Based on Piaget's stages of cognitive development, a preadolescent at the concrete operational stage would most likely be able to

A preadolescent in the concrete operational stage, according to Piaget’s theory of cognitive development, primarily engages in logical thinking about concrete objects and events. This stage typically occurs between the ages of 7 and 11 years, and is characterized by abilities such as understanding the concept of conservation, being able to classify objects, and performing operations that are concrete rather than abstract.

The ability to make inferences from observation aligns well with the cognitive skills developed during this stage. Preadolescents can logically connect known facts and experiences to draw conclusions about their immediate environment. They can reason about physical, tangible items and use deductive reasoning based on those tangible experiences.

In contrast, interpreting the theme of a play (which would require abstract thinking and an understanding of symbolism) is more aligned with the formal operational stage, where individuals can think abstractly and hypothetically.

Solving algebraic equations also requires a higher level of abstract reasoning and manipulation of symbols that typically develops in the later stages of cognitive development (the formal operational stage), which usually begins around age 12.

Learning words in a second language, while beneficial and certainly achievable, doesn't specifically correspond to cognitive skills outlined by Piaget in the concrete operational stage, as it involves more complex abstract thinking