Evaluate algebraic expressions correctly using substitution and order of operations.
Choose a valid first step and evaluate
Problem
Evaluate \(3(x~-~2)~+~4\) for \(x~=~-1\). Which \(\text{first}~\text{step}\) substitutes the value correctly? Choose it, then finish evaluating the expression.
A. \(3((-1)~-~2)~+~4\) B. \(3(-1)~-~2~+~4\) C. \(3(-1~-~2~+~4)\)
Big Picture
What this problem is really about
A valid first step replaces x inside the existing parenthesized difference while leaving the outside factor and separate constant where they began. Compare each candidate by that structural test before doing arithmetic. Continue from the preserved form by simplifying the parentheses, multiplying, and finally adding the outside constant.
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.
