Systems of Equations Unit Review

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

Solve the system.

• No solutions

• Infinitely many solutions

• Cannot be determined.

While shopping, Casey bought a total of 18 pieces of clothing. Pants cost $17.00 and shirts cost $12.50. Casey spent $288 for all the clothing purchased. Which system of equations could be used to solve for the number of pants (p) and the number of shirts (s) bought?

• p + s = 288

  17p + 12.5s = 18

• p + s = 18

  12.5p + 17s = 288

• p + s = 18

  17p + 12.5s = 288

• ps=18

  29.5ps=288

• (3,1)

• (1,3)

• (-3,1)

• (3,-1)

Which graph shows a system of equations with no solution?

• 
• 
• 
• 

How many solutions does the following system have:

• one

• none

• infinite

• No Solution

• Infinitely Many Solutions

• One Solution; (6,2)

• One Solution; (3,0)

Which point satisfies both equations?

• (1,6)

• (3,14)

• (2,2)

• (2,6)

Is the systems: y = -4x+2 and y = x - 3 the correct equations for the graph?

• yes

• no