1-2 Number of Solutions Practice

Front

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

Back

It means that any value for the variable will satisfy the equation, resulting in true statements for all values.

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 is an identity in mathematics?

Back

An identity is an equation that is true for all values of the variable involved.

Front

How do you determine if an equation has one solution?

Back

If you can isolate the variable and find a specific value that satisfies the equation, it has one solution.

Front

What is the solution to the equation 5h - 7 = 5(h - 2) + 3?

Back

Infinitely Many Solutions.

Front

What is the solution to the equation 5 + 2(n + 1) = 2n?

Back

The equation has no solution.

Front

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

Back

The solution is all real numbers.

Front

What is the solution to the equation -6 = 6?

Back

No Solution.

Front

What does it mean if an equation simplifies to a true statement like 0 = 0?

Back

It indicates that the equation has 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.