Which of the following demonstrates an understanding of basic algebraic expressions?

The option that demonstrates an understanding of basic algebraic expressions is solving for x in the equation 2x + 3 = 7. This process involves manipulating the equation to isolate the variable x, which is a fundamental skill in algebra. It requires application of operations such as subtraction and division, as well as the ability to understand the concept of equality. This type of reasoning and problem-solving is essential for mastering algebraic expressions, as it involves recognizing how to work with variables and constants to find unknown values.

In contrast, simply memorizing the multiplication table does not involve any algebraic reasoning or manipulation of expressions. Learning to measure objects pertains to practical mathematics rather than the abstract reasoning used in algebra. Lastly, understanding geometric shapes relates to spatial reasoning and geometry, not the algebraic principles outlined in the problem. Therefore, solving for x in the equation is the only choice that reflects a clear understanding of basic algebraic expressions.