Expert: Richard J. Raridon - 9/24/2008

Question
1.   The perimeter of a rectangle is 126 m. The length is 6 m more than twice the width. Find the dimension.
a.   What is the length ____ m?
b.   What is the width ____ m?

2.   Two angles are complementary.  The sum of the measure of the first angle and half of the second angle is 72 degrees.  Find the measures of the angles.
a.   What is the measure of the smaller angle?  ___degrees
b.   What is the measure of the other angle?  ___ degrees

3.   A cellular phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by C=0.25(t+300)+70.95.  Where it is assumed that  minutes.  What time will keep the cost between $112.70 and $148.20?
For the cost between $112.70 and $148.20 the telephoning minutes must be between ___ minutes and ___ minutes.

4.   One can of juice drink is 20% orange juice; another is 5% orange juice.  How many liters of each should be mixed together in order to get 15L that is 14% orange juice?
a.   How many liters of the 20% orange juice should be in the mixture?  ___L
b.   How many liters of the 5% orange juice should be in the mixture?  ___L

5.   Use set builder notation to describe the complete solution.
a.   3[5m-(m+4)]>-4(m-6)      Solution is { ___  ___}
b.   ¾(3x-1/2)-1/3<2/3          Solution is {  ___ ___}
6.   Solve by using the substitution method.
9x +8y = -37
-9x +y =46   What is the solution system______?
      7.   Graph the inequality on a plane    5y – 6c > 30.
      8.   Solve the system of equation by graphing.
            a.   3x - 9y =63      2x – 6y = -2     What is the solution system  _____?
            b.   4x – y = 11      4x + 5y = -31  What is the solution system  ____?
     9.  Solve
            
10.   Solve by using the elimination method.
       a.  5x + 7y = 18      8x – 7y = -135    What is the solution system ____?
       b.  5x + 6y = 4       10x + 12Y = 8     What is the solution system ____?


Answer
1. a. 44m, b. 19m
2. a. 36, b. 54
3. If your equation is correct, t has to be between 1 and 9 minutes.
4. a. 9, b. 6
5. m > 2
6. x=-5, y=1
7. I can't graph it for you.  Simply draw the line 5y-6c=30 and it's all the area above that line.
8. a. no solution, these are parallel lines
b. x=1, y=-7
9. solve what?
10. a. x=-9, y=9
b. no solution, these are identical lines