Download ExamView - Pre-Algebra - 1st Semester Benchmark Review 1.tst

Name: ________________________ Class: ___________________ Date: __________
ID: A
Pre-Algebra - First Semester Benchmark Review 1 Worksheet
1. Multiply. Write the product as one power:
18 9 • 19 5
2. Divide. Write the quotient as one power:
12. Estimate each square root to the nearest whole
number: 386
13. Order the set of numbers from least to greatest:
3
0.32, 10 , 34%
15 9
15 7
14. Order the set of numbers from least to greatest:
17
226% , 5 , 2 50
3. Evaluate: (1) 2 • (7) −5
4. Multiply. Write the answer in simplest form:
10x 2 y 4 21x 2 yz 7
⋅
7z 5
5x 4
| 4 | | | 14 | − 11 |
15. Evaluate: | 5 | − || | 15 | + ( 20 ) ||
16. Evaluate: |x | − || y || if x =
4
7
3
and y = − 4 .
5. Express 2.23 × 102 in standard form.
Cell
4.0 × 10
Dust Particle
2.0 × 10
Virus
1.0 × 10
4
5
2
−10
3.5 × 10
3
18. Evaluate: 3 7 – 4 6
Size of Microscopic Items
Item
Typical Size (m)
Water Molecule
1
17. Evaluate: 2 7 + 3 8
6. Rank the microscopic items in order by size from
smallest to largest.
19. Evaluate: 5 5 ×
1
3
−6
−4
5
20. Evaluate: 3 8 ÷
−7
1
7
2
of his paycheck to a local
25
1
recreation program, and
of his paycheck to his
25
favorite charity. How much of his paycheck did he
donate?
7. Trevin lives 6,500 meters from the library. Selina
lives 6.8 km away. Who lives closer to the library?
Justify your answer.
21. Joshua donated
8. Order 9.3 mm, 9.3 m, 9.3 cm , 0.93 m, 0.093 km
from the smallest to the largest measurement.
9. Identify all sets to which the number belongs.:
–814.91827364...
22. Sylvia found two worms in the yard and measured
5
inch long.
them with a ruler. One worm was
13
3
The other worm was
inch long. What is the
13
difference in the lengths of the worms?
10. Identify all sets to which the number belongs.: 2
11. Estimate each square root to the nearest whole
number: 44
1
Name: ________________________
23. Planet A is
ID: A
36. Evan’s car gets approximately 23 miles per gallon.
How many feet can he drive with 1 pint of gas?
23
light-year from Earth. Planet B is
25
17
light-year from Earth. How much farther away
25
is Planet A than Planet B from Earth?
37. When Amy roller-skates, she moves 135 yards per
minute. What is her speed in miles per hour?
Round your answer to the nearest hundredth.
38. Cameron is constructing a model of Mount
Rushmore. The scale he is using is 2 inches = 15
feet. If the model of President George Washington's
mouth is 19 inches wide, how wide is Washington's
mouth at Mount Rushmore?
3
inches long.
5
1
Then he drew a green line that was 7 inches long.
5
How much longer was the black line than the green
line?
24. Bob drew a black line that was 11
39. A tree that is 25 feet tall casts a 40-foot shadow. At
the same time, another tree casts a 30-foot shadow.
How tall is the second tree?
25. Solve: 7z + 6 = 48
26. Solve:
c
−6
27. Solve:
b
6
− 9 = 10
+
4b
3
−
4
2
40. ∆ABC ∼ ∆XYZ . Find XY.
=b+
5
6
28. Solve: 8(d + 8) = 2(d − 8) + 6d
29. Solve: 5(n + 8) = 4 − 3(n − 4)
30. Solve: −9d − 15 = −3(d + 5) − 6d
31. Solve and graph: 2 >
j
−2
−6
32. Solve and graph: 2b + 1 ≤ 21
33. Translate into an equation and find the number:
Seven times a number plus the sum of three and
twice a number is 30.
41. Darron uses a family recipe to make hamburgers. If
1
he plans on using 1 cups of bread crumbs, about
3
how many pounds of hamburger does Darron need
to use to keep the relationship between bread
crumbs and hamburger proportional?
34. Solve by writing and solving an equation:
Together Sarah and Juan ate twenty-six crackers. If
Juan ate four more than Sarah, how many crackers
did Sarah eat?
35. Find the unit rate if Ramon drives his car 275 miles
in 5 hours. Show the answer in fraction and word
form.
