Writing systems of linear equations (A.2I)

The Maplewood Symphony Orchestra sold 146 tickets and collected a total of $1036 in ticket sales. Admission was $5 for children and $8 for adults. Write two equations that would be used to solve the system.

• c+a=146

  5c+8a=1036

• c-a=146

  8c+5a=1036

• c+a=1036

  8c+5a=146

• c+a=146

  5c-8a=1026

The manager of a movie theater wants to know the number of adults and children who go to the movies. The theater charges $8 for each adult and $4 for each child. At a showing where 200 tickets were sold, the theater collected $1304. Write two equations that would be used to solve the system.

• a+c=1304

  8a+4c=200

• a+c=200

  4a+8c=1304

• a+c=200

  8a+4c=1304

• a-c=200

  4a+8c=1304

J. P. is thinking of two numbers. The sum of the numbers is 163, and their difference is 33. Write two equations that would be used to solve the system.

• x+y=33

  x+y=163

• x+y=163

  x-y=33

• x-y=33

  x-y=163

• x+y=33

  x-y=163

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

• 4x + 6y = 3

  13.5x - 13y = 6

• x + y = 4

  x - y = 6

• 4x + 6y = 13

  3x + 7y = 13.5

• 4x - 6y = 13

  3x - 7y = 13.5

• a + s = 100

  10a + 15s = 1300

• 5a + 4s =115

  a + s = 26

• y = 0.5x + 2

  x = 1

• y = -4

  y = -4x + 2

• a + s = 100

  10a + 15s = 1300

• 5a + 4s =115

  a + s = 26

• y = 0.5x + 2

  x = 1

• y = -4

  y = -4x + 2

Which system of linear equations represents the graph shown?

• y=3x+1 and y=x+3

• y=-x-3 and y=x-1

• y=1/3x-1 and y=x-3

• y=x-1 and y=3x-3

Which system of linear equations is shown on the graph?

• y= 4x-2 and y=1/4x-2

• y=-1/4x-2 and y=-4x-2

• y=1/4x-2 and y=-4x-2

• y=-1/4x-2 and y=4x-2

Which system of equations is represented by lines q and v?

• 21x - y = 9

  5x + 6y = 40

• 3x - y = -27

  x + 2y = 16

• 21x - y = 9

  5x + 6y = 20

• 9x - y = -27

  x + 2y = 8

Which system of equations is represented by the tables?

• y = ^-1/₂x + 6

  y = ⁴/₃x - 12

• y = ¹/₂x + 6

  y = ⁴/₃x - 12

• y = ^-1/₂x + 6

  y = ³/₄x - 12

• y = -2x + 6

  y = ⁴/₃x + 9