Exploring Solutions in Linear Equations

What does it mean when an equation has one solution?

• The equation has multiple answers.

• There is no possible answer to the equation.

• There is exactly one unique answer to the equation.

• The equation can be solved for any number.

How can we identify an equation with no solution?

• When the variables cancel out and leave a false statement.

• When the variables cancel out and leave a true statement.

• When we can solve for the variable directly.

• When the equation has multiple answers.

How do we represent no solution in mathematical notation?

• With a zero crossed out.

• With an infinity symbol.

• With a zero.

• With an X.

What signifies an equation has infinite solutions?

• The variables do not cancel out.

• There is exactly one unique answer.

• The variables cancel out leaving a false statement.

• The variables cancel out leaving a true statement.

What does it mean when an equation's variables cancel out and a true statement remains?

• The equation is unsolvable.

• The equation has infinite solutions.

• The equation has one solution.

• The equation has no solution.

What is the first step in solving an equation according to the video?

• Combine like terms.

• Distribute.

• Isolate the variable.

• Add or subtract terms.

What is the result of combining like terms in the equation 6x - 3x?

• 18x

• -3x

• 3x

• 9x

What does IMS stand for in the context of solutions to equations?

• Integral Mathematical Solutions

• Immediate Mathematical Solutions

• Infinitely Many Solutions

• Infinite Mathematical Sequences

When solving an equation, what does it mean if both sides cancel out but the variable remains?

• The equation has no solution.

• The equation cannot be solved.

• The equation has infinite solutions.

• The equation has one solution.

Before leaving class, what is the students' goal regarding types of solutions?

• To understand only one type of solution.

• To be able to identify all types of solutions by looking at the answers.

• To memorize the steps of solving equations.

• To solve all types of equations.