Solving Equations with Special Cases

Solve the equation and state if it has one, many, or no solutions.

10x - 9 = 2x + 63

• x = 9, one solution

• x = 8, one solution

• Many Solutions

• No solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the equation and state if it has one, many, or no solutions.

11x - 5 = 8x + 31

• x = 12, one solution

• x = 9, one solution

• Many Solutions

• No solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the equation and state if it has one, many, or no solutions.

9y + 2 = 3(3y + 2) - 4

• One solution

• Many Solutions

• No Solution

Tags

CCSS.8.EE.C.7A

Solve the equation and state if it has one, many, or no solutions.

3(2x - 8) = 2(3x - 12)

• One solution

• Many Solutions

• No Solution

Tags

CCSS.8.EE.C.7A

Solve the equation and state if it has one, many, or no solutions.

5(3x - 6) = 3(5x - 10)

• One solution

• Many Solutions

• No Solution

Tags

CCSS.8.EE.C.7A

Solve the equation and state if it has one, many, or no solutions.

2(x - 8) = 7 + 2x

• One solution

• Many Solutions

• No Solution

Tags

CCSS.8.EE.C.7A

Solve the equation and state if it has one, many, or no solutions.

4(r + 2) - 3 = 4r - 11

• One solution

• Many Solutions

• No Solution

Tags

CCSS.8.EE.C.7A

Solve the equation and state if it has one, many, or no solutions.

3(x - 11) = 5 + 3x

• One solution

• Many Solutions

• No Solution

Tags

CCSS.8.EE.C.7A

For the equation 3(10x + 5) = 30x + n, which value of n will create an equation with infinitely many solutions?

• n = 5

• n = 10

• n = 15

Tags

CCSS.8.EE.C.7A

Complete the equation so it has one solution of x = 3:

2(5x - 7) = 2x + _____

• The missing value is 2

• The missing value is 14

• The missing value is 10

Tags

CCSS.8.EE.C.7A