One, None, Many Solutions Equation

What is the definition of one solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

What is the definition of no solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

What is the definition of infinite solutions?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

Solve:

• x = -9

• x = 9

• x = -4

• x = 4

Solve the equation:

12x - 15 = 3(2x+3)

• x = 4

• x = -4

• x = 2

• x = -2

Solve:

• x = 8

• x = -8

• x = -7

• x = 7

2(4x-3) - 8 = 4 + 2x

• x = -3

• x = 3

• x = 1

• x = -1

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Solve:

-9 + 3x - 8x = 1 - 6x

• x = -10

• x = 10

• x = 8

• x = -8

Solve:

3 (7 + m) - 6 (1 + m) = 30

• m = -14

• m = -13

• m = -5

• m = 10