Which expression is equivalent to 9.8w + 6.4 + 6.7w – 1.3
21.6w
16.5w + 7.7
21.6
16.5w + 5.1
The correct answer and explanation is:
To solve for the equivalent expression of 9.8w + 6.4 + 6.7w – 1.3, follow these steps:
Step 1: Group like terms
Identify the terms that involve w and the constant terms. The terms involving w are 9.8w and 6.7w, and the constant terms are 6.4 and -1.3.
Step 2: Combine the w terms
Add the coefficients of the w terms: 9.8w+6.7w=(9.8+6.7)w=16.5w9.8w + 6.7w = (9.8 + 6.7)w = 16.5w
Step 3: Combine the constant terms
Add the constant terms: 6.4−1.3=5.16.4 – 1.3 = 5.1
Step 4: Write the final expression
Now combine the simplified w term and the constant term: 16.5w+5.116.5w + 5.1
Thus, the equivalent expression is 16.5w + 5.1.
Conclusion
The correct answer is 16.5w + 5.1. This method of combining like terms allows you to simplify the expression efficiently. Always ensure you group and add/subtract similar terms before combining them into a final expression.