one, none, infinitely many solutions

Front

What does it mean if an equation has one solution?

Back

There is exactly one value for the variable that makes the equation true.

Front

What does it mean if an equation has no solution?

Back

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

Front

What does it mean if an equation has infinitely many solutions?

Back

There are an infinite number of values for the variable that make the equation true.

Front

Solve: 3r - 5 = 2r

Back

r = 5

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

What is an example of an equation with no solution?

Back

x + 2 = x + 3 (This simplifies to 2 = 3, which is false.)

Front

What is an example of an equation with infinitely many solutions?

Back

2(x + 1) = 2x + 2 (This simplifies to 2 = 2, which is always true.)

Front

How can you tell if an equation has no solution?

Back

If simplifying the equation leads to a false statement, such as 0 = 5.

Front

How can you tell if an equation has infinitely many solutions?

Back

If simplifying the equation leads to a true statement, such as 0 = 0.

Front

What is the first step in solving an equation?

Back

Isolate the variable on one side of the equation.