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Factoring Applications (10 MC problems)
General Questions
Solve the following
equation
by factoring: 8x
^{2}
+ 34x + 15 = 0
1.
none of the above
Which of the following values is a
solution
to the quadratic equation:
3x
^{2}
– 9x = 12?
2.
none of the above
If 8x
^{3}
+ 125 = 0, what must be true about the value of x?
3.
none of the above
If y = 6 is a
solution
of 2y
^{2}
+ by – 72 = 0, what must be the value of b?
4.
none of the above
Find the correct set of factors for 6x
^{2}
– 87x + 81.
5.
none of the above
Solve by factoring: m
^{2}
– 14m – 48 = 0
6.
none of the above
Find the correct set of factors for 4p
^{2}
+ 25.
7.
none of the above
Find the value of
c
that makes the following quadratic a perfect
square
trinomial:
9t
^{2}
– 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 feet
12 feet
9 feet
8 feet
none 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 ft
^{2}
, what are the largest possible dimensions for the pool?
10.
20 x 40 feet
12.5 x 25 feet
11 x 22 feet
10.5 x 21 feet
none of the above
K Dodd
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