System of Equations Solve

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which system of equations can be used to determine s, the number of senior citizen tickets sold and c, the number of children tickets sold?

• 1s + 3c = 38

  2s + 3c = 52

• 3s + 1c = 38

  3s + 2c = 52

• s + c = 38

  s + c = 52

• 3s + 3c = 38

  1s + 2c = 52

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which system of equations could be used to determine the cost of the coffee, c and doughnuts, d?

• 10c + 5d = 14.25

  5c + 10d = 16.50

• 10c + 5d = 16.50

  5c + 10d = 14.25

• c + d = 10

  5c + 10d = 16.50

• c + d = 5

  5c + 10d = 16.50

The length, L , of a rectangle is 8 ft more than 6 times the width,W . The perimeter is 156 ft. Which system of equations best expresses this relationship?

• L+W=156

  L=6W+8

• LW=156

  L=W+6

• L=W+6

  156=2L+2W

• L=6w+8

  156=2L+2W

There are 31 members on the bowling team. There are 3 more girls than twice the number of boys. Which of the following system of equations can be used to find the number of boys, b and the number of girls, g?

• 2b+3=31

  g+31=b

• 2b+3=g

  b+g=31

• 2b-3=g

  b+g=31

• 2g+3=b

  b+g=31

Ted and Bill are selling pies for a school fundraiser. Customers can buy cherry pies and blackberry pies. Ted sold 14 cherry pies and 4 blackberry pies for a total of $160. Bill sold 7 cherry pies and 14 blackberry pies for a total of $308. What is the cost each of one cherry pie and one blackberry pie?

• cherry pie: $19, blackberry pie: $6

• cherry pie: $6, blackberry pie: $19

• cherry pie: $10, blackberry pie: $28

• cherry pie: $28, blackberry pie: $10

What is the solution?

• No solution

• (0, 2)

• (0, -4)

• (3, -3)

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

What is the x-coordinate of the solution to the system of equations?

• 2

• -0.5

• -2

• -3

What is the solution to the system of equations?

• (3, 0)

• (6, 3)

• (4, 1)

• (1, 4)

• 0

• 1

• 2

• Infinitely Many Solutions