MJ 1A Second Semester Review 1. Solve:

Transcription

MJ 1A Second Semester Review 1. Solve:
MJ 1A
Second Semester Review
1. Solve:
2. If
, what is the value of
A. 7
?
B. 8
C. 11
D. 12
C. 15
D. 36
3. Solve.
4. Which value of
makes this equation true
A. 4
B. 9
?
5. Mia bought 5 packs of gum. After giving 13 pieces of gum to her sister, she put the
remaining 27 pieces in her backpack. Which equation could be used to find the number of
pieces(n) in each pack?
A.
C.
B.
D.
6. Which equation can be used to find out how much money Emma gave the cashier if she
spent $8.00 on a headband and $6.00 on earrings, and she received $11.00 in change?
A.
C.
B.
D.
7. Solve.
8. Jill drinks 8 glasses of water a day. Which equation could be used to determine the
amount of glasses, , Jill drinks for any number of days, .
A.
C.
B.
D.
1
MJ 1A
Second Semester Review
9. You earn $2.00 for every candy bar you sell plus $10.00 per week. How many candy bars
should you sell in order to earn more than $40.00 per week?
A.
C.
B.
D.
10. Solve the inequality.
11. Solve and graph the inequality.
12. Which graph represents the solution to the inequality
A.
B.
C.
D.
48
49
50
51
48
49
50
51
52
48
49
50
51
52
48
49
50
51
52
?
52
2
MJ 1A
Second Semester Review
13. Write the inequality represented by the following graph.
0
1
2
3
4
5
6
7
8
9
10
14. Which inequality is represented by the solution graphed on the number line? (you may
select more than one answer)
0
1
2
3
4
5
6
7
8
9
A.
C.
B.
D.
10
15. Anna needs to save at least $100 in the next 4 weeks. She already has $20 saved. Which
inequality represents the amount of money Anna would need to save each week?
A.
C.
B.
D.
16. A child’s ticket at Disney World is for children younger than ten. Which inequality
would represent the age of a child who could purchase a child’s ticket at Disney.
A.
C.
B.
D.
17. Jorge earns $3 each time he sweeps and mops the family room floor. He is trying to earn
at least $20 dollars for the end of year school fair but he still owes his mother $4 for an
app he downloaded to his phone. Write an inequality to determine how many times he
must sweep and mop to pay back his mother and have at least $20 for the fair.
18. The American Heart Association recommends that less than 30% of your daily caloric
intake comes from dietary fat. Graph an inequality to represent this limit.
0
10
20
30
40
50
60
3
MJ 1A
Second Semester Review
19. The table shows the number of people that attended basketball games at the high school.
In the inequality,
Week
# of People
1
35
2
43
3
72
4
76
5
95
represents the attendance at a game:
. Which week had a
number that is a solution to the inequality?(you may select more than one answer)
A. Week 1
C. Week 4
B. Week 3
D. Week 5
20. What is the next term in the sequence:
?
21. Write the rule and then find the value of the ninth term in the sequence.
Position
4
5
6
7
Value of term
3
4
5
6
22. Complete the function table.
Output
Input ( )
2
3
4
23. Which equation represents the function?
A.
Input ( )
Output ( )
B.
1
4
C.
3
6
5
8
7
10
D.
4
MJ 1A
Second Semester Review
24. The table below shows the relationship between the number of raffle tickets Toni sold
and the amount of money she collected. If
stands for the total amount collected and
stands for the number of tickets sold, write an equation that shows the relationship
between
and .
Number of Tickets ( )
1
2
3
4
5
Amount Collected ( )
$4
$8
$12
$16
$20
25. Aimee drank 8 ounces of water for every hour she hiked. The graph below models the
relationship between the number of hours ( ) Aimee hiked, and the number of ounces of
water ( ) Aimee drank. Which of the following equations models this relationship?
50
y
45
40
Water
35
30
25
20
15
10
5
1
A.
2
3
4
Hours
B.
x
5
C.
D.
26. The table shows the amount it costs to jump at BOING!, based on the number of hours
you use the trampoline. Write the equation to find the total cost(y) for jumping
Hours ( )
Total Cost ( )
1
9
2
18
3
27
4
36
hours?
5
MJ 1A
Second Semester Review
27. The table represents a linear
relationship.
1
0
What is the value of x when y is 6?
3
4
6
8
14
28. What is the equation for this function?
1
5
2
8
3
11
4
14
5
17
29. Write an equation that represents the linear pattern in the table.
y
4
5
6
7
3
8
13
18
30. Four data points representing a function are graphed on the coordinate plane. Complete
the function table and then write a rule for the relationship
x
y
6
MJ 1A
Second Semester Review
31. Determine the function shown in the table and on the graph. Write the equation that
represents the function.
0
1
1
2
2
3
3
4
32. Find the area of a parallelogram with a base of 12 inches and a height of 6 inches.
33. Kim used a piece of paper shaped like a parallelogram to make a flyer. The height of the
paper is 20 centimeters and the area is 680 square centimeters. What is the base of the
piece of paper?
