LAGUARDIA COMMUNITY COLLEGE
Department of Mathematics, Engineering, and Computer Science
MATH096 ELEMENTARY ALGEBRA
ALEKS PILOT
LAB # 2
Name: ____________________________________
Date: ____________________
Instructor: _________________________________
Section: __________________
You need to show all work. Indicate the right answer in the answer sheet. Even if you mark the
right answer, but do not show work on this sheet, you will not be given credit for that question.
Tutor problems are the examples for the unsolved problem(s) that follow them.
1. (Tutor) Write a proportion for each statement:
i.
ii.
4 is to 16 as 5 is to 20.
The numbers 2 and 3 are proportional to the numbers 4 and 6.
Solution:
i.
4
5

16 20
ii.
2 4

3 6
2. Write a proportion for each statements:
i.
3 is to 18 as 4 is to 24.
ii.
The numbers −30 and −25 are proportional to the numbers 12 and 10.
Spring 2014
3. (Tutor) Converting percent (%) to fraction or mixed number.
Change 32% percent to a simplified fraction or mixed number.
Note: Replace the symbol % by 
1
(or  100). Then simplify the fraction to lowest
100
terms.
Solution: 32%  32 
Correct answer is:
1
32
8


100 100 25
8
25
4. Change 0.5% percent to a simplified fraction or mixed number
5. (Tutor) Convert decimal to a percent. Convert 0.33 to percent.
Note: Replace the % symbol by  0.01 (or  100).
Solution: 0.33 = 0.33  100% = 33%
Correct answer is: 33
6. Convert 1.75 to percent.
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7. (Tutor) Convert fraction to a percent. Write
5
in percent notation to the nearest tenth
11
of a percent
Solution:
5 5
  100%
11 11
5 100
 
%
11 1
500

%
11
 45.5%
Correct answer is: 45.5 %
8. Write
3
in percent notation to the nearest tenth of a percent.
7
9. (Tutor) Write the percent equation and solve for the unknown amount:
120% of 40.4 is what number?
Note: A percent equation represents a percent proportion in an alternative form:
Amount = (p %)  (base)
Solution:
Let x represent the unknown amount.
x = (120%)(40.4)
x = (1.2)(40.4)
x = 48.48
Correct answer is: 48.48
10. Find 12% of 625.
11. (Tutor) A store offers 40% discount on the list price of all its goods. What do you save if
the list price is $210?
Solution: your saving = discount = 40% of 210
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= (0.40)(210
=84
You save $84.
12. A sales representative gets 10% commission, on top of his salary, for all sales over $1500
during a month. What is his commission if his total sales during a month is $7800.
13. (Tutor) Find the value of the unknown from the given proportion:
Solution: First of all, simplify the fraction on the right to lowest terms:
Now, the proportion is:
Cross multiply: 7x=5(14)=70
Answer is: x=10.
14. Find the value of the unknown from the given proportion:
15. (Tutor) Forty-four percent of Americans use online travel sites to book hotel or airline
reservations. If 400 people need to make airline or hotel reservations, how many would
be expected to use online travel sites?
Solution:
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Let x represent the number using online travel sites.
x = (0.44)(400)
x = 176
176 people would be expected to use online travel sites.
16. A recent survey showed that 6% of the population of the United States is unemployed. If
Charlotte, North Carolina has 36000 unemployed, what is your estimate of the population
of Charlotte?
Extra Practice Problems
1. A new shirt is labeled at $42.00. Jon purchased the shirt and paid $44.10.
a. How much was the sales tax?
b. What is the sales tax rate?
2. Marisa makes a commission of 15% on sales over $400. One day she sells $750 worth of
merchandise.
a. How much over $400 did Marisa sell?
b. How much did she make in commission that day?
3. Multiply the two decimals and round your answer to two decimal places: (8.792)×(9.34)
4. Which is a better buy for tomato ketchup? 15 ounces for $0.99 or 35 ounces for $2.19?
5. A $60 hairdryer is sold for $69. What is the markup rate?
Spring 2014