Solving Quadratic Word Problems
Solve each word problem using an algebraic solution.
1) At a kennel, each dog run is a rectangle whose length is 4 feet more than twice the width. Each run encloses
240 square feet. What are the dimensions of the runs?
2) The sum of two numbers is 10 and their product is 24. Find the numbers.
3) The sum of two numbers is 13. The sum of their squares is 89. Find the numbers.
4) The sum of the squares of two consecutive odd integers is 202. Find the integers.
5) The product of two consecutive, positive, even integers is 80. Find the integers.
6) The square of a number is 12 more than the number. Find the number.
7) Find two consecutive negative integers such that the square of the smaller increased by 4 times the larger is
64.
8) The length of a rectangle is 8 feet longer than the width. The area is 105 square feet. Find the dimensions of
the rectangle.
9) The product of two consecutive odd integers is 143. Find the integers.
10) The square of a number decreased by 3 times the number is 18. Find the number.
11) The product of two consecutive integers is 42. Find the integers.
12) The sum of two numbers is 14 and their product is 48. Find the numbers.
13) Find three consecutive integers such that the product of the second integer and the third integer is 20.