1 The sum of nine consecutive integers n middle integer of

1) The sum of nine consecutive integers;  n = middle integer of the nine

2)The average of four quiz scores if each of the first three scores is 9;   q = fourth quiz score

3) The area (in ft²) of a rectangle that is ten times as long as it is wide;  w = width of the rectangle (in ft)

4) Linh has obtained scores of 86, 79, and 73 on her midterm algebra exams. If the final counts twice as much as a midterm, what score must she make on her final exam to get an average score of 80? (Assume that the maximum possible score on each test is 100.)

5) A rectangular garden is 9 ft longer than it is wide. Its area is 580 ft². What are its dimensions?

length

Solution

1) There is given that there are 9 consecutive integers where n is the middle term.

=> the integers are n-4, n-3, n-2, n-1, n, n+1, n+2, n+3, n+4

Sum = n-4+n-3+n-2+n-1 +n +n+1+n+2+n+3 +n+4

=> Sum= 9n .. Answer