How Many Solutions?

Front

What is the solution to the equation 6n - 1 = n + 3?

Back

one

Front

What is the solution to the equation 4x + 2 = 4x - 2?

Back

no solution

Front

What is the solution to the equation 2x + 1 = 2x - 1?

Back

none

Front

What is the solution to the equation 3x + 15 = 3(x + 5)?

Back

Infinite

Front

What does it mean if an equation has one solution?

Back

It means there is exactly one value that satisfies the equation.

Front

What does it mean if an equation has no solution?

Back

It means there is no value that can satisfy the equation.

Front

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

Back

It means there are countless values that satisfy the equation.

Front

How can you determine if an equation has no solution?

Back

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

Front

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

Back

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

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation.