Special Solutions

Front

What is the definition of one solution?

Back

Only this ONE solution will make the equation true.

Front

What does it mean when an equation has no solution?

Back

When solved, the left side of the equation is a number different than the right side of the equation.

Front

What is the definition of infinite solutions?

Back

No matter what constant is substituted in for the variable, the equation is ALWAYS true.

Front

What is the solution to the equations if they are equivalent?

Back

Infinite solutions.

Front

What does it mean when an equation has one solution?

Back

When solved, the left side of the equation is a variable equal to a constant on the right side.

Front

What is a special solution in mathematics?

Back

A solution that meets specific criteria, such as one solution, no solution, or infinite solutions.

Front

How can you identify an equation with no solution?

Back

The left side of the equation will never equal the right side, regardless of the variable's value.

Front

What is an example of an equation with infinite solutions?

Back

2x + 3 = 2x + 3.

Front

What is the significance of the term 'no solution'?

Back

It indicates that there are no values for the variable that will satisfy the equation.

Front

What is the relationship between the coefficients in an equation with infinite solutions?

Back

The coefficients of the variables must be proportional.