Question

When the sum of 3 times a number and 4 is increased by 6, the result is 2 times a number decreased by 14. Determine whether each step is a correct step for writing and solving this equation by selecting Yes or No. A Write the equation 3n + 4 + 6 = 2n – 14. Yes No B Write the equation 3(n + 4) + 6 = 2(n – 14). Yes No C Combine like terms. Yes No D Subtract 2n from each side. Yes No E Add 10 to each side. Yes No F Subtract 10 from each side. Yes No

Answer 1

Answer: A. Yes B. No C.Yes D. Yes E. No F. Yes

Explanation:

Answer 2

A. Yes

B. No

C. Yes

D. Yes

E. No

F. Yes

Explanation:

A Write the equation 3n + 4 + 6 = 2n – 14. Yes

B Write the equation 3(n + 4) + 6 = 2(n – 14). No

C Combine like terms. Yes

D Subtract 2n from each side. Yes

E Add 10 to each side. No

F Subtract 10 from each side. Yes

Solution:

sum of 3 times a number and 4 is increased by 6, the result is 2 times a number decreased by 14

Let the number = n

{(3 * n) + 4} + 6 = (2 * n) - 14

3n + 4 + 6 = 2n - 14

3n + 10 = 2n - 14

3n + 10 - 2n = 2n - 14 - 2n

n + 10 = -14

Subtract 10 from each side

n + 10 - 10 = -14 - 10

n = -24