Solving Systems

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form
• Get x by itself
• Compare the slopes of both equations
• Write both equations in standard form

Tags

CCSS.8.EE.C.8B

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

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

What is the solution to this system?

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

Tags

CCSS.8.EE.C.8A

What are the steps for graphing a line?

• 1. Plot y-intercept
  2. count slope ratio plot second point
  3. Draw the line.
• 1. Make a table
  2. Plot slope
  3. Draw line
• 1. Plot two points
  2. Check slope
  3. Draw line
• 1. Draw line
  2. Hope it is right

y = -6x + 5
-2x + y = 5

• (-3, -6)
• (-6, 3)
• (0, 5)
• (-3, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

x = -3y - 8
x - 2y = -3

• (5, -1)
• (-5, 1)
• (-5,-1)
• (1,-5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = 2x + 5
-4x + y = 9

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve -2w + 10 = 56

• 23
• -23
• 33
• -33

Tags

CCSS.7.EE.B.4A

Solve -3 + 2x = -1 

• x = 3
• x = 2
• x = 1
• x = -2

Tags

CCSS.7.EE.B.4A