How Many Solutions?

Front

What is the definition of a solution in an equation?

Back

A solution is a value or set of values that satisfies an equation, making it true.

Front

What does it mean if an equation has no solution?

Back

It means there are no values that can be substituted into the equation to make it true.

Front

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

Back

It means there are countless values that can satisfy the equation, often occurring when both sides of the equation are equivalent.

Front

Solve: 2x + 4 = 2(x + 2)

Back

Infinitely Many Solutions

Front

Solve: 5x - 10 = 5(x - 2)

Back

Infinitely Many Solutions

Front

What is the result of the equation 4x + 8 = 4(x + 2)?

Back

Infinitely Many Solutions

Front

Solve: 6x + 12 = 6(x + 2)

Back

Infinitely Many Solutions

Front

What does it mean if an equation simplifies to a false statement, like 0 = 5?

Back

It indicates that the equation has no solution.

Front

Solve: 3x + 1 = 3x + 2

Back

No Solution

Front

Solve: 7x - 14 = 7(x - 2)

Back

Infinitely Many Solutions