Combine like terms and simplify expressions while preserving structure.
Choose a valid like-term move and simplify
Problem
Simplify \(5x~+~2y~-~3~+~4x~-~y~+~7\). Which \(\text{first}~\text{move}\) combines like terms correctly? Choose it, then simplify the entire expression.
A. Group \(5x\) and \(4x\). B. Combine \(2y\) and \(-3\). C. Combine \(5x\) and \(2y\).
Big Picture
What this problem is really about
Treat each proposed first move as a claim about structure: terms belong together only when their variable parts match exactly. Once a valid grouping is identified, reorganize the entire expression into separate x-term, y-term, and constant groups while keeping every sign attached. Simplifying within those groups preserves the expression's value.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
