Systems of Equations

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

What is the solution to this system of equations?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

What is the solution to this system of equations?

• (2, -1)

• (-1, 2)

• (-2, 1)

• (1, -2)

What is the solution to this system of equations?

• (2, 0)

• (-2, 0)

• (0, 2)

• (0, -2)

What is the solution to this system of equations?

• (-3, 0)

• (0, 3)

• (3, 0)

• (0, -3)

What is the solution to this system of equations?

• (-1, -2)

• (-1, 2)

• (1, 2)

• (1, -2)

If a system of linear equations has one solution, what does this mean about the two lines?

• The lines are parallel.

• The two lines are actually the same line.

• The lines intersect.

The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales, the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior tickets and 5 student tickets. Which system of equation listed below could be used to solve the price of each senior and student ticket?

• 4c + 5s = 102

  7c + 5s = 126

• 7c + 5s = 102

  4c + 5s = 126

• 4c - 5s = 102

  7c - 5s = 126

• 7c - 5s = 102

  4c - 5s = 126

A hotel offers two activity packages. Package A costs $192 and includes 3 hours of horseback riding and 2 hours of parasailing. Package B costs $213 and includes 2 hours of horseback riding and 3 hours of parasailing. Which system of equations below could be used to solve for the price of each hour of horseback riding and parasailing?

• 3h + 3p = 192

  2h + 2p = 213

• 2h - 2p = 192

  3h - 3p = 213

• 3h - 2p = 192

  2h - 3p = 213

• 3h + 2p = 192

  2h + 3p = 213

Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50. Which system of equations below represents how you could find the cost of each mango and apple?

• 5m + 3a = 18

  3m + 8a = 14.50

• 5m + 8a = 18

  3m + 3a = 14.50

• 8m + 3a = 18

  3m + 5a = 14.50

• 8m + 5a = 18

  3m + 3a = 14.50