Systems of Equations - Graphing & Special Cases

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Tags

CCSS.8.EE.C.8B

Is the point (0, 4) a solution to the equation 3y = 2x - 12?

• No, because $12\ne-12$ 

• Yes, because  $12=12$ 

• Yes, because  $-12=-12$ 

• No, because it is in point - slope form.

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Tags

CCSS.8.EE.C.8A

Is the point (2, -4) a solution to the equation 2x - 3y = 16?

• No, because $8\ne16$

• Yes, because $16=16$

• No, because $-14\ne16$

• Yes, because it is in slope-intercept form.

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Tags

CCSS.8.EE.C.8B

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

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.8.EE.C.8A

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

Tags

CCSS.8.EE.C.8A

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

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

Tags

CCSS.8.EE.C.8A

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

• Intersecting lines
• Same line
• Parallel lines

Tags

CCSS.8.EE.C.8A

Graph both equations. What point do they intersect at?
y = x
y = -x

• (1, 1)
• (0, 0)
• (2, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6