Vote Kim 4 Class
President
20 cm
b
A. 30 cm
C. 660 cm
B. 34 cm
D. 13,600 cm
34. What is the area of a square with a side of 3 inches?
A. 9 in2
C. 36 in2
B. 12 in2
D. 6 in2
7
MJ 1A
Second Semester Review
35. Coach Basketball set out three cones in the shape of a triangle. The cones at the base are
4 meters apart and and the top cone is 14 meters from the base. Find the area marked off
by the cones.
14 m
4m
36. Find the height of a triangle that has an area of 48 ft2 and a base of 8 ft.
A=48 ft2
8 ft
37. A flower garden is in the shape of a parallelogram. The base of the parallelogram is eight
feet, and its height is five feet. What is the area of the parallelogram?
5 ft.
8 ft.
38. The sail in Mrs. Serra’s sailboat is in the shape of a right triangle. What is the area of the
sail?
A. 35 sq. feet
20 ft.
B. 75 sq. feet
C. 150 sq. feet
15 ft.
D. 300 sq. feet
8
MJ 1A
Second Semester Review
39. For a class project Akelya is creating a personal flag. The piece of fabric she chose is
shown. What is the area of the flag Akelya is making ?
2 yds
4 yds
6 yds
40. A caution sign in the shape of a triangle has a base of 30 cm and an area of 180 cm2.Fnd
the height of the sign
30 cm.
41. The distance around a rectangular field is 340 yards. If the length of the field is 110
yards, what is the width in yards?
42. Which expression can be used to find the circumference of the circle shown?(you may
choose more than one answer)
A.
16
B.
C.
D.
43. Which equation could be used to find the area in square inches of a circle with a radius of
6 inches?
A.
C.
B.
D.
9
MJ 1A
Second Semester Review
44. The radius of a music CD is 6 centimeters. What is the circumference of a CD to the
nearest tenth? Use 3.14 for .
A. 9.42 cm
C.
37.7 cm
B. 18.8 cm
D. 452.2 cm
45. A dog’s leash allows him to walk in a circle. The leash is 6 ft. long. What is the area of
the circle the dog can walk? Use 3.14 for .
A. 18.84 sq. ft
B. 37.68 sq. ft
6
C. 113.04 sq. ft
D. 452.16 sq. ft.
46. Grandma made a strawberry pie with a diameter of 10 inches. She covered the top with
whipped cream. How many square inches of whipped cream would be needed to cover
the top of the pie?
47. Superior Middle School is tearing the carpet out of the classrooms and replacing it with
tile. The layout of 5 of the classrooms is diagramed here. How many square feet of tile
will be needed to completely tile all 5 classrooms?
20 ft
A. 300 sq. ft
B. 350 sq. ft
C. 1500 sq. ft
5 ft
5 ft
5 ft
5 ft
5 ft
5 ft
5 ft
5 ft
D. 1750 sq. ft
10
MJ 1A
Second Semester Review
48. Lynette is outlining arrow signs for her family’s yard sale with fluorescent tape. How
many feet of tape will she need to finish 10 signs?
12 in
8 in
10 in
6 in
12 in
8 in
10 in
49. Find the circumference of a circle with a diameter of 10 cm.
50. Find the perimeter of the figure to the nearest foot. Use
for π.
16’
14’
51. Mrs. Dimension is creating a vegetable garden on her property. The layout is shown
below. How many square meters of weed blocking fabric will she need to cover the
garden?
2m
6m
3m
12 m
11
MJ 1A
Second Semester Review
52. The community center for Watercrest has a large glass wall that looks out on the lake.
Find the area of the glass wall.
25 ft
15 ft
40 ft
53. Find the area of the composite figure.
6 yd
A. 12 yd2
B. 24 yd
2 yd
2
4 yd
C. 36 yd2
D. 48 yd2
6 yd
54. Find the area of the composite figure. Round to the nearest whole number.
8m
8m
55. Adonis is practicing for track season by running around the track every day during PE.
Find the distance he runs in one lap.
30 m
110 m
12
MJ 1A
Second Semester Review
56. George is building an herb garden planter in agriculture. To grow the herbs he has chosen
it will need to hold 192 cubic inches of soil. His teacher says he must leave a 2 inch space
at the top of the planter. If the base of the planter has a length of 12 inches and a width of
4 inches, how tall must the planter be?
A. 4 in
C. 16 in
B. 6 in
D. 48 in
57. The dimensions of an elephant cage are shown below. What is the volume of the cage?
A. 192 m3
B. 276 m
8m
3
C. 384 m3
4m
D. 768 m3
6m
58. Maria is constructing a small jewelery box for Mother’s Day. It is a rectangular prism
with a volume of 72 in3. If the height is 3 in and the width is 4 in, what length should
Maria use for the box?
59. Find the volume of the triangular prism.
10 ft
10 ft
14 ft
12 ft
8 ft
13
MJ 1A
Second Semester Review
60. To determine which air conditioning system must be purchased for an apartment above
the garage, the structural engineer must use the cubic footage in the space between the
ceiling of the garage and the roof of the building. For the faciltity shown here, find the
cubic footage of the attic space.
