Question

Which property does each equation demonstrate?

x2 + 2x = 2x + x2




(3z4 + 2z3) – (2z4 + z3) = z4 + z3




(2x2 + 7x) + (2y2 + 6y) = (2y2 + 6y) + (2x2 + 7x)

Answer 1

1) x^2 + 2x = 2x + x^2
- Commutative property of addition (you can change the order of terms).

2) (3z^4 + 2z^3) − (2z^4 + z^3) = z^4 + z^3
- Distributive property / combining like terms: subtracting the corresponding terms gives (3−2)z^4 + (2−1)z^3 = z^4 + z^3.

3) (2x^2 + 7x) + (2y^2 + 6y) = (2y^2 + 6y) + (2x^2 + 7x)
- Commutative property of addition (order of addition can be swapped).