One Solution, No Solution, Infinite Solutions

Front

What does 'One Solution' mean in an equation?

Back

It means there is only one value for the variable that makes the equation true.

Front

What does 'No Solution' mean in an equation?

Back

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

Front

What does 'Infinite Solutions' mean in an equation?

Back

It means that any value substituted for the variable will make the equation true.

Front

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

Back

Infinitely Many Solutions

Front

Solve: 12 (x + 3) = 4 (2x + 9) + 5x

Back

x = 0

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

Which equation has no solution? 14 + 12x - 4x = 10 + 8x

Back

14 + 12x - 4x = 10 + 8x

Front

What is an example of an equation with infinite solutions?

Back

x + 2 = x + 2.

Front

What is an example of an equation with one solution?

Back

2x + 3 = 7, where x = 2.

Front

What is the first step to solve an equation?

Back

Isolate the variable on one side of the equation.