Final answer:
The terms in an expression are the separated parts that are either constants, variables, or a combination of both. In the list provided, '5', '-7x3', '1', 'x', and '2' would typically be considered terms within the context of algebraic expressions, when -7x3 is considered as -7 times x to the third power.
Step-by-step explanation:
The terms in an expression are the parts of the expression that are separated by plus signs (+) or minus signs (-). Given a list of options, we need to choose which among them are terms in an algebraic expression. For instance:
- a (5) is a term since it stands alone as a constant.
- b (5x4) would be considered as a term if it meant 5 times x to the fourth power (5x^4), but not as it is literally written as a multiplication of two numbers.
- c (-7x3) is a term if it is interpreted as -7 times x to the third power (-7x^3).
- d (1) is a stand-alone constant and is therefore a term.
- e (x) is a variable and is a term.
- f (2) is a constant and thus a term.
However, it's important to clarify the context as in the case of option b (5x4), as it could be interpreted differently depending on its intended representation in algebraic form.
Moreover, when simplifying an expression, any unnecessary terms should be eliminated, and it's always good practice to check the reasonableness of the answer.