Which is an example skill within the Algebraic Reasoning category?

• A. Solving systems of equations by graphing.
• B. Evaluating algebraic expressions using substitution and order of operations.
• C. Factoring polynomials.
• D. Interpreting geometric transformations.

Answer: (B)

The main idea here is using variables and rules to compute a value. Evaluating an algebraic expression with substitution and the order of operations shows this directly: you replace each variable with a given number and then perform the operations in the correct order to find the result. For example, if you have 4x − 7 and x = 3, you substitute to get 4(3) − 7 = 12 − 7 = 5. This illustrates how algebraic reasoning works with expressions, variables, and the rules for calculation to determine a number. The other choices involve different tasks—solving systems by graphing focuses on finding where equations intersect, factoring polynomials is about rewriting expressions as products, and interpreting geometric transformations belongs to geometry.