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Name: __________________
Student #: ______________
MATH 173 DF
Assignment #1
Due: Friday, Oct 3rd, 2008
For each question below, provide full solutions and show all your work. Solutions
without justification may receive zero marks.
1. Complete the following conversions. Show your calculations.
(a) 22 nL
= ______ dL
(b) 18.23 inches = ______ cm
(c) 0.23 mm3 = ______μm3
(d) 123 cg / mL = ______ mg / cL
(e) While working in the lab you measure 39.5 mL of 0.1molar hydrochloric
acid. How many pm do you have? Express your answer in scientific
notation.
2. A mole is a unit of measurement describing the number of molecules of a
compound. One mole is equal to 6.02x1023 molecules. How many molecules are
there in 5.4 moles of oxygen?
3. For the given fractions, what values of x are not permitted? Why?
a)
5
x
b)
x+3
x -3
c)
12
x2 - 9
5
4. Before chemotherapy, a patient’s malignant tumour had a mass of 5 kg.
7
1
After a month of treatment, the tumour’s mass was reduced by 2 kg. What
8
was the mass of the tumour after one month?
Name: __________________
Student #: ______________
5. Solve for x
3x
2
=
x+5 5
6. State whether the following pairs of numbers are proportional. Justify your
answer.
18
12
84
29
a)
and
b)
and
17
119
29
18
7. The distance d that an object falls under the influence of gravity is
proportional to the square of the time of the fall, t. If the object falls 64.0 m in
2.00 s, how far does it fall in 6.00 s?
8. Find y when x=4 and z=6 if y varies directly as the product of xz and y =9
when x = 3 and z = 5.
n
9. In the equation A = P(1+ r ) , A is the final amount, P is the principal, r is
the rate of interest and n in the number of times interest is paid per year.
a. Solve for P
b. $10000 is deposited into the account for 7 months. The account
earns interest every month. At the end, there is $10 350 in the
account. What was the rate of interest? Round to 2 decimal places.
10. A chemist has 300 milliliters (mL) of solution that is 18% acid. How many
milliliters of acid are in the solution?
Textbook pg 38 # 14
Textbook pg. 90 #46, 48
Textbook pg 45 # 26, 46, 54