8/11/2019 Mtap Algebra&Geometry
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MTAP REVIEW I
1.In ABC , AB = 28 and BC = 12. Give the possible values of
AC.
2.The supplement of an angle measures 25 more than twice its
complement. Find the measure of the angle.3.One side of a
triangle is 5 meters longer than twice the shortest
side. The third side is three times as long as the shortest
side. Find
the length of the longest side if the perimeter of the triangle
is 71
meters.
4.Aimee has a sheet of tin 12 cm by 16 cm. She plans to make a
box
by cutting squares out of each of the four corners and folding
up
the remaining edges. How large a square should she cut so
that
the finished box will have a length that is three times its
width?
5.In ABC B is 80less than one-half of A and C is 280
larger than A . Find the measure of B .6.Find the highest common
factor of 12 23 + xx and 14 x .
7.Simplify the continued fraction:
x
1
11
11
1
.
8.A boy is one-third as old as his brother and 8 years younger
than
his sister. The sum of their ages is 38. How old is the
sister?
9.A can do a job in 8 days, and A and B can do the job together
in 3
days. How long would it take B to do the job alone?
10. A and B start at the same time from two places 136 kmapart
from each other. A travels 10 km/hr and B 8 km/hr. If B
rests 1 hour on the way, in how many hours will they meet?
11. A fruit vendor goes to market to buy fruits for resale at
her
store. She spends half her money for mangoes, and one-third
of
what remains for bananas. She spends Php 150 for other
fruits
and still has Php 200 left from the amount she originally had.
How
much money did she have at the start?
12. Seven carpenters and 5 masons earn a total of Php 2,300
per day. At the same rate of pay, 3 carpenters and 8 masons
earnPhp 2,040. What is the wage per day of the masons?
13. The perimeter of a rectangle is 68 m, and its diagonal is
26
m. Find the area of the rectangle.
14. The electrical resistance of a cable varies directly as
its
length and inversely as the square of its diameter. If the cable
600
m long and 10 mm in diameter has a resistance of 0.1 ohm,
find
