Student Tutorial: Equations Concepts: Definitoins

Instructions:

Study these equations definitions.

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Equation. A mathematical statement that says two expressions are equal to each other. Equations can be true or false.

Equality. A mathematical statement in which two expressions are equal.

“Not Equal To” Sign. The symbol used to indicate that two expressions are not equal. The result is an inequation.

Equivalent Equations. Changing an equation, but maintaining the equality, by operating on both sides of the equation.

True Equation. A mathematically accurate equation. If variables are involved, the true equation is for the values of the variable that make the equation true.

False Equation. A mathematically inaccurate equation. If variables are involved, there are no values of the variable that make the equation true.

Conditional Equation. An equation that is true for certain values of the variable(s).

Identity Equation. A special type of equation that is true for all values of the variable(s). While the equals sign can be used, identities also use this symbol.

Inequation. A mathematical statement that shows two expressions are not equal to each other. This includes inequalities.

Addition Property of Equality. The property that allows the addition of the same quantity to each side of an equation while maintaining the equality.

Subtraction Property of Equality. The property that allows the subtraction of the same quantity from each side of an equation while maintaining the equality.

Division Property of Equality. The property that allows division by the same quantity to each side of an equation while maintaining the equality.

Multiplication Property of Equality. The property that allows the multiplication of the same quantity to each side of an equation while maintaining the equality.

Reflexive Property of Equality. The property that states that a quantity is equal to itself.

Symmetric Property of Equality. The property that states that an equation can be written two ways, with both sides interchanged.