ALEKS REVIEW PACK V2 #2
Basic Math / FND M020 SP 14 - FNDM020-22503-12N300NF02-Ziad (Prof. Traish)
Student Name/ID:
1. Simplify.
Write your answer with a positive exponent only.
2. Multiply.
Simplify your answer.
3. Simplify.
4. Multiply.
Simplify your answer.
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5.
Find the least common multiple of
and
.
6. Simplify.
Write your answer without parentheses.
7. Simplify.
8. Find the least common multiple of these two expressions.
and
9. Evaluate.
10. Multiply.
Simplify your answer.
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11. Find the
-intercept and
-intercept of the line.
-intercept: _______________
-intercept: _______________
12. Graph the line.
13. Fill in the blanks below.
Find the slope of the line passing through the points
and
.
slope:
Find the slope of the line passing through the points
and
.
slope:
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14. Evaluate. Write your answer as a fraction in simplest form.
15. Using the pencil, plot the point
.
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16. Find the midpoint
of the line segment joining the points
=
and
=
.
17. Graph the line.
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18. Write an inequality for the following statement.
is greater than
19. Write inequalities to represent the situations below.
Carmen exercises at least 45 minutes per day.
Use t to represent Carmen's amount of exercise (in minutes per day).
The distance to the nearest exit door is no more than 100 feet.
Use d to represent the distance (in feet) to the nearest exit door.
20. Solve for
.
Simplify your answer as much as possible.
21. Simplify the following expression.
22.
The container that holds the water for the football team is
full. After pouring in
gallons of water, it is
full. How many gallons can the container hold?
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23. Evaluate the expression when
24. Solve for
and
.
.
Simplify your answer as much as possible.
25. Lamar rented a truck for one day. There was a base fee of
of
cents for each mile driven. Lamar had to pay
miles did he drive the truck?
26. Solve for
, and there was an additional charge
when he returned the truck. For how many
.
27. Evaluate the expression when
,
, and
.
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28. The Venn diagram shows the memberships for the Science, Computer, and Music clubs.
Use the diagram to answer the questions below.
(a) Select all the clubs that Henry is a member of.
(b) How many students are members of the Music Club or the Science Club (or both)?
(c) Which of these students are in the Computer Club but not any other club?
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29. A private college advertised that last year their freshman students, on average, had a score of
on
the SAT. Assuming that average refers to the mean, which of the following claims must be true based on
this information?
Note: more than one statement could be true. If none of the statements is true, mark the appropriate box.
30. A group of
responses:
students was asked, "How many hours did you watch television last week?" Here are their
6, 18, 19, 19, 15, 7, 18, 19.
Find the mean and median number of hours for these students.
If necessary, round your answers to the nearest tenth.
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31. A spinner with equally sized slices is shown below. ( slices are grey, is black, and are white.)
The dial is spun and stops on a slice at random. What is the probability that the dial stops on a grey
slice?
Write your answer as a fraction in simplest form.
32. The monthly rents (in dollars) paid by
from least to greatest.)
people are given below. (Note that these are already ordered
770, 900, 910, 920, 945, 1000, 1025, 1040, 1075, 1115.
Suppose that one of the people moves. His rent changes from
Answer the following.
to
.
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33. An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted
spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are
added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event
Event
: The sum is greater than .
: The sum is not divisible by and not divisible by
.
Write your answers as exact fractions.
34. Answer the questions below.
35. The graph below shows the numbers of orders received by a company for five months.
(a) What was the greatest number of orders in a month?
(b) When did the number of orders have the greatest decrease?
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36. The train station clock runs too fast and gains
minutes every
days.
How many minutes and seconds will it have gained at the end of
days?
37. Carmen flew from Chicago to Denver. Her flight took off at
long did the flight last?
38. Raina finished a puzzle in
and landed at
. How
minutes. How many seconds is this?
39. A company offers free shipping on orders that weigh less than
kilograms?
grams. How much is this in
Be sure to include the correct unit in your answer.
40. The tree in Martina's backyard is
meters high. How high is it in centimeters?
Be sure to include the correct unit in your answer.
41. A cyclist rides her bike at a speed of
meters per second. What is this speed in kilometers per hour?
How many kilometers will the cyclist travel in
hours? Do not round your answers.
Speed:
Distance traveled in
hours:
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42. The diameter of a water tower tank is
, and its height is
. What is the volume of water that
can be stored in the tank?
for
, and round your answer to the nearest cubic foot. Be sure to include the
(Use the value
correct unit in your answer.)
43. A rectangle is placed around a semicircle as shown below. The length of the rectangle is
Find the area of the shaded region. Use the value
to include the correct unit in your answer.
44. A bike wheel has a diameter of
Use the value
for
for
.
, and do not round your answer. Be sure
. What is its circumference?
, and do not round your answer. Be sure to include the correct unit in your
answer.
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45. Simplify.
Be sure to write your answer in simplest form.
46. A flower garden is shaped like a circle. Its diameter is
garden. The width of the path is
. A ring-shaped path goes around the
.
The gardener is going to cover the path with sand. If one bag of sand can cover
, how many bags
of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be
for
.)
a whole number. (Use the value
47. Find the area of the following rectangle.
Write your answer in simplest form.
Be sure to include the correct unit in your answer.
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48. A
-
tall building casts a shadow. The distance from the top of the building to the tip of the shadow is
. Find the length of the shadow. Round your answer to the nearest tenth.
49. The quadrilaterals
Find the length
of
and
are similar.
.
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50. The figure below shows a rectangular court.
(a) Use the calculator to find the area and perimeter of the court.
Make sure to include the correct units.
Area:
Perimeter:
(b) The court will have a wood floor.
Which measure would be used in finding the amount of wood needed?
- Perimeter
- Area
(c) A strip of tape will be placed around the court.
Which measure would be used in finding the amount of tape needed?
- Perimeter
- Area
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51. Are the triangles below acute, obtuse, or right?
Triangle A
Triangle B
Triangle C
Triangle D
52. The price of an item has been reduced by
item now?
53. A camera has a listed price of
the camera with sales tax included.
. The original price was
before tax. If the sales tax rate is
. What is the price of the
, find the total cost of
Round your answer to the nearest cent, as necessary.
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54. Write
as a fraction. There is no need to simplify your answer.
55. Find the greatest common factor of
and
56. Find the least common multiple (LCM) of
.
and
.
57. The first three terms of an arithmetic sequence are as follows.
,
,
Find the next two terms of this sequence.
58. The first three terms of a geometric sequence are as follows.
,
,
Find the next two terms of this sequence.
59. Answer the question below, and then fill in the blanks if necessary.
60. Estimate
by first rounding each number to the nearest hundred.
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