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Institute
of Tutorial Services
There are worksheets and sample exams given to qualified students,
one at a time. The students can complete the worksheets at home or
in the Math Workshop. If help is needed, a tutor will work with the
student.
1) The following is a sample of the worksheets:
(a) Worksheet #2
Perform the indicated operation. Simplify the
answer if necessary.
16) A coin is made up of 1/3 silver, 3/5 copper and
the rest is lead. What fraction of the coin is lead?
17) If 1/3 of a yard of fabric costs $2, what is
the cost of 2 1/5 yards?
18) Three pieces of wood are needed to make a shelf
that is 13 1/8 feet long. The lengths of two (2) pieces are 4 ½ feet
and 5 1/3 feet respectively, what is the length of the third piece?
19) Mary and Bobby are painting a room. Bobby has
painted 2/9 of the room and Mary has painted 1/6 of the room.
a) Have they painted more than half the room?
b) What fraction of the room remains to be painted?
20) Diane works part-time after school. On Mondays
she works 3 ½ hours at $5 ¼ per hour, on Tuesdays she
works 2 1/3 hours at $6 ½ per hour and on Wednesdays she works
4 hours at $4 ½ per hour.
a)How many hours does she work in 1 week?
b)What are her total earnings in a week?
(b) Worksheet #7
Factor the following expressions completely. If an expression
cannot be factored, state prime.
25) Which of the following is a solution to -3x +
4y = 9?
(a) x = -1 and y = 2 (b) x = 1
and y = 3 (c) y = 2 and x = 0
(d) x = -4 and y = 5 (e) none of
these.
2) www.cuny.edu/prospectivestudent
3) www.act.org/compass/sample/algebra.html
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