To determine which statement is an example of the Addition Property of Equality, let's review the properties of equality.
The Addition Property of Equality states that if two quantities are equal, then adding the same amount to both sides of the equation will keep the equation balanced. In simpler terms, if [tex]\( p = q \)[/tex], then adding the same number [tex]\( s \)[/tex] to both [tex]\( p \)[/tex] and [tex]\( q \)[/tex] will result in an equation that remains true.
Let's analyze each statement:
1. Statement 1: "If [tex]\( p = q \)[/tex], then [tex]\( p - s = q - s \)[/tex]."
- This represents the Subtraction Property of Equality, which states that if [tex]\( p = q \)[/tex], then subtracting the same number [tex]\( s \)[/tex] from both sides will still keep the equation balanced.
2. Statement 2: "If [tex]\( p = q \)[/tex], then [tex]\( p + s = q + s \)[/tex]."
- This is a direct example of the Addition Property of Equality. It states that if [tex]\( p = q \)[/tex], then adding the same number [tex]\( s \)[/tex] to both sides of the equation will keep it true.
3. Statement 3: "If [tex]\( p = q \)[/tex], then [tex]\( p \cdot s = q \cdot s \)[/tex]."
- This represents the Multiplication Property of Equality, which states that if [tex]\( p = q \)[/tex], then multiplying both sides by the same number [tex]\( s \)[/tex] will keep the equation balanced.
Upon reviewing the statements, we find that the statement that exemplifies the Addition Property of Equality is:
If [tex]\( p = q \)[/tex], then [tex]\( p + s = q + s \)[/tex].
Therefore, the correct answer is:
2. If [tex]\( p = q \)[/tex], then [tex]\( p + s = q + s \)[/tex].
