Systems of Equations Review

 Is (8,5) a solution to the system of equations?

 $5x-4y=20$  

 $3y=2x+1$  

• Yes 

• No 

Is (5, -2) a solution to the system?

 $x=5$  
 $x+2y=1$  

• Yes

• No

The given system will either have no solution or infinite solutions.

 $3y-3=6x$  
 $y=2x+1$  

• Infinite Solutions

• No Solution

What does the graph of a system with infinite solutions look like?

• The lines are parallel to one another.

• The lines cross one another at only one point.

• The lines are directly on top of one another (looks like one line)

What does the graph of a system with no solution look like?

• The lines are parallel to one another.

• The lines cross one another at only one point.

• The lines are directly on top of one another (looks like one line)

Select the correct graph for the system of equations.

 $y=-3x+4\$  (red)
 $y=3x-2$  (blue)

• 
• 
• 

Solve the system of equations with substitution.

 $x=-3$  
 $2x+3y=6$  

• (7, -3)

• (-3, 4)

• (4, -3)

• (-3, 7)

What is the solution to this system of equations?

• (-7, 0)

• (0, -2)

• (-6, 1)

• (1, -6)

You and your friends decide to fo play mini golf. "Volcano Adventures Mini Golf" asks you to pay $8 for a golf club and ball, then $12 per game. "Exotic Island Mini Golf" asks you to pay $16 for a golf club and ball, then $8 per game.

What is the solution to the system and what does it mean?

• (2, 32) at exactly 2 games of mini golf both places will cost $32.

• (1,20) at 20 days both mini golf places only have 1 person playing.

• (32, 2) at 32 games of mini golf both places will cost the same amount.

Match the graph with the correct system and the correct solution.

• Infinite Solutions
  $y=4x-2$
  $y=-5x-2$
  

• No Solution
  $y=2x-2$
  $y=4x-2$
  

• Infinite Solutions
  $y=2x-2$
  $y=2x+2$
  

• No Solution
  $y=-2x-5$
  $y=-2x+4$