Summary
This video explains how to find equivalent expressions by combining like terms and applying the distributive property. It walks through an example step-by-step.
Highlights
Simplifying the Expression00:00:00
The video starts with the expression x + 2y + x + 2. The first step to simplify is to combine the like terms, which are the 'x' terms.
Combining Like Terms (x + x)00:00:27
By combining 'x' and 'x', the expression becomes 2x + 2y + 2. This is the simplest form of the expression before looking for further equivalent forms.
Applying the Distributive Property00:01:15
The second choice involves factoring out a 2. Since 2 is a common factor in 2x, 2y, and 2, it can be factored out. This results in the expression 2 * (x + y + 1) which matches one of the provided options, making it an equivalent expression.
Checking the Answer Choices00:01:00
The expression 2x + 2y + 2 is then compared to the given choices. The first choice (2x + 4y + 4) is ruled out because it does not match.