Solving 1-Variable 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:

9y − 5 = 2y + 9

• y = −2

• y = 2

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation:

3(x − 2) = 3x − 6

• x = 6

• x = −6

• 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

Solve the following equation:

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 the following equation:

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 the following equation:

9x + 7 − 5x = 4x − 7

• x = 7

• x = −7

• 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