Determining the Number of Solutions in an Equation

What happens if the variable terms are equal but the constants are not?

• The equation has one solution.

• The equation has no solutions.

• The equation is undefined.

• The equation has infinite solutions.

Which operation must be performed on both sides of an equation to maintain equality?

• Any operation

• Only subtraction

• Only multiplication

• Only addition

If an equation simplifies to 12 = 3, what does this indicate?

• The equation has one solution.

• The equation is incorrect.

• The equation has infinite solutions.

• The equation has no solutions.

What does it mean if an equation simplifies to a variable equal to a constant?

• The equation has one solution.

• The equation has no solutions.

• The equation has infinite solutions.

• The equation is incorrect.

What should you do if you don't recognize a pattern in an equation?

• Ignore the equation.

• Transform or simplify the equation.

• Assume it has no solutions.

• Assume it has infinite solutions.

What is the result when variable terms and constants are equal on both sides of an equation?

• The equation has one solution.

• The equation has no solutions.

• The equation has infinite solutions.

• The equation is incorrect.

What does a true equation like 87 = 87 indicate?

• The equation has one solution.

• The equation has no solutions.

• The equation has infinite solutions.

• The equation is incorrect.