Name__________________________________________
Common Core Algebra
Date_____________________________
Applications of Quadratics Homework
Problem Set: Solve each of the following problems algebraically.
1. The length of a rectangle is 2 cm less than its
2. Find two consecutive even integers whose
2
width. If the area of the rectangle is 35 cm , find
product is 80. (There are two pairs, and only an
the width.
algebraic solution will be accepted.)
3. The length of a rectangle is 4 cm more than 3
times its width. If the area of the rectangle is 15
cm2, find the width.
5. I have an 8 in by 10 in photo that will be put in
a frame that is 224 square inches. What
should be the width of the matte put around
the photo so that it will fit in the frame?
x
x
10 in
8 in
4. Find three consecutive positive integers such that
the product of the first and second is two more
than three times the third.
6. The length of each side of a square is represented by x
meters. A rectangle is formed by increasing the width of
the square by 2 meters and decreasing the length of the
square by 2 meters. The area of the rectangle formed is 32
square meters. Find the measure of one side of the original
square.