Regents Practice TEST 1 Interactive Version - Long Response Integrated Algebra Level Return to Test List | Algebra Index | Regents Exam Prep Center

Directions:  These are the Part II, III, and IV long response questions.  Have paper ready to work out the problems, then check your answers by clicking the ANSWER button.  You may use your graphing calculator.

Part II:

 31   After a bad day on Wall Street, Mr. Magnum lost 30% of his money,       but he had \$3500 left.  How much money did he originally have at the       beginning of the day?
 32  Solve for m:   4 ( m – 2 ) = –2 ( 3 – m )
 33  When the angle of elevation of the sun is 62º, the shadow on the ground       of a power pole is 85' long.  Find the height of the power pole to the       nearest tenth of a foot.

Part III:

 34  Find the negative solution for the equation:
 35   License plates in a northern county of New York State are made       with 2 letters followed by 4 digits (0 - 9).  The first letter must be       either "F" or "M", and the first digit must be an even, non-zero digit.       How many different license plates can be made with these restrictions?
 36  Brothers John and Jerry want to start a business cleaning swimming       pools to earn money to purchase a 4-wheeler that costs \$2700.  They       already have \$660 in their savings.  If they charge \$60 per pool, what       is the minimum number of pools they would have to clean to have at       least \$2700?

Part IV:

 37  Mr. Escalante has a rectangular plot of land with length 20 feet and      width 10 feet.  He wants to design a flower garden in the shape of a      circle with two semicircles at each end of the center circle, as shown in      the accompanying diagram.  He will fill in the shaded area with wood      chips.  If one bag of wood chips covers 5 square feet, how many bags      must he buy?
 38  A rocket is launched from the ground and follows a parabolic path       represented by the equation y = –x2 + 10x. At the same time, a flare       is launched from a height of 10 feet and follows a straight path       represented by the equation y = –x + 10.  Graph the equations that       represent the paths of the rocket and the flare, and find the coordinates       of the point(s) where the paths intersect.
 39   On a Christmas package Audrey needs to use only 40-cent stamps       and 16-cent stamps.  If she uses twice as many 40-cent stamps as       16-cent stamps, how many of each type of stamp must she use to       mail a package costing \$5.76 in postage?

Return to Test List | Algebra Index | Regents Exam Prep Center