Paul's Online Notes
Paul's Online Notes
Home / Algebra / Solving Equations and Inequalities / Applications of Quadratic Equations
Show Mobile Notice Show All Notes Hide All Notes
Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.
Assignment Problems Notice
Please do not email me to get solutions and/or answers to these problems. I will not give them out under any circumstances nor will I respond to any requests to do so. The intent of these problems is for instructors to use them for assignments and having solutions/answers easily available defeats that purpose.

If you are looking for some problems with solutions you can find some by clicking on the "Practice Problems" link above.

Section 2.8 : Applications of Quadratic Equations

  1. The length of a rectangle is 4 feet more than the width. If the area of the rectangle is 136 ft2 what are the dimensions of the rectangle?
  2. The area of some rectangle is 35 in2. Four times the width of this rectangle is the same as 3 inches more than twice the length. What are the dimensions of the rectangle?
  3. The area of a triangle is 28 m2 and the height of the triangle is 2 meters less than 5 times the base. What are the height and base of this triangle?
  4. Two cars start out at the same spot. One car starts to drive north at 18 mph 5 hours before the second car starts driving to the east at 32 mph. How long after the first car starts driving does it take for the two cars to be 350 miles apart?
  5. Two cars start out at the same point and at the same time one starts driving north while the other starts driving east at a speed that is 4 mph faster than the car driving north. Twelve hours after the cars start driving they are 600 miles apart. What was the speed of each car?
  6. Two people can paint a house in 21 hours. Working individually one of the people can paint the house in 6 hours more than it takes the other person to paint the house. How long would it take each person working individually to paint the house?