Solving Equations with Special Cases

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.HSA.REI.B.3

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.HSA.REI.D.10

CCSS.HSA.REI.D.11

What does it mean when an equation has no solution?

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

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

• only ONE solution will make the equation true

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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:

3(x − 2) = 3x − 6

• x = 6

• x = -6

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.CED.A.1

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.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

9x + 7 − 5x = 4x − 7

• x = 7

• x = -7

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

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

• x = -3

• x = 3

• infinitely many solutions

• no solutions

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.HSA.REI.A.1

CCSS.HSA.REI.B.3

Who is this?

• Spongebob

• Patrick

• Squidward

• Mr. Krabs