Essential Vocaublary-Solving Equations & Special Solutions
No Solution
What it LOOKS LIKE... The equation will have a different value on either side of the equal sign/=.
Infinite Solutions
What it LOOKS LIKE... The equation will have the same value on either side of the equal sign/=.
One Solution
What it LOOKS LIKE... The equation will have the variable on one side of the equation and the constant on the other side.
One Solution
Characteristic: Only ONE number will solve the equation.
One Solution
Characteristic: The variable will equal one number, which can be any real number.
No Solution
Characteristic: There are zero solutions to the equation.
One Solution
Definition: A single value substituted in for the variable (such as x) that makes the equation true.
Infinite Solutions
Definition: Any value substituted in for the variable (such as x) will make the equation true.
No Solution
Definition: No value substituted in for the variable (such as x) will make the equation true; also referred to as a null set.
No Solution
Characteristic: If when solving an equation, the answer is x=y (where x is one value and y is a different value), you will have no answer.
Infinite Solutions
Characteristic: An equation that has identical variable terms and identical constant terms when simplified.
No Solution
Characteristic: An equation that has identical variable terms but different constant terms.
No Solution
Characteristic: An equation that will simplify down to zero equals a non-zero value.
Infinite Solutions
Characteristic: Any real number will solve the equation.
One Solution
Characteristic: If when solving an equation the answer is x=(any real number), you will have only 1 answer.
Infinite Solutions
Characteristic: If when solving an equation the answer is x=x (where x is any value), you will have infinite answers.
