System of Equations Practice

Graph the system of equations: y = 3x - 1 and y = -2x + 4.

• The graph of the system of equations is a circle with a radius of 3 and center at (1, -1).

• The graph of the system of equations is a straight line that intersects the x-axis at (1/3, 0) and the y-axis at (0, -1), and intersects the x-axis at (2, 0) and the y-axis at (0, 4).

• The graph of the system of equations is a parabola that opens upwards.

• The graph of the system of equations is a straight line that intersects the x-axis at (-1/3, 0) and the y-axis at (0, -1), and intersects the x-axis at (4, 0) and the y-axis at (0, 2).

Graph the system of equations: y = 2x + 3 and y = -x + 2.

• The graph of the system of equations is a point at (2, 3).

• The graph of the system of equations is a line with a negative slope.

• The graph of the system of equations is a point at (1, 5).

• The graph of the system of equations is a line with a positive slope.

What is the solution to the linear system?

• (-8, -6)

• (-6, -8)

• (8, -6)

• No solution

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

^{What is the solution to the system?} 

• (1,1)

• -2

• (1, 2)

• (1, -1)

Click on picture for question.

Click on picture for question.

Click on picture for question.

• A

• B

• C

• D

What is the solution for the graph to the systems of equations.

Hint- must be (x,y)

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. 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 + 2y = 315
  3x + 4y = 450