Final answer:
The terms in the algebraic expression 9 + 7y - 2 - 5y are simplified by combining like terms, resulting in the simplified expression 7 + 2y. Like terms, coefficients, and constant terms are identified, and after simplification, the answer is checked for reasonableness.
Step-by-step explanation:
The algebraic expression given is 9 + 7y - 2 - 5y. In this expression, terms are the individual elements that are either added or subtracted, which means 9, 7y, -2, and -5y are the terms. The like terms are terms that contain the same variable raised to the same power, so in this case 7y and -5y are like terms. The coefficients are the numerical factors that multiply the variables, which means 7 and -5 are the coefficients in front of the variable y. Lastly, constant terms are the terms without variables, which are 9 and -2 in this expression.
To simplify the algebra, we combine the like terms, which gives us:
- Combine 7y and -5y to get 2y.
- Combine 9 and -2 to get 7.
The simplified expression is therefore 7 + 2y. After simplifying, it is vital to check if the answer is reasonable by ensuring all like terms have been properly combined and that no mathematical errors have been made.