Which activity helps practice substitution and order of operations in Algebraic Reasoning?

• A. Using algebra tiles
• B. Drawing geometric shapes
• C. Evaluating algebraic expressions by substitution and order of operations
• D. Memorizing multiplication tables

Answer: (C)

Substitution and order of operations are all about evaluating expressions by plugging numbers in for the variables and then carrying out the math in the correct sequence. The best activity for this is evaluating algebraic expressions by substitution and using the order of operations, because it directly requires you to substitute values into the expression and then follow the rule to perform calculations in the right order (parentheses first, then exponents, then multiplication and division left to right, followed by addition and subtraction). This shows you how changing a variable affects the result and reinforces how to apply the steps consistently.

Using algebra tiles is great for visualizing how parts of an expression fit together and for understanding balancing in equations, but it doesn’t focus on substituting numbers into expressions or applying the order of operations. Drawing geometric shapes isn’t connected to evaluating algebraic expressions. Memorizing multiplication tables helps with basic arithmetic, but it doesn’t practice substitution or the step-by-step evaluation of algebraic expressions.