Solving Equations Special Cases

Solve:

5x + 4 = 5x − 3

• x = 4

• x = −3

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation:

4x + 1 = 8x − 3

• x = 1

• x = 2

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation:

6(y + 4) = 6y + 10

• y = 10

• y = 24

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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

Solve the following equation:

4 − 6x − 2= −2(3x − 1)

• no solution

• infinitely many solutions

• x = ⅓

• x = 4

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

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