Combine the terms 4x + 7y - 5y + 3.

• A. 4x + 2y + 3
• B. 4x - 2y + 3
• C. 2x + 2y + 3
• D. 4x + 7y + 3

Answer: (A)

To combine the terms in the expression 4x + 7y - 5y + 3, we first focus on the like terms. Like terms are those that share the same variable part.

In this expression, the terms with the variable y are 7y and -5y. When we combine these terms, we perform the operation 7y - 5y, which equals 2y.

Next, we also have the term 4x, which does not combine with any other term since there are no other x terms present. The constant term is 3, which also stands alone and doesn't combine with any other term.

Putting it all together, we collect all our simplified terms. The final expression is 4x (from the x term) + 2y (combined y terms) + 3 (the constant term). Therefore, the answer is indeed 4x + 2y + 3. This showcases the importance of identifying and combining like terms correctly to simplify expressions in algebra.