Question

Identify the Property of Equality that is used in each statement.

If x=2, then 2x = 4.
5= 3a; therefore, 3a = 5.
If T=4, then 5T + 7 equals 27.
If 9 = 4x and 4x = m, then 9 = m.

Answer 1

Explanation:

x = 2. 2(x) = 2(2). 2x= 4. Multiplication Property of Equality (if you have two equals sides and then multiply them by the same quantity both sides will remain equal)

5=3a therefore 3a = 5. Symmetric Property if a=b then b=a

T = 4 => 5T = 20 (Multiplication Property of Equality) => 5T + 7 = 27 (Addition Property of Equality. basically if two sides are equal and you add the same quantity they will remain equal)

Last one is transitive property which states. if a=b and b=c then a=c so in this case a would be 9, b would be 4x and c would be m