How many solutions??

Front

What does it mean if an equation has one solution?

Back

It means there is exactly one value of the variable that satisfies the equation.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless values of the variable that satisfy the equation, often because the equation is an identity.

Front

What does it mean if an equation has no solution?

Back

It means there is no value of the variable that can satisfy the equation, often because the two sides are contradictory.

Front

If X = 0, what type of solution do we have?

Back

One solution.

Front

If 2 = X, what type of solution do we have?

Back

One solution.

Front

If 4 = 8, what type of solution do we have?

Back

No solution.

Front

If -5 = -5, what type of solution do we have?

Back

Infinitely many 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 because it is false for all values of the variable.

Front

How can you determine if an equation has one solution, no solution, or infinitely many solutions?

Back

By simplifying the equation and analyzing the relationship between the two sides.