Question

100 POINTS+BRAINLIEST: 8TH GRADE MATH PT 3- Write equations by simplifying polynomials Tyyy

Answer 1

Answer:

d.  3x + 6 = 26

Step-by-step explanation:

Definitions

• Integer:  a whole number that can be positive, negative or zero.
  e.g. ..., -3, -2, -1, 0, 1, 2, 3, ...
• Even number: an integer that is exactly divisible by two.  For example, 2, 4, 6, 8 are all positive even numbers.
• Consecutive: following one after the other in order.

The sum of three consecutive even integers

Let x be the first even integer.

As there is a difference of 2 between consecutive even integers, the next even integer after x will be (x + 2).

Therefore, the next even integer after (x + 2) will be (x + 2) + 2 = (x + 4).

So "the sum of three consecutive even integers is twenty-six" is:

x + (x + 2) + (x + 4) = 26

To solve

⇒ x + (x + 2) + (x + 4) = 26

⇒ x + x + 2 + x + 4 = 26

⇒ 3x + 6 = 26

(Please note that there are no three consecutive even integers that sum to 26, so the problem cannot be solved).

Answer 2

The answer to the question is d.