Solving Systems by Graphing

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

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution?

• (2, 2)
• (3, 2)
• (3, 4)
• (2, 3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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. 

Tags

CCSS.HSF-IF.C.7A

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.8.EE.C.8A

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

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Lisa and Tammy are selling items at the craft show.  Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

• (1, 12)
• (3, 19)
• (5, 25)
• (0, 10)

Tags

CCSS.8.EE.C.8B