is Piaget's formal-operational concept that adolescents have the cognitive ability to develop hypotheses, or best guesses, about ways to solve problems, such as an algebraic equation.

Hypothetico-Deductive.

Explanation:

The hypothetico-deductive reasoning is the important concept at the Formal Operational stage, in Piaget's Cognitive Theory of Development. The Formal Operational stage happens between the age of 11-15 or 20 years.

According to this concept, a child tends to reason based on hypothetical thinking of 'what if.' He or she starts forming counterfactual reasoning, that are not based on reality. Such reasoning is especially required in the study of mathematics and science. It involves cognitive ability to form hypotheses.

So, the correct answer, according to the description stated above, is hypothetico-deductive.

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