 student tickets

• 4 adult tickets and 4 student tickets

• 5 adult tickets and 3 student tickets

• 6 adult tickets and 2 student tickets

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

• c + s = 6
  14c + 17s = 99
• c + s = 99
  14c + 17s = 6
• c + s = 6
  17c + 14s = 99
• c + s = 99
  17c + 14s = 6

Tags

CCSS.HSA.CED.A.3

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. This scenario can be represented by the system c + s = 6

14c + 17s = 99.

• 5 order chicken and 1 orders steak.

• 1 orders chicken and 5 order steak.

• 3 orders chicken and 3 order steak.

• 2 orders chicken and 4 order steak.