Final answer:
In the algebraic expression 2c + 7e + 1, the statements that are true are: e is a coefficient, 2 is a coefficient, and 2c and 1 are like terms.
Step-by-step explanation:
The following statements are true:
- Statement A: e is a coefficient
- Statement B: 2 is a coefficient
- Statement C: 2c and 1 are like terms
Step-by-step explanation:
A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. In the expression 2c + 7e + 1, both e and 2 are coefficients because they are numbers multiplied by variables (e and c, respectively).
Like terms are terms that have the same variable and exponent. In this expression, 2c and 1 are like terms because they both have the variable c raised to the first power.
Therefore, the correct statements are A, B, and C.