Final answer:
Out of the four students, Meredith wrote an algebraic expression (3y-7 + 11z) as it includes numbers, variables, and operations but lacks an equality sign, making it a true expression rather than an equation or inequality.
Step-by-step explanation:
The term algebraic expression refers to a mathematical phrase that can include numbers, variables, and operation symbols, but it does not contain an equality or inequality sign, as those would make it an equation or inequality, respectively. Analyzing the given students' writings:
- Robert wrote an inequality, not an algebraic expression, as it contains the '>' symbol.
- Meredith wrote: 3y-7 + 11z, which is an algebraic expression because it lacks an equality or inequality sign.
- Steven wrote an equation because of the presence of the '=' sign.
- Cynthia wrote what appears to be an equation, but since it simplifies to a statement of fact (14 = 14), it could also be considered a tautology rather than an algebraic expression.
Thus, Meredith wrote an algebraic expression as it is the only one that fits the definition correctly.
It is important to treat equations and expressions as sentences that express concepts precisely, not just as formulas to memorize. When dealing with expressions and equations, one should strive to simplify the algebra when possible and always check to see if the answer is reasonable.