Bread Crumbs (c)
Hamburger (lb)
2
1
4
1
1
2
2
3
4
3
Name: ________________________
ID: A
42. 3 is what percent of 90?
49. What percent of the students on the basketball team
have a shoe size that is at least an 11?
Shoe Sizes of Players on a Basketball Team
43. 192 is 100% of what number?
44. Find the percent of change from 93 to 60.
45. Sandra gave a tip of 11% to the delivery person
who delivered her car after service at a cost of
$275. What will be the total cost with tip to the
nearest cent?
50. Identify the outlier in the data set
15, 6, 3, 5, 17, 145, 8. Then, find the mean and
median with and without the outlier. If necessary,
round your answers to the nearest tenth.
46. Katherine wants to buy a shelf that costs $155.99
and is on sale for 15% off. The sales tax in her city
is 8.25%. What is the total cost of the shelf?
51. Use the table below to answer the following
questions. The table shows the height and weight of
the dogs of nine of Howi’s friends.
47. If a bank offers a savings account that pays simple
interest rate of 8% and you deposit $375.00 into
this account, how much interest will you have
earned after 1 years?
Dog
1
2
3
4
5
6
7
8
9
Transit of Mercury
2003–2098 (Duration in Hours)
Stem Leaf
3 0 7
4 0 4
5 0 2 3 4 4 5
6 2 7 7 7
7 5 5
5|3 = 5.3 hours
Height (in.)
15
28
8
20
35
24
11
32
16
Weight (lb.)
22
65
11
42
92
54
15
84
35
A. Make a scatter plot of the data.
B. Does there appear to be a relationship between
the data? Explain. (Hint: you may want to
sketch a scatter plot to help see the
relationship.)
C. Suppose a dog is 30 inches tall. Predict the
weight of the dog. (Hint: you may want to
sketch a scatter plot to help see the
relationship.)
48. What is the median duration of the transits of
Mercury across the sun?
Make a box-and-whisker plot of the data.
52. 18, 26, 13, 21, 27, 13, 16, 12
3
Name: ________________________
ID: A
53. The two box-and-whisker plots below show the times in seconds for two teams in a 100 m dash. What do the
interquartile ranges tell you about the two teams?
60. Suppose you flip a coin and roll a number cube.
What is the probability of having tails come up on
the coin and an odd number on the number cube?
54. Identify the sample as biased or unbiased and
describe its type:
Tia surveyed every third house in the locality to
determine the number of people who own pets.
61. Suppose you choose a marble from a bag
containing 3 red marbles, 2 white marbles, and 7
blue marbles. You return the first marble to the bag
and then choose again. Find P(red and blue).
55. Identify the sample as biased or unbiased and
describe its type:
To determine the popularity of a TV show, the
viewers were asked to send their opinions via
e-mail or text messages.
There are 6 blue marbles, 7 black marbles, 4
orange marbles, and 3 green marbles in a bag.
Once a marble is drawn, it is replaced. Find the
probability of the outcome.
56. Identify the sample as biased or unbiased and
describe its type:
To determine whether students would choose
engineering as their profession, equal number of
boys and girls were surveyed in a school.
62. P(a black then a blue marble)
63. P(a blue marble, an orange marble, and then a
green marble)
57. To select most famous face of a town, a telephone
survey is done. In the survery, 1 out of every 20
numbers from directory is dialed. If 200 out of 350
choose Veronica, can we say Veronica’s is the
most famous face in town? Identify the type of
sampling technique used.
There are 2 green marbles, 4 blue marbles, 1 red
marble, and 8 yellow marbles in a bag. Once a
marble is drawn, it is NOT replaced. Find the
probability of the outcome.
58. Use the Fundamental Counting Principle to find the
number of possible outcomes. Isabelle has a choice
of 4 colors of pants, 5 colors of shirts, and 2 kinds
of shoes. How many different outfits can she wear?
64. P(two green marbles in a row)
65. P(a yellow marble then a red marble)
A card is drawn from a deck of cards numbered
one through twenty. The card is NOT replaced
and another card is drawn. Find the probability
of the outcome.
59. A basket contains 10 pieces of fruit: 4 apples, 4
oranges, and 2 bananas. Jonas takes a piece of fruit
at random from the basket, and then Beth takes a
piece at random. What is the probability that Jonas
will get an orange and Beth will get an apple?
66. P(a prime number is drawn and then a composite
number)
67. P(two even numbers are drawn in a row)
4