One, None, Infinite Solutions

Front

What does it mean if an equation has 'one solution'?

Back

An equation has 'one solution' if there is exactly one value of the variable that satisfies the equation.

Front

What does it mean if an equation has 'no solutions'?

Back

An equation has 'no solutions' if there are no values of the variable that can satisfy the equation.

Front

What does it mean if an equation has 'infinite solutions'?

Back

An equation has 'infinite solutions' if there are countless values of the variable that satisfy the equation, often because the equation is an identity.

Front

Back

No solutions.

Front

Back

Infinite solutions.

Front

Back

Infinite solutions.

Front

Back

One solution.

Front

Back

Infinite solutions.

Front

What is an identity in mathematics?

Back

An identity is an equation that is true for all values of the variable.

Front

What is a contradiction in mathematics?

Back

A contradiction is an equation that has no solutions, meaning it is false for all values of the variable.