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

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

Back

Infinitely Many Solutions

Front

What is the solution to the equations?

Back

Infinite solutions

Front

What is the solution to this equation?

Back

No solution

Front

Solve: 3(x-2) + 1 = 3x - 5

Back

Infinite Solutions

Front

What does it mean if an equation has no solution?

Back

There are no values for the variable that will make the equation true.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed.

Front

What is the difference between one solution and infinite solutions?

Back

One solution means there is exactly one value for the variable; infinite solutions mean any value for the variable will satisfy the equation.

Front

What is a contradiction in equations?

Back

An equation that has no solution, often resulting in a false statement.

Front

What is a dependent equation?

Back

An equation that has infinite solutions, as it represents the same line.