HA: 8.equations with special solutions

Front

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

Back

The equation is always TRUE when any value is substituted in for the variable.

Front

What is the definition of no solution in an equation?

Back

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

Front

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

Back

Infinitely Many Solutions.

Front

What is a characteristic of equations with no solution?

Back

The left side and right side of the equation represent different constants.

Front

How can you determine 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 general form of an equation with infinitely many solutions?

Back

An equation where both sides can be simplified to the same expression.

Front

What is an example of an equation with no solution?

Back

x + 2 = x + 3.

Front

What does it mean if an equation has a unique solution?

Back

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

Front

How can you identify a unique solution in an equation?

Back

By simplifying the equation to a form where the variable equals a specific number.

Front

What is the significance of the coefficients in an equation?

Back

They determine the relationship between the variables and can affect the number of solutions.