One Solution, No Solution, Many Solutions

Front

What does it mean if an equation has 'Many Solutions'?

Back

An equation has 'Many Solutions' when both sides of the equation are identical, meaning any value for the variable will satisfy the equation.

Front

What does it mean if an equation has 'No Solution'?

Back

An equation has 'No Solution' when it leads to a contradiction, meaning there is no value for the variable that can make the equation true.

Front

What does it mean if an equation has 'One Solution'?

Back

An equation has 'One Solution' when there is exactly one value for the variable that satisfies the equation.

Front

Example of an equation with 'Many Solutions': 28a - 4 = 28a - 4. How many solutions does it have?

Back

Many Solutions

Front

Example of an equation with 'No Solution': 6b - 4 = 6b + 4. How many solutions does it have?

Back

No Solution

Front

Example of an equation with 'No Solution': 4y + 5 = 4y - 7. How many solutions does it have?

Back

No Solution

Front

Example of an equation with 'Many Solutions': 3z + 7 = 7 + 3z. How many solutions does it have?

Back

Many Solutions

Front

What is the first step to determine the number of solutions for an equation?

Back

Simplify both sides of the equation to see if they are equivalent.

Front

If you simplify an equation and get a true statement like '0 = 0', what does that indicate?

Back

It indicates that the equation has 'Many Solutions'.

Front

If you simplify an equation and get a false statement like '5 = 3', what does that indicate?

Back

It indicates that the equation has 'No Solution'.