Showing posts with label algebra 1. Show all posts
Showing posts with label algebra 1. Show all posts

Wednesday, June 26, 2013

Distance and Midpoint Formulas

In this section we will review the distance and midpoint formulas.
Notice that the distance formula results in a real number and that the midpoint formula results in an ordered pair.

[ Interactive: Distance and Midpoint ]

Given two points find the distance and midpoint between them.
   

   
   
   
Video Lessons:
 
Use the distance and/or midpoint formulas to solve the following.

Example: If the diameter of a circle is defined by the two points (-3, 4) and (7, 4), find the center and radius of the circle. (Hint: diameter = 2r)
Example: Find the area of a circle given center (-3, 3) and point (3, 3) on the circle.
   
Video Examples on YouTube:





 
YouTube Example: Find the coordinates of an endpoint given the other endpoint and the midpoint.
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Sunday, April 21, 2013

Elementary Algebra Exam #3

Click on the 10 question exam covering topics in chapters 5 and 6. Give yourself one hour to try all of the problems and then come back and check your answers.



10. The length of a rectangle is 4 centimeters less than twice its width. The area is 96 square centimeters. Find the length and width. (Set up an algebraic equation then solve it)

 
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Saturday, March 23, 2013

Elementary Algebra Exam #2

Click on the 10 question exam covering topics in chapters 3 and 4. Give yourself one hour to try all of the problems and then come back and check your answers.


Graph. Also, find and label both the x- and y-intercepts.
 
Are the following lines parallel, perpendicular, or neither? Justify your answer.
 

Find the equation of the line:
 
 

  

 9. A light aircraft, flying with the wind, can travel 270 miles in 2 hours. On the return trip, flying against the same wind, the plane can only travel 210 miles in the same amount of time. What is the speed of the wind?
10. Marcia invested a total of 2,500 dollars in two separate accounts. One account earned 6% annual interest and the other earned 8%. If her total interest for the year was 167 dollars, then how much did she invest in each account?
 
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