Special Cases

Solve:

5x + 4 = 5x − 3

• x = 4

• x = -3

• infinitely many solutions

• no solutions

Tags

CCSS.8.EE.C.7A

Solve:

2y − 3 = 2y − 3

• y = 0

• y = -3

• infinitely many solutions

• no solutions

Tags

CCSS.8.EE.C.7A

Solve:

4x + 1 = 8x − 3

• x = 1

• x = 2

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

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

• x = -3

• x = 3

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

3x + 1 + 2x = 4x − 2 − 7x + 7

• x = 2

• x = ½

• infinitely many solutions

• no solutions

Tags

CCSS.8.EE.C.7A

What does it mean when an equation has one solution?

• 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

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

• Infinitely Many

• No Solution

• x = -1

• x = 1

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• infinitely many

• no solution

• v = -1

• v = 1

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Rate your level of understanding for solving equations with one solution, infinitely many solutions, and no solutions.

• I don't understand what to do.

• I somewhat understand, but I need more practice.

• I somewhat understand, but I need additional help.

• I understand what to do and feel confident.

Tags

CCSS.8.EE.C.7A