Answer:
Answers in order:
Transitive Property
Distribute Property
Symmetric Property
Substitution Property
Reflexive Property
Explanation:
3x = 2y, 2y = z, and 2x = z shows the Transitive Property, since this property says that if a = b and b = c, then a = c.
-7(x - 4) = -7x + 28, shows the Distributive Property, as the -7 was distributed to everything inside the parentheses to get -7x + 28.
-2x + 18 and 18 = -2x shows the Symmetric Property, as changing the sides of the equation does not its truth-value
10x + w = 41 with w = 1 shows the Substitution Property, as we're told that w = 1, allowing us to substitute 1 for w in the equation.
4 = 4 shows the Reflexive Property, which says that any number is equal to itself.