# ALGEBRA UNIT 1 ```ALGEBRA UNIT 3
HW DAY 7 CONSECUTIVE INTEGER WP
1)
Find two consecutive integers such that 4 times the larger exceeds 3 times the
smaller by 28.
2)
Find three consecutive even integers such that the sum of the smallest and twice
the second is 20 more than the third.
3)
A town is fencing in a rectangular field that is 200 feet long and 150 feet wide.
At \$10 per foot, how much will it cost to fence the field? Describe and correct
the error that a student made in the problem below.
4)
The length of the second side of a triangle is 2 inches less than the length of the
first side. The length of the third side is 12 inches more than the length of the first
side. The perimeter of the triangle is 73 inches. Find the length of each side of
the triangle.
5)
The length of a rectangle is twice the width. If the length is increased by 4 inches
and the width is decreased by 1 inch, a new rectangle is formed whose
perimeter is 198 inches. Find the dimensions of the original rectangle.
6)
The number of times that Larry, Curly, and Jack have each won a dance contest
can be represented by three consecutive integers. Twice the sum of the first and
second integers increased by half the third is 57. Find the number of times each
of them won.
```