HEED Program – Naples, FL
Algebra I Pre-Test
Algebra I Pre-Test
The following pre-test is designed to help parents and prospective students determine
readiness for the HEED Algebra 1 course to be offered in the 2008-2009 school year. Once
the test is completed, the course instructor will provide feedback to each family and direct
students to any needed review and/or study activities.
Please do not be concerned if you do not know the answer to every question. The purpose of
the test is not to pass or fail a student it is to give the instructor a realistic view of the
student’s strengths and weaknesses. You probably will not be able to answer all of the
questions. If you come to a problem you have not learned yet, simply put “have not learned
yet” and move on.
To complete the test, students may use a calculator (but NOT a graphing calculator).
However, they should show all work so the instructor can assess process skills and
knowledge base.
 Show all work on additional pages and deliver / send all materials to Mathworks
Tutoring, LLC, 7765 Preserve Lane – Suite #5, Naples, 34119 (239-591-2468).
 You may also scan materials and e-mail them to mathworks@weatherworks.com
 or fax them to Mathworks at 202-742-2806 (no cover page required).
 Be sure that student’s name is on every page submitted.
Materials must be submitted and the instructor recommendations’ sent prior to enrolling in
the course.
Students…please do your best.
H. Michael Mogil
01.
(4 1)2  3 – 8*(3 – 4)

4 *3 – 5
03. Find the prime factors of 45270.
05.
04.
1
3
7 –5 
4
7
8 3 1
  
7 4 3
7.43* 4.444 
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02.
06.
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HEED Program – Naples, FL
Algebra I Pre-Test
07. Divide
378.25
, rounding to the nearest thousandth.
82.2
Use the following information to answer questions 08 - 12.
A sample of tree trunk diameters during a tree harvest yielded the following data in centimeters:
98
77
110
98
104
79
90
94
98
08.
What was the average tree trunk diameter?
09.
What was the mode?
10.
What was the median size?
11.
Graph the data in a meaningful way.
12.
If
79
86
68
94
82
6x  3  27 , what is the value of 2x  1?
4xy2 (3x  2y4 – 3xy3 )
13.
Simplify:
14.
Rewrite
15.
On graph paper, plot the following points: A(2, 5), B(-6, 0), C(5, 6), and D(-9, 1). Connect
the points to form a geometric shape. What is the shape? How can you tell?
16.
If a certain number was multiplied by 4 and then decreased by 6 and the final answer was
54, what was the original number?
8
as a fraction with a denominator of 25.
15
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HEED Program – Naples, FL
Algebra I Pre-Test
17.
4
15 
2
3
18.
Find x:
1
x3  7
3
19.
Find x:
1 2
x – 7  –2
5
20. Use words to describe the number 12345.6789.
21. What is the area and perimeter of this figure?
Dimensions are in centimeters.
22. You want to giftwrap a rectangular box whose dimensions are 16” x 16” x 18”. How many
square feet of wrapping paper will you need (assuming that the wrapping paper won’t
overlap anywhere)?
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HEED Program – Naples, FL
Algebra I Pre-Test
23. The average time to run four 200-meter runs was 112.4 seconds. If the times for the first
three runs were 105.8, 107.8 and 113.2 seconds, what was the time for the fourth run?
24. Simplify:
148
7
25.
Rewrite 0.00034065 in scientific notation.
26.
Find the greatest common factor of 36 and 168.
27.
Find the least common multiple of 36 and 168.
28.
Express
9
14
as a percent.
29. What number is
30.
Simplify:
3
7
of 231?
3
1
4 *6
7
2
2 4
5 *1
3 5
31. Convert 3.5 miles to centimeters.
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HEED Program – Naples, FL
Algebra I Pre-Test
1
5 1
x –  x 1
4
6 3
32.
Solve:
33.
The amount of trash collected from homes in Naples during the first 6 weeks of 2008 was
4% higher than that collected during the same period in 2007. If 4,600 tons of trash were
collected in 2008, how much trash was collected in 2007?
34.
The diameter of circle P is 7”. What is the circle’s circumference?
35.
Simplify:
36.
Philipe boxed chocolate chip cookies into packages each containing 15 cookies. If he
started with 304 cookies, how many full boxes of cookies could he make?
37.
What is the sum of the angles inside a regular pentagon?
38.
Simplify:
39.
On the recent family vacation, dad drove the first 4 hours at an average rate of 50 mph.
Then mom drove the next 3 hours at a rate 10% higher than dad’s. How far did the family
drive that day?
121– 40
123.987 – 34.5678
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HEED Program – Naples, FL
Algebra I Pre-Test
40.
Find x.
41. How many degrees are there between the minute and hour hands on a clock when the clock
shows 8pm?
42. Your mom wants to buy a new dress. The dress costs $75. But, your mom found it on sale
at 35% off. How much did she have to pay for the dress?
43.
The area of a rectangular patio is 96 feet. What dimensions (length and width) will result
in the smallest perimeter?
44.
If angle ACB is 58o, what is the measure of angle
BCE?
45.
What is the slope of a line that passes through the points (1,4) and (3, 10)?
46. Sam saved $1,200 in a bank account at 4% annual interest rate for 1 year. How much
interest will he earn?
Use the graph below to answer questions 47 and 48.
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HEED Program – Naples, FL
Algebra I Pre-Test
47.
Between which 2 quarters did sales in the Southern region increase by 20%?
48.
In which quarter were total sales the greatest?
49.
You roll two fair dice. On the first roll you roll a double 2. On the second roll, you roll a
double 4. What is the probability that you will roll a double 6 on the third roll?
50. At solar noon, a tree, T-feet tall casts a shadow 36 feet long. Standing nearby a 6-foot
policeman casts a shadow 4 feet long. How tall is the tree?
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