Equations with Many Solutions and No Solutions

How many solutions does this equation have?  3x -70 = 3x + 80

• One Solution

• No Solution

• Infinite Solutions

Tags

CCSS.8.EE.C.7A

How many solutions does this equation have?  -8x = -8x

• One Solution

• No Solution

• Infinite Solutions

Tags

CCSS.8.EE.C.7A

How many solutions to this equation????  3 (10x + 2) = 30x + 6

• One Solution

• No Solution

• Infinite Solutions

Tags

CCSS.8.EE.C.7A

How many solutions does this equation have?  1/2x + 2 = 3x + 2

• One Solution

• No Solution

• Infinite Solutions

Tags

CCSS.8.EE.C.7A

How many solutions does this equation have?
-1/2 (4x + 2) = -2x + 2

• One Solution

• No Solution

• Infinite Solutions

Tags

CCSS.8.EE.C.7A

2y − 3 = 2y − 3

• y = 0

• y = -3

• infinitely many solutions

• no solutions

Tags

CCSS.8.EE.C.7A

3(x − 2) = 3x − 6

• x = 6

• x = -6

• infinitely many solutions

• no solutions

Tags

CCSS.8.EE.C.7A

What does it mean when an equation has infinitely many solutions?

• "To infinity and beyond"

• the equation is always TRUE when any value is substituted in for the variable

• the equation will NEVER be true when any value is substituted in for the variable

• only ONE solution will make the equation true

Tags

CCSS.8.EE.C.7A

10x + 3 + 3x = 5x + 1 + 8x + 2

• x = -3

• x = 3

• infinitely many solutions

• no solutions

Solve the equation:
4 - 6x - 2= -2(3x-1)

• no solution

• infinitely many solutions

• x = ⅓

• x = 4

Tags

CCSS.8.EE.C.7A