2-5 Review of Algebraic Properties of Equality for Geometry

Question 1

Addition property of equality

Answer 1

if any quantity is added to one side of an equation then that quantity must be added to the other side of the equation to keep the equation balanced.

Question 2

subtraction property of equality

Answer 2

if any quantity is subtracted to one side of an equation then that quantity must be subtracted to the other side of the equation to keep the equation balanced.

Question 3

multiplication property of equality

Answer 3

if any quantity is multiplied to one side of an equation then that quantity must be multiplied to the other side of the equation to keep the equation balanced.

Question 4

division property of equality

Answer 4

if any quantity is divided to one side of an equation then that quantity must be divided to the other side of the equation to keep the equation balanced.

Question 5

distribution property of equality

Answer 5

if the sum or difference of two or more quantities are multiplied by a number then the result is always the sum or difference of the product of that number and each quantity

Question 6

substitution property of equality

Answer 6

if one quantity is equal to another quantity then one of those quantity can be replaced by the other quantity and the equation still remains true