Write the algebraic expression described.
-If x represents the first of four consecutive odd integers, express the sum of the first integer and the fourth integer in terms of x.
A)2x + 8
B)2x + 3
C)2x + 6
D)4x + 12

Question

Quizplus · Accepted Answer

If x is the first of four consecutive odd integers, then the fourth integer is x + 6 (since consecutive odd integers have a difference of 2 and there are four integers in total). Therefore, the sum of the first integer (x) and the fourth integer (x + 6) is 2x + 6, which is equivalent to choice C, 2x + 6. If x represents the first of four consecutive odd integers, then the fourth integer can be represented as x + 6 (since the four integers are consecutive odd numbers, the difference between the first and the fourth is (2 + 2) + (2 + 2) = 8). Therefore, the sum of the first integer and the fourth integer is x + (x + 6) = 2x + 6, which is choice C.

Write the Algebraic Expression Described