Math Review: Algebra (Quadratic Equations)

Factoring, Completing the Square, or the Quadratic Formula | Quadratic Models

Solving Problems Involving Quadratic Models

  1. The product of two positive integers is 104. Determine the two numbers if one is five less than the other.
  2. The length of a rectangle is one foot more than twice its width. If the area of the rectangle is 21 square feet then what are the dimensions of the rectangle?
  3. A square's length is increased by 2 meters and its width is doubled. If these changes resulted in an increase in area of 32 square meters, what were the dimensions of the original square?
  4. When a football is punted, the height in feet of the football at time  image   can be found by using the formula image .
    1. What height has the ball reached after three seconds?
    2. How long does it take the ball to reach a height of 64 feet?
    3. How long does it take for the ball to hit the ground?

Answers:

  1. 8 and 13
  2. 7 ft by 3 ft
  3. 4m by 4m
  4. a)48 ft

b)Two seconds

c)Four seconds

 

Back to the Top

©2002, Last Updated: June 15, 2007
El Centro College
Communications, Mathematics, Developmental Studies, and Teacher Preparation Division