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Algebra (Assignment Problems) / Solving Equations and Inequalities / Applications of Quadratic Equations   [Notes] [Practice Problems] [Assignment Problems]

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On August 21 I am planning to perform a major update to the site. I can't give a specific time in which the update will happen other than probably sometime between 6:30 a.m. and 8:00 a.m. (Central Time, USA). There is a very small chance that a prior commitment will interfere with this and if so the update will be rescheduled for a later date.

I have spent the better part of the last year or so rebuilding the site from the ground up and the result should (hopefully) lead to quicker load times for the pages and for a better experience on mobile platforms. For the most part the update should be seamless for you with a couple of potential exceptions. I have tried to set things up so that there should be next to no down time on the site. However, if you are the site right as the update happens there is a small possibility that you will get a "server not found" type of error for a few seconds before the new site starts being served. In addition, the first couple of pages will take some time to load as the site comes online. Page load time should decrease significantly once things get up and running however.


Paul
August 7, 2018


Algebra - Assignment Problems
Preliminaries Previous Chapter   Next Chapter Graphing and Functions
Quadratic Equations : A Summary Previous Section   Next Section Equations Reducible to Quadratic in Form

 Application 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?

 

Quadratic Equations : A Summary Previous Section   Next Section Equations Reducible to Quadratic in Form
Preliminaries Previous Chapter   Next Chapter Graphing and Functions

Algebra (Assignment Problems) / Solving Equations and Inequalities / Applications of Quadratic Equations    [Notes] [Practice Problems] [Assignment Problems]

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