Systems of Equations

Multiple Choice

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Multiple Choice

Find the solution to the system.
y = x-6
y = -3x + 2

• (0, -6)
• (6, 0)
• (-4, 2)
• (2, -4)

Multiple Choice

What is the solution to the system of equations?

• No Solution

• (2, 0)

• Infinitely Many Solutions

• (0, 2)

Multiple Choice

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Multiple Choice

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Multiple Choice

What is the solution to the systems of equations shown in the graph?

• 1 Solution x=-1/2

• 1 Solution y=-1/2

• Many Solutions

• No Solution

Multiple Choice

The solution to this system is...

• (4, -2)
• (4, 2)
• (-2, 4) 
• (-4, -2)

Multiple Choice

Which equation represents the following graph?

• y = 3x + 2
• y = -2x + 3
• y = 2x + 3
• y = -3x + 2

Multiple Choice

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

• Parallel lines
• the same line 
• Intersecting lines

Multiple Choice

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines
• Same line
• Parallel lines

Multiple Choice

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Multiple Choice

Which system of linear equations has no solution?

Multiple Choice

Which system of equations has one solution?

Multiple Choice

What is the solution to the following system of equations?

• (0,3)

• (-3, 1)

• (1, 3)

• Infinitely Many Solutions

• No Solution

Multiple Choice

What is the solutions to the following system of equations?

• (5,2)

• (2, 5)

• (0,3)

• Infinity Many Solutions

• No Solutions

Multiple Choice

What is the solutions to the following system of equations?

• (0,3)

• (0,0)

• (-3,0)

• Infinity Many Solutions

• No Solution

Multiple Choice

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Multiple Choice

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

Multiple Choice

What is the solution to the system of equations?

• No Solution

• (2, 0)

• Infinitely Many Solutions

• (0, 2)

Multiple Choice

Which term best describes the two lines represented by the equations below?

$$y\ =\frac{2}{3}x\ +5$$  

$$y\ =\frac{2}{3}x\ -3$$  

• same line

• parallel lines

• intersecting lines

Multiple Choice

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

Multiple Choice

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?

• (0, 2)

• (2, 0)

• (2, -2)

• (-2, -2)

• (-2, 2)

Multiple Choice

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution