Systems of Equations Practice-PRIME

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

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. Which system of equations solves this problem to show how many students were in each van and each bus?

• 11v + 3b = 283

  12v + 14b = 770

• v + b = 14

  v + b = 16

• 11v + 12v = 283

  3b + 14b = 770

• v + b = 30

  23v + 17b = 1053

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740
• S + A = 530
  4S + 3A = 1740
• S + A = 1740
  3S + 4A = 530
• S + A = 1740
  4S + 3A = 530

• (2, -2)
• (2, 2)
• (-2, 2)
• (-2, -2)

• Infinitely Many Solutions
• No Solution

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

• (3,-9)
• (-3,-9)
• (-3,9)
• (0,1)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)

Solve  the system of equations.  
   x + 5y = -27
-2x - 5y = 24

• (3, 6)
• (-3, -6)
• (-3, -4)
• (3, -6)

Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2

• Substitution
• Elimination
• Graphing
• None of these