How Many Solutions?

Front

What does it mean if an equation has no solutions?

Back

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

Front

What does it mean if an equation has infinite solutions?

Back

It means that there are countless values of the variable that can satisfy the equation, often because the equation simplifies to a true statement.

Front

What does it mean if an equation has one solution?

Back

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

Front

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

Back

No solutions.

Front

Solve: 3x - 7 = 3(x - 3) + 2

Back

Infinite solutions.

Front

Solve: 2x + 1 = 2x - 1

Back

No solution.

Front

Solve: 3c + 1 = 1 + 3c

Back

Infinite solutions.

Front

What is the solution to the equation 5x + 2 = 5x + 3?

Back

No solution.

Front

What is the solution to the equation 4x - 5 = 4x - 5?

Back

Infinite solutions.

Front

What is the first step in solving an equation?

Back

Isolate the variable by performing inverse operations.