Flashcard: Multi-Step Equations with One, None or 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 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

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

Front

Solve the equation: 2x - 3 + 4x = 27

Back

x = 5.

Front

Solve the equation: 3x - 4 = 2x + 10 + x

Back

No Solution.

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve.

Front

What is the first step in solving the equation 4x + 2 = 18?

Back

Subtract 2 from both sides.

Front

What is the solution to the equation 5x + 10 = 0?

Back

x = -2.

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 the solution to the equation 2(x - 3) = 2x - 6?

Back

Infinite Solutions.