Name_____________________________________________________
Algebra 1 Placement Summer Math Review for 2013-2014
This packet is a review of the math concepts for Algebra 1. You will need to work out each problem
carefully. Make sure that you completely understand your steps for each solution. An assessment
will be given on the same concepts that are in this review during the first week of school. This
assessment will be your first major test grade for the first quarter of the school year 2013-2014 in
your math course.
Find the greatest common factor of the
numbers.
8. Round 2481.65 to the nearest tenth.
1. 35, 63, and 84
Find the value of the expression.
9.
Find the least common multiple of the set of
numbers.
Identify all sets to which the number belongs. If the
number is rational, use the following names:
N = the set of natural numbers
W = the set of whole numbers
Z = the set of integers
Q = the set of rational numbers
2. 6, 9, and 12
Multiply or divide. Write your answer in
simplest form.
10. 28
3.
11. –0.777777...
4.
Write the decimal as a fraction or mixed number in
simplest form.
Write the fraction in simplest form.
12.
5.
Name the property shown by each statement.
Write as a decimal.
13.
6.
14.
Write as a fraction in simplest form.
15. 31 + (4 + 17) = (31 + 4) + 17
7. 0.32
16.
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Name_____________________________________________________
Algebra 1 Placement Summer Math Review for 2013-2014
Evaluate each expression if x=14, y=5, and z=6.
Solve each equation.
26.
17.
27.
18. Evaluate the expression if a = 18 and b = –8.
28.
Perform the indicated operation. Write the answer
in simplest form.
29.
19.
Express each percent as a decimal.
20.
30. 6.3%
21.
Express each decimal as a percent.
31. 1.88
22.
Use the percent proportion to solve each problem.
Round to the nearest tenth.
23.
32. 24 is what percent of 120?
Translate each phrase into an algebraic expression.
24. four inches less than Kimi
33. 30 is 75% of what number.
25. twelve more than a number times three
34. The United States is the world’s leading exporter of
wheat with approximately 27.8 billion metric tons
per year. Suppose Argentina exports 33% of the
U.S. total. About how many metric tons are
exported by Argentina?
35. A coat is on sale at a 20% discount. Find the sale
price of the coat if it normally sells for $79?
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Name_____________________________________________________
Algebra 1 Placement Summer Math Review for 2013-2014
36. A car salesman makes $445 per week plus
commission. If during the week he sells a new van
for $34,960 and earns a 2.5% commission on the
sale, how much money did he earn for the week?
43. Give the 9th term in the sequence
2, , 18,
, ...
Write the prime factorization of the number. Use
exponents for repeated factors.
Find the simple interest.
44. 90
37. $4,000 at 5.25% for 5 years.
Simplify each expression.
38. Express
in standard form.
45.
39. A thunderstorm cloud holds about 6,200,000,000
raindrops. Write this number in scientific notation?
47.
Complete the conversion.
40. 251 miles per hour
46.
__ miles per minute
48.
41. 92 in.
__ cm
49. Solve
42. A package weights
.
pounds. What is the weight
of the package in ounces?
50. Simplify the expression:
.
51. At a school festival, a colored chip is randomly drawn out of a bag, and replaced. The table below shows the
results of 50 draws. Estimate the probability of choosing a purple chip.
Outcome
Draws
Blue
Red
Green
Purple
Gold
7
11
6
12
14
52. Wendy tosses three fair coins. What is the probability that all three coins will land tails up?
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Name_____________________________________________________
Algebra 1 Placement Summer Math Review for 2013-2014
53. What are the coordinates of each point?
59. Find the mean, median, and mode of the data set.
5, 8, 6, 5, 8, 4, 8, 4
60. What is the range and the first and third quartiles of
the data set?
14, 16, 12, 15, 22, 18, 16, 10, 12
61. To the nearest tenth, find the area of a circle with a
diameter of 18 meters. Use 3.14 for .
54. If Hannah purchased a 5-day parking pass for
$36.25, how much did she pay per day?
62. What is the area of a square with side length
inches?
55. A car is traveling at an average rate of 60 mph.
How far will the car travel in
hours?
63. What is the area of a rectangle that is 23.5 meters
long and 16 meters wide?
56. Samuel earns $3.75 per hour. How many hours did
he work to earn $20.00?
64. The diameter of Joseph’s bicycle wheel is 20
inches. What is the circumference to the nearest
inch? Use 3.14 for .
57. Find
.
58. If c is the measure of the hypotenuse, find the
missing measure. Round to the nearest tenth, if
necessary.
65. A large concrete block is used for the cornerstone
of a building. The block is 13 ft deep, 11 ft wide,
and 16 ft long. What volume of concrete is needed
to make this block?
66. Find the area of a trapezoid with the dimensions
b1 = 9, b2 = 16, h = 13.4.
Find the perimeter.
67. A rectangle with a length of 17 inches and a width of 18 inches.
Find the area.
68. A triangle that has a base of 11 inches and a height of 22 inches.
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Name_____________________________________________________
Algebra 1 Placement Summer Math Review for 2013-2014
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