One Solution, No Solution, Infinite Solutions

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can make the equation true.

Front

What does it mean if an equation has one solution?

Back

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

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value for the variable will satisfy the equation, making it always true.

Front

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

Back

No solutions.

Front

Solve: 2x + 1 = 2x - 1

Back

No solutions.

Front

Solve: 6x + 9 - x = 3x + 9 + x

Back

No solutions.

Front

Solve: 3r - 5 = 2r

Back

r = 5.

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 no solution?

Back

2x + 3 = 2x + 5.

Front

What is an example of an equation with one solution?

Back

x - 4 = 2.