How Many Solutions?

Front

What is the definition of one solution?

Back

Only this ONE solution will make the equation true.

Front

What is the definition of no solution?

Back

No matter what constant is substituted in for the variable, the equation will NEVER be true.

Front

What is the solution to the equation 3c + 1 = 1 + 3c?

Back

Infinite solutions.

Front

What is the solution to the equation 2x + 3 = 2x + 5?

Back

No solution.

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions.

Front

What does it mean if an equation has infinite solutions?

Back

The equation is true for all values of the variable.

Front

What is an example of an equation with no solution?

Back

x + 2 = x + 5.

Front

What is the definition of infinitely many solutions?

Back

There are countless values that satisfy the equation.

Front

How can you determine if an equation has one solution?

Back

If you can isolate the variable to find a single value.

Front

What is the significance of the equation 0 = 0?

Back

It indicates infinite solutions.