Final answer:
To add the expressions (7v+2) and (4v+8), combine like terms by adding coefficients of the variables and constants. The final simplified expression is 11v + 10.
Step-by-step explanation:
To add the expressions (7v+2) and (4v+8), we combine like terms. Combining like terms means adding the coefficients (numerical parts) of the variables that are the same, and then adding the constants (numbers without variables). Here's how to do it step by step:
- First, identify the like terms in both expressions. In this case, 7v and 4v are like terms because they both contain the variable 'v'. The numbers 2 and 8 are also like terms because they are both constants.
- Next, add the coefficients of the like terms. For the variables, add 7v and 4v which gives 11v.
- Then, add the constants together. Adding 2 and 8 gives us 10.
- Now, write down the combined terms to get the simplified expression. So, (7v+2)+(4v+8) becomes 11v + 10.
The final answer to (7v+2)+(4v+8) is 11v + 10.