Expressions and Equations vocabulary for 6th grade math

Term Definition
Addition Property of Equality If you add the same number to each side of an equation, the two sides remain equal. For any numbers a, b, and c, if a = b, then a + c = b + c. Example: If x = 3, then x + 5 = 3 + 5.
*Associative Property The way in which three numbers are grouped when they are added or multiplied does not change their sum or product.
Example:: (2 + 3) + 4 = 2 + (3 + 4) or (2 x 3) x 5 = 2 x (3 x 5)
coefficient The numerical factor of a term.
*Division Property of Equality If you divide each side of an equation by the same nonzero number, the two sides remain equal.
Division Property of Inequality When you divide each side of an inequality by a negative number, the inequality symbol must be reversed for the inequality to remain true.
equation A mathematical sentence stating that two expressions are equal.
Example: 3 x (7 + 8) = 9 x 5
*equivalent equation Equations that have the same solution.
Inequality An open sentence that uses symbols to compare two expressions with less than, greater than, less than or equal to, greater than or equal to.
*Multiplicative Property of Equality If you multiply each side of an equation by the same nonzero number, the two sides remain equal. For any numbers a, b, and c, if a = b, then a(c) = b(c). Example: If x = 3, then 5x = 3(5).
solution A replacement value for the variable in an open sentence. A value for the variable that makes an equation true. Example: The solution of 12 = x + 7 is 5.
Subtraction Property of Equality If you subtract the same nonzero number from each side of an equation, the two sides remain equal. For any numbers a, b, and c, if a = b, then a – c = b – c.
Example: if x = 3, then x – 2 = 3 – 2.
Multiplicative 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.
Addition Property of Inequality If you add the same number to each side of an inequality, the inequality remains true.
two-step equation An equation having two operations.
two-step inequality An inequality that contains two operations.