How Many Solutions?

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 definition of one solution?

Back

Only this ONE solution will make the equation true.

Front

What is the definition of no solutions?

Back

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

Front

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

Back

Infinitely Many Solutions

Front

Solve: 3x - 8 = 3(x - 4) + 1

Back

No Solutions

Front

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

Back

The equation is true for all values of the variable.

Front

What does it mean if an equation has no solutions?

Back

There is no value of the variable that will satisfy the equation.

Front

Solve: 2x + 4 = 2(x + 2)

Back

Infinitely Many Solutions

Front

Solve: x + 3 = x + 5

Back

No Solutions

Front

What is an example of an equation with one solution?

Back

x - 2 = 0 (Solution: x = 2)