Problem 69 - Introductory Algebra for College Students

Question

State the addition property of equality and give an example.

Step-by-Step Solution

Answer

The addition property of equality states that if a = b, then a + c = b + c. An example of this would be if we have the equation 3 = 3, and we add 2 to both sides, which will give us 5 = 5.

Step 1: Define the Addition Property of Equality

The addition property of equality states that for any real numbers a, b, and c, if a = b, then a + c = b + c. This property states that adding the same value to both sides of an equation will not change the equality.

Step 2: Give an example

For instance, if we have the equation 3 = 3, and we add 2 to both sides, we will get 3 + 2 = 3 + 2. This simplifies to 5 = 5, which is still a true statement.