12 ft
26 ft
22 ft
61. A pizza box is 15 inches by 12 inches by 3 inches. What is the surface area of the pizza
15”
box?
3”
12”
62. The aquarium shown here is made entirely of glass, including a hinged glass cover.
Determine the surface area of the aquarium.
15 inches
10 inches
20 inches
14
MJ 1A
Second Semester Review
63. Match the net to its figure. Then determine the surface area of the figure.
a.
6 cm
4 cm
d.
15 cm
5 cm
5 cm
b.
e.
10 cm
10 cm
25 cm
14 cm
c.
f.
64. Which point on the graph represents the distance Greg swam after one hour?
y
8
C
Time in
Distance in
hours(x)
miles(y)
6
A
4
2
D
B
–6 –5 –4 –3 –2 –1
–2
1
2
3
4
5
6
x
–4
–6
–8
A. A
B. B
C. C
D. D
15
MJ 1A
Second Semester Review
65. A hiker descended at a rate of 200 feet in 5 hours. What was the average number of feet
that the hiker descended per hour?
A.
C.
B.
D.
66. Solve.
67. Solve.
A.
B.
C.
D. 20
2
68. The city of Phoenix, Arizona is located
of a mile above sea level. To get to Death
Valley, California you must lower your elevation
mile. What is Death Valley’s
elevation in miles?
A.
B.
C.
D.
69. Give the coordinates for each point shown.
A. ________
B. ________
C. ________
D. ________
16
MJ 1A
Second Semester Review
70. Which ordered pair is located within the trapezoid shown below?(you may select more
than one answer)
A. (
)
C. (
B. (
)
D. (
)
)
71. Daniel drew a circle on a grid, as shown below.
Which coordinates best represent the location of a point that is NOT on the circle?
A. (-3, 4)
B. (-1, 8)
C. (7, 4)
D. (8, 5)
17
MJ 1A
Second Semester Review
72. Graph and connect each set of points. Then find the perimeter of each polygon you drew.
a) (-4, -3); (-4, 1); (5, 1); (5, -3); (-4, -3)
b) (3, 1); (3, -2); (0, -2); (0,1); (3,1)
73. Ms. Atom’s science class sectioned of an area of the campus and made observations
about the habitat. Name the features that are 8 or more units from the antbed? (you may
select more than one answer)
74. Simplify.
A.
(
)
B.
C.
D.
18
MJ 1A
Second Semester Review
75. Identify the integers that form a zero pair. (you may choose more than one answer)
A. -7, 7
C. -11, 11
B. 0, 13
D.
76. The elevations of eight locations are shown. Which location’s elevations form a zero
pair?
Location
Elevation
Location
Elevation
Dead Sea
Death Valley
New Orleans
Vestfold Hills
- 400 meters
- 64 meters
- 2 meters
- 40 meters
Mauna Kea
Potomac River
Seoul
Montevideo
4207 meters
73 meters
64 meters
40 meters
77. Solve:
A. 6
B. 10
C. 60
D. 100
78. Kayla recorded the low temperatures in Anchorage, Alaska as a part of her science class.
The celsisus temperatures for 7 days were -11, -6, -7, -6, -9, -3 and -7. What was the
median temperature and the interquartile range for those five days?
79. Simplify the expression: |
|
|
|
80. Which of the following best represents the method for finding the value of -6 + 9 - 4 ?
19
MJ 1A
Second Semester Review
81. Order the following set of numbers from least to greatest:
A.
C.
B.
D.
(
82. Simplify.
|
83. Evaluate.
|
)
|
|
84. Simplify.
A.
B.
(
85. Simplify.
C.
D.
)
86. of the players on the basketball team fouled out. If 6 players fouled out, how many
players are on the team?
A. 3
B. 8
C. 14
D. 16
87. The temperature was only 2 ºF in Upper Michigan at noon. The temperature fell 4 ºF per
hour for the next 5 hours. What was the temperature at 5:00 pm?
A.
ºF
C.
B.
ºF
D.
ºF
ºF
20
MJ 1A
Second Semester Review
88. Jose and Juan are playing a card game where the rules allow one player to take points
from another player. At the end of the game Jose had a score of
of
and Juan had a score
. By how many points did Jose beat Juan?
89. Layla’s bank account had a balance of
for
. She deposited
, and then wrote a check
. What is the balance in her account now?
90. Solve:
Review from Semester 1 for items that will be piloted for next year.
91. Which of the following represents a statistical question? (There may be more than one
correct answer).
a. What was each day’s high temperature in Florida for June 2013?
b. What is the highest temperature on record in Florida for the month of June?
c. How many students in your math class went to the beach for Memorial Day
weekend?
d. What did the students in your math class do for Memorial Day weekend?
92. Identify each as a statistical question or not a statistical question.
a. Who was the first president of the United States?
b. How much time do the students in my school spend on the Internet each night?
c. What are the favorite theme parks of the students in your classroom?
d. What is the average water temperature of the Gulf of Mexico for the month of
June?
21
MJ 1A
Second Semester Review
22