Q in description

Question

Which statement is an example of the Addition Property of Equality?

1. If p = q, then p · s = q · s.
2. If p = q, then p + s = q + s.
3. If p = q, then p – s = q – s.
4. p = q

Answer 1

If you give numbers to the values p and q it can be easier to solve.

Say p = 2, therefore if p = q, q must also equal 2

1. By doing p – s = q – s, it is subtraction not addition, so you can eliminate this answer choice.
2. The same thing can be done for p · s = q · s, since it is multiplication.
3. By just stating p = q, there's been no operation that was done, so eliminate this choice as well.
4. Finally p + s = q + s will give you equality on both sides of the equation and show that is it through addition. Therefore If p = q, then p · s = q · s is the correct choice.

Answer 2

1. If p = q, then p + s = q + s.