Types of Systems of Linear Equations

The solution of a system of linear equations is...

• The y-intercept (b)

• The x-intercept

• The slope (m)

• The intersection of the two equations on a graph

If a system of equations has no solution, what does the graph look like? 

• Intersecting lines

• Parallel lines

• Skew lines

• Coinciding lines

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

• Parallel lines

• Coinciding lines

• Intersecting lines

When both lines in a system are identical, the system has __________________.

• Infinite solutions

• One solution

• No solution

• Parallel solutions

What type of system is being described by the graph?

• Consistent Independent

• Inconsistent

• Consistent Dependent

• Parallel system

What type of system is being illustrated in the graph?

• Consistent independent

• Consistent dependent

• Inconsistent

• Parallel system

Give the solution of the given graph.

• (2, 1)

• (1, 2)

• (2, 4)

• (4, 2)

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes
• no

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. She also knows finds that giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

• 3x + 2y = 315

  2x + 4y = 450

• 3x + 2y = 450

  2x + 4y = 315

• 2x - 3y = 450

  4x - 2y = 315

• 3x - 2y = 315

  2x - 4y = 450

There are 50 donkeys and chickens on a farm.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174

  4d + 2c = 50

• d + c = 50

  4d + 2c = 174

• d + c = 50

  2d + 4c = 174

• d + c = 174

  2d + 4c = 50