Question

What are the properties for these equations:

1) (15 * 12x) * y = y * (15 * 12x)
2) 22x * (3 * 4y) = 22x * (4y * 3)
3) If x = 4 and 4 = y, then x = y
4) (7x + 15) + 21 = 7x + (15 + 21)

Answer 1

1. Commutative Property of Multiplication

2. Commutative Property of multiplication

3. Transitive Property of equality

4. Associative Property of Addition

Explanation:

1) (15 * 12x) * y = y * (15 * 12x) a*(b*c) = (b*c)*a

2) 22x * (3 * 4y) = 22x * (4y * 3) a*(b*c) = a*(c*b)

3) If x = 4 and 4 = y, then x = y If a=b and b=c then a=c

4) (7x + 15) + 21 = 7x + (15 + 21) (a+b) +c = a+(b+c)