Factoring Applications (10 MC problems)

General Questions
 Solve the following equation by factoring: 8x2 + 34x + 15 = 0
 1 none of the above

 Which of the following values is a solution to the quadratic equation: 3x2 – 9x = 12?
 2 none of the above

 If  8x3 + 125 = 0, what must be true about the value of x?
 3 none of the above

 If y = 6 is a solution of 2y2 + by – 72 = 0, what must be the value of b?
 4 none of the above

 Find the correct set of factors for  6x2 – 87x + 81.
 5 none of the above

 Solve by factoring:  m2 – 14m – 48 = 0
 6 none of the above

 Find the correct set of factors for 4p2 + 25.
 7 none of the above

 Find the value of c that makes the following quadratic a perfect square trinomial: 9t2 – 36t + c
 8 none of the above

 A 15-foot ladder is leaning against the side of a house.  The top of the ladder reaches up the house three feet more than the distance the base of the ladder is from the bottom of the house.  How high up the side of the house does the ladder reach?
 9 15 feet12 feet9 feet8 feetnone of the above

 A pool deck is to be built around a rectangular shaped pool.  The deck is to be 5 feet wide on either long side of the pool & 3 feet wide on either short side of the pool.  If the screened area in which you have to build the pool and deck can be no larger than 500 ft2, what are the largest possible dimensions for the pool?
 10 20 x 40 feet12.5 x 25 feet11 x 22 feet10.5 x 21 feetnone of the above

K Dodd

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