Course 2 Chapter 6 vocabulary (copy)

Equation

A mathematical sentence that contains an equal sign.

Solution

A value for the variable that makes an equation true.

Equivalent equations

Two or more equations with the same solution.

Subtraction Property of Equality

If you subtract the same number from each side of an equation, the two sides remain equal.

Addition Property of Equality

If you add the same number to each side of an equation, the two sides remain equal.

Coefficient

The numerical factor of a term that contains a variable.

Division Property of Equality

If you divide each side of an equation by the same nonzero number, the two sides remain equal.

Addition Property of Inequality

If you add the same number to each side of an inequality, the inequality remains true.

Division Property of Inequality

When you divide each side of an inequality by a negative number, the inequality must be reversed for the inequality to remain true.

Inequality

A mathematical sentence that compares two quantities

Multiplication Property of Equality

If you multiply each side of an equation by the same nonzero number, the two sides remain equal.

Multiplication Property of Inequality

When you multiply each side of an inequality by a negative number, the inequality symbol must be reversed for the inequality to remain true.

Two step equation

An equation having two different operations.

Two-step inequality

An inequality that contains two operations.

Subtraction property of inequality

If you subtract the same number from each side of an inequality, the inequality remains true.