Question

Find the sum: (5p + 11) + (8p - 4)

a) 13p - 7
b) 5p + 7
c) 13p + 7
d) 13p + 15

Answer 1

The sum of the algebraic expressions (5p + 11) and (8p - 4) is found by combining like terms, which yields the result 13p + 7. Therefore, the correct answer is c) 13p + 7.

Step-by-step explanation:

To find the sum of the two algebraic expressions (5p + 11) and (8p - 4), we combine like terms. The like terms here are the terms that contain the variable p and the constant terms.

First, we add the coefficients of the p terms:

5p + 8p = 13p

Then, we add the constant terms:

11 - 4 = 7

Combining both results gives us the final sum:

13p + 7

Therefore, the correct answer is c) 13p + 7.