Linear Systems

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

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

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

• intersecting lines
• parallel lines
• one line

Tags

CCSS.8.EE.C.8A

What does it mean if a linear system has one solution?

• The lines intersect at one point
• The lines do not intersect
• The lines intersect at many points

Tags

CCSS.8.EE.C.8A

Solve the system of equations.

x + 2y = -3

x - y = -12

• (-9, 3)

• (-7 ,5)

• (3, 15)

• (9, 6)

Which is a solution to this system?

• (2, 1)
• (-1,2)
• (-5,-7)
• (0,0)

Tags

CCSS.HSA.REI.D.12

The solution to a system of equations is any ordered pair that makes both equations true.

• TRUE

• FALSE

The solution (x, y) to a system of equations is the point where they...?

• cross the y-axis

• Don't touch

• Intersect

• Exist

Match the system of inequalities to the graph.

• y ≥ -x - 1 and y < x + 4
• y < -x - 1 and y ≥ x + 4
• y > -x - 1 and y ≥ x + 4
• y > -x - 1 and y ≥ x + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Solve the system of equations.

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