Lesson 8.1a: Solving Systems of Linear Equations by Graphing

Lesson 8.1a: Solving Systems of Linear Equations by Graphing

CCSS—8.EE.8a

Open Ended

OPENING ASSESSMENT:

Tell whether each equation has one, zero, or infinitely many solutions.

1) 5(x - 3) + 6 = 5x - 9 ______________

2) 5(x - 3) + 6 = 5x -10 ______________

3) 5(x - 3) + 6 = 4x + 3 ______________

One Solution

• The two lines intersect (touch) at ONE POINT

• Your answer should be an ordered pair (x, y)

No Solution

• The two lines NEVER intersect (touch)

• 
  

Infinitely Many Solution

• The equations are on SAME LINE Your answer should be an ordered pair (x, y)

Multiple Choice

How many solutions will this system have?

• infinitely many solutions

• one solution

• no solution

• 2

Multiple Choice

How many solutions will this system have?

• no solution

• infinitely many solutions

• one solution

Multiple Choice

How many solutions will this system have? (Hint: There is a pink line and a blue line, one on top of the other.)

• infinitely many solutions

• one solution

• no solution

Fill in the Blank

What is the solution?

** Write it as an ordered pair such as: (-x,y)

Poll

How confident are you able to identify how many solutions a graph has?

• I'm an expert

• I'm getting there

• I'm clueless and did not use any resources to help me