Download C.3-4 Exam Review - Mrs. McDonald

PreAlgebra Semester 1 Exam C.3-4 Review
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
____
1. Which pair of numbers, when included with 6, 8, 10, 14, and 18, will raise the value of BOTH the mean and
median?
a. 14 and 15
b. 1 and 10
c. 7 and 15
d. 8 and 14
Choose a reasonable estimate.
____
____
____
____
____
____
2. the height of a fire hydrant
a. 70 mm
b. 70 cm
c. 70 m
d. 70 km
3. the mass of a baby
a. 7 kg
c. 7 L
d. 7 kL
4. Which statement is NOT true?
a. 3.6 kg = 3,600 g
b. 300 mL < 2 L
c. 1.5 g > 50 mg
d. 3.7 cm > 45 mm
5. Which number is divisible by 5?
a. 90
b. 124
c. 71
d. 143
6. Which number is divisible by 3?
a. 112
b. 95
c. 132
d. 61
c.
d.
7. Which fraction is equivalent to
a.
____
b. 7 g
?
b.
8. Which fraction is not equivalent to
?
a.
b.
Short Answer
Write using exponents.
9. (–4)(–4)
10. (x)(x)(y)(y)(y)(y)(y)(y)
Simplify.
11.
12.
13.
14.
15.
Evaluate.
16.
c.
d. all of these
17.
State whether the number is prime, composite, or neither.
18. 17
Find the GCF.
19. 32 and 44
20. 40x4 and 36x5
21. Write
in simplest form.
Graph on a number line.
22.
2
5
8
23. –0.7
Evaluate. Write in simplest form.
24.
25.
for x = 4, y = 64, and z = 3
Simplify the expression.
26.
27.
Write the expression without the fraction bar.
28.
29. Write 241,000,000 in scientific notation.
30. Write 0.0000000499 in scientific notation.
31. Write
32. Write
33. Multiply
in standard notation.
in standard notation.
. Express the result in scientific notation.
34. Identify the underlined place in 57.215. Then round the number to that place.
35. Round 8.556 to the underlined place.
36. Estimate
by rounding before you add or subtract.
37. Estimate
using clustering.
38. A city has an average yearly temperature of 67.65 . The average yearly temperature in another city is
46.68 . Use rounding to estimate the difference in average yearly temperature between the two cities.
39. You want to buy 8 CDs for $15.19 each. Estimate the total cost.
40. Estimate
using compatible numbers.
41. The number of patients treated at Dr. McCormick’s dentist office each day was recorded for nine days. These
are the data: 12, 6, 20, 20, 11, 6, 8, 9, 6. Find the mean, median, and mode of the data. If necessary, round to
the nearest tenth.
How many modes, if any, does the group of data have?
42. 66, 51, 84, 56, 66, 49, 56, 50
43. Find the outlier in the data: 15, 0, 17, 21, 21, 12, 19, 14. How does the outlier affect the mean?
44. Which measure of central tendency best describes this situation: the ages of students in an eighth-grade class?
Explain.
45. The table shows golf scores for each player in an amateur golf tournament. What is the mean golf score for
Rob, Jo Ann, Hector, and Ed for games 1 and 2?
Player
Rob
Jo Ann
Ed
Hector
Game 1
106
90
102
96
46. Use the formula
47. The formula
Game 2
92
104
97
107
Game 3
94
96
89
103
Game 4
87
88
101
101
. Find t for r = 35.7 m/h and d = 328.44 m.
estimates the temperature F in degrees Fahrenheit when crickets chirp n times per
minute. Use the formula to estimate the temperature when n = 137 chirps/min. Round to the nearest whole
number, if necessary.
48. Use the formula
Solve the equation.
49.
50.
51.
52.
. Find the perimeter of a rectangle with a length of 7.3 ft and a width of 18.5 ft.
53.
54. Write an equation for the sentence “A number n divided by 4.4 equals 20.6.” Solve for the variable.
55. Choose an appropriate metric unit for the height of a giraffe.
Complete the statement.
56. 302.2 g =
mg
57. 0.946 L =
kL
Solve by simplifying the problem.
58. There are 12 students in Mr. Alvarez’s art class. Throughout the year, every student must pair up with every
other student to complete a project. How many projects will be finished?
59. Five people are at a party. Everyone shakes hands once with everyone else. How many handshakes are there?
Show your work.
60. Find the missing digit to make 23,78_ divisible by 9.
Other
61. Explain whether it is easier to estimate the product
rounding each factor to the nearest whole number.
by using compatible numbers or by
62. Explain why a teacher might use the median instead of the mean as the measure of central tendency for a set
of grades on a particular test. Give a specific example.
63. Is 3761 divisible by 9? How do you know?
Essay
64. Summarize the order of operations for evaluating expressions.
PreAlgebra Semester 1 Exam C.3-4 Review
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
A
B
A
D
A
C
A
C
SHORT ANSWER
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
640
24
531,441
4
23
29
prime
4
4x4
5
21.
11
22.
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
23.
24. 1
25. 20
26.
27.
28.
29.
30.
31. 83,200
32. 0.0000000889
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
tenths; 57.2
8.6
about 16
about 108
about 21
about $120
about 3
10.9, 9, 6
3 modes
0; lowers it by 2.1.
Mean; there likely are no outliers.
99
9.2 h
71
51.6 ft
12
25.26
–9.19
–2
–16.45
; 20.6
meter
302,200
0.000946
66 projects
Pairs of numbers represent a handshake between the two people.
1-2, 1-3, 1-4, 1-5
2-3, 2-4, 2-5
3-4, 3-5
4-5
There are 10 handshakes in all.
60. 7
OTHER
61. Answers will vary. Sample: It is easier to use compatible numbers. Rounding each factor to the nearest whole
number results in the expression
, which is simpler than the original expression, but still difficult to
compute mentally. Changing the factors to compatible numbers might produce
, which is the easiest
of the three expressions to compute.
62. Answers may vary. Sample: If there is a large range of scores or a few outliers, the median may be a better
measure of the class score than the mean. For example, for the scores 90, 85, 88, 75, 15, 92, and 87, the mean
is 76 and the median is 87. The outlier, 15, made the mean lower than most of the grades. The median is a
more accurate measure of the class score.
63. No; the sum of the digits is not divisible by 9.
ESSAY
64.
[4]
[3]
[2]
[1]
Answers may vary. Sample:
1. Work inside grouping symbols.
2. Simplify any terms with exponents.
3. Multiply and divide in order from left to right.
4. Add and subtract in order from left to right.
missing one operation
one error in the order
two errors in the order