Solving Equations Special Cases

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

3(x - 11) = 5 + 3x

• One solution

• Many Solutions

• No Solution

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

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

Solve the following equation:

9y − 5 = 2y + 9

• y = −2

• y = 2

• infinitely many solutions

• no solutions

Solve the following equation:

3(x − 2) = 3x − 6

• x = 6

• x = −6

• infinitely many solutions

• no solutions

Solve the following equation:

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

• x = −3

• x = 3

• infinitely many solutions

• no solutions

Solve the following equation:

3x + 1 + 2x = 4x − 2 − 7x + 7

• x = 2

• x = ½

• infinitely many solutions

• no solutions

Solve the following equation:

9x + 7 − 5x = 4x − 7

• x = 7

• x = −7

• infinitely many solutions

• no solutions

Solve the following equation:

3x − x + 4 = 4(2x +1)

• no solution

• infinite solutions

• x = 6

• x = 0

Solve the following equation:

3(3x − 6) = 18

• x = 4

• x = −4

• no solution

• infinite solutions