Understanding Special Case Equations

The video tutorial covers special case equations, focusing on three types of solutions: one solution, no solution, and infinite solutions. It provides examples and explanations for each type, demonstrating how to identify them through solving equations. The tutorial concludes with practice problems to reinforce understanding.

What is the characteristic of an equation with one solution?

• It has multiple values that satisfy it.

• It has no values that satisfy it.

• It has exactly one value that satisfies it.

• It has all real numbers as solutions.

In a no solution case, what happens to the variables?

• They cancel out, leaving a true statement.

• They cancel out, leaving a false statement.

• They remain, resulting in a true statement.

• They remain, resulting in a false statement.

What does it mean when an equation has infinite solutions?

• Only positive numbers satisfy the equation.

• Only one specific value satisfies the equation.

• All real numbers satisfy the equation.

• No value satisfies the equation.

In the equation 6x + 12 = 12 + 6x, what type of solution does it have?

• One solution

• No solution

• Infinite solutions

• Two solutions

What is the solution for the equation 29x - 12 = -12?

• x = 1

• x = 2

• x = 0

• x = -1

In the equation -9x = -9x - 15, what type of solution does it have?

• One solution

• Two solutions

• No solution

• Infinite solutions

What does it indicate if an equation simplifies to 9 = 7?

• One solution

• Two solutions

• No solution

• Infinite solutions

What is the solution for the equation 4x = 30 - 2x?

• x = 5

• x = 10

• x = 0

• x = -5

If an equation simplifies to a true statement like 4 = 4, what does it imply?

• One solution

• No solution

• Infinite solutions

• Two solutions

What is the result when variables cancel out and constants differ?

• One solution

• No solution

• Infinite solutions

• Two solutions