What is the simplified form of the expression 7y - 4 + 5 + 2y?

What is the simplified form of the expression 7y - 4 + 5 + 2y?

• A. 9y + 4
• B. 9y + 1
• C. 7y + 1
• D. 12y + 1

Answer: (B)

To find the simplified form of the expression 7y - 4 + 5 + 2y, start by combining like terms. Like terms in this context are the terms that contain the variable y and the constant terms. First, identify the like terms in the expression: - The terms with y are 7y and 2y. To combine these, add their coefficients: 7 + 2 = 9. This gives us 9y. - The constant terms are -4 and +5. To combine these, add them: -4 + 5 = 1. Now, combine both results: The combined like terms give us 9y from the y terms and +1 from the constant terms. Therefore, when combined, the entire expression simplifies to 9y + 1, which is the correct answer. This process demonstrates the importance of grouping and combining like terms to simplify algebraic expressions effectively. Understanding this step-by-step approach helps in mastering algebraic simplification.

To find the simplified form of the expression 7y - 4 + 5 + 2y, start by combining like terms. Like terms in this context are the terms that contain the variable y and the constant terms.

First, identify the like terms in the expression:

• The terms with y are 7y and 2y. To combine these, add their coefficients: 7 + 2 = 9. This gives us 9y.

• The constant terms are -4 and +5. To combine these, add them: -4 + 5 = 1.

Now, combine both results:

The combined like terms give us 9y from the y terms and +1 from the constant terms. Therefore, when combined, the entire expression simplifies to 9y + 1, which is the correct answer.

This process demonstrates the importance of grouping and combining like terms to simplify algebraic expressions effectively. Understanding this step-by-step approach helps in mastering algebraic simplification.