How Many Solutions?

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 definition of one solution?

Back

Only this ONE solution will make the equation true.

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 does it mean if an equation has no solution?

Back

The equation has no values for the variable that will satisfy it.

Front

What does it mean if an equation has one solution?

Back

There is exactly one value for the variable that satisfies the equation.

Front

What does it mean if an equation has infinite solutions?

Back

Any value for the variable will satisfy the equation.

Front

Solve the equation: 2x + 3 = 2(x + 1) + 1. What type of solution does it have?

Back

Infinite solutions.

Front

Solve the equation: x + 5 = x + 2. What type of solution does it have?

Back

No solution.

Front

Solve the equation: 3x - 4 = 2x + 1. What type of solution does it have?

Back

One solution.

Front

What is an example of an equation with no solution?

Back

x + 2 = x + 5.