Final Review For Algebra Quiz

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Name:
Class:
Date:
Unit 1-4 review for District Assessement
Indicate the answer choice that best completes the statement or answers the question.
Divide. Write your answer in simplest form.
1.
a.
b.
c. 1
d. 0
ANIMALS Refer to the table on lengths of some animals with long tails. Determine if the pair of animals has
the same ratio of body length to tail length. Choose the correct explanation.
2. brown rat and opossum
a. Yes; the ratios form equivalent fractions.
b. No; the ratios do not form equivalent fractions.
Divide. Write your answer in simplest form.
3.
a.
b.
c.
d.
4. CELL PHONE Tiffany pays $40 for 160 minutes of talk time on her cell phone. How many minutes of talk time does
she get per dollar?
a. 2 minutes
b. 3 minutes
c. 4 minutes
d. 6 minutes
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Page 1
Name:
Class:
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Unit 1-4 review for District Assessement
Multiply. Write in simplest form.
5.
a.
b.
c.
d.
6. DISTANCE If 10 miles is about 16 kilometers and the distance between two towns is 45 miles, use a ratio table to find
the distance between the towns in kilometers. Explain your reasoning.
a. 64 km; If 10 mi is about 16 km, 80 mi is about 128
b. 68 km; If 10 mi is about 16 km, 90 mi is about 136
km. Since 40 mi is half of 80 mi, or 80 2, the
km. Since 45 mi is half of 90 mi, or 90 2, the
distance in km must also be half, or 128 2.
distance in km must also be half, or 136 2.
c. 72 km; If 10 mi is about 16 km, 90 mi is about 144
d. 84 km; If 10 mi is about 16 km, 90 mi is about 168
km. Since 45 mi is half of 90 mi, or 90 2, the
km. Since 45 mi is half of 90 mi, or 90 2, the
distance in km must also be half, or 144 2.
distance in km must also be half, or 168 2.
Multiply. Write in simplest form.
7.
a.
b.
c.
d.
8. LAND A field has an area of
a.
c.
mi
mi
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b.
d.
square mile. Find the width of the field if the length is
mile long.
mi
mi
Page 2
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Unit 1-4 review for District Assessement
Use the ratio table given to solve the problem.
9. BOOKS A book store bought 160 copies of a book from the publisher for $4,000. If the store gives away 2 books, how
much money will it lose?
a. $100
c. $25
b. $50
d. $20
Write the rate as a unit rate.
10. $46 for 5 toys
a.
b.
c.
d.
Divide. Answer in simplest form.
11.
a. 20
c. 40
b. 16
d. 32
Multiply. Write in simplest form.
12.
a.
b.
c.
d.
13. LAUNDRY A basket of laundry is being separated. Divide 48 pieces of clothing into 2 groups so the ratio is 1 to 3.
a. 15 pieces in the first group and 45 pieces in the
b. 10 pieces in the first group and 38 pieces in the
second group.
second group.
c. 16 pieces in the first group and 32 pieces in the
d. 12 pieces in the first group and 36 pieces in the
second group.
second group.
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Name:
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Unit 1-4 review for District Assessement
Multiply. Write in simplest form.
14.
a. 6
c.
b.
or
d.
Multiply. Write in simplest form.
15.
a.
b.
c.
d.
16.
a. 5
b. 12
c.
d.
Multiply. Write in simplest form.
17.
a.
b.
c.
d.
18. TRUCKING A truck driver drove 300 miles in
a. 50 mph
b.
mph
c.
d.
mph
mph
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hours. How many miles per hour did the driver drive?
Page 4
Name:
Class:
Date:
Unit 1-4 review for District Assessement
Divide. Answer in simplest form.
19.
a. 6
b. 12
c. 3
d.
20. BREAKFAST Franco is making breakfast. He uses 36 eggs for 12 orders. How many eggs does he use per order?
a. 6 eggs
b. 5 eggs
c. 4 eggs
d. 3 eggs
21. FOOD At the potluck, there were 6 pecan pies, 7 lemon pies, 13 cherry pies, and 8 apple pies. Find the ratio of apple
pies to the total number of pies. Write each ratio in simplest form. Then explain its meaning.
a.
3 to 17, or 3:17; This means 3 out of every 17
b.
pies were apple pies.
c.
5 to 17, or 5:17; This means 5 out of every 17
pies were apple pies.
4 to 17, or 4:17; This means 4 out of every 17
pies were apple pies.
d.
8 to 35, or 8:35; This means 8 out of every 35
pies were apple pies.
Divide. Answer in simplest form.
22.
a.
b.
c.
d.
23.
a. 1
b. 5
c. 10
d.
24. HAMBURGERS Mrs. Farley made 72 ounces of hamburger into 24 meat patties. How many ounces of hamburger are
in each meat patty?
a. 2 ounces
b. 3 ounces
c. 4 ounces
d. 6 ounces
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Page 5
Name:
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Unit 1-4 review for District Assessement
Divide. Write your answer in simplest form.
25.
a.
b.
c. 18
d.
26.
a.
b.
c.
d.
Divide. Answer in simplest form.
27.
a.
b. 24
c. 8
d.
Multiply. Write in simplest form.
28.
a.
b.
c.
d.
Divide. Write the answer in simplest form.
29.
a.
b.
c.
d.
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Page 6
Name:
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Unit 1-4 review for District Assessement
Multiply. Write in simplest form.
30.
a.
b.
c.
d.
Divide. Write your answer in simplest form.
31.
a.
b.
c.
d.
Multiply. Write in simplest form.
32.
a.
b.
c.
d.
Divide. Write your answer in simplest form.
33.
a. 6
b.
c.
d.
Divide. Answer in simplest form.
34.
a. 8
c. 16
b. 12
d. 24
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Unit 1-4 review for District Assessement
35. WIRE Carmen cuts a 60-inch-long wire into pieces that are
a. 45 pieces
c. 75 pieces
inch long. How many pieces does she have?
b. 60 pieces
d. 80 pieces
Solve.
36. BIRDS The ruby-throated hummingbird has a wing beat of about 200 beats per second. About how many wing beats
would a hummingbird have in 3 minutes?
a. about 28,000 wing beats
b. about 32,000 wing beats
c. about 36,000 wing beats
d. about 38,000 wing beats
37. SALARY Luz earns $400 for 40 hours of work. Use a ratio table to determine how much she earns for 6 hours of
work.
a. $60
b. $80
c. $100
d. $120
38. BAKERY Rolls are being prepared to go to grocery stores. Divide 72 rolls into 2 groups so the ratio is 3 to 5.
a. 27 rolls in the first group and 45 in the second
b. 25 rolls in the first group and 47 in the second group.
group.
c. 27 rolls in the first group and 47 in the second
d. 30 rolls in the first group and 42 in the second group.
group.
Divide. Write the answer in simplest form.
39.
a.
b.
c. 4
d.
Solve.
40. MAMMALS A pronghorn antelope can travel 105 miles in 3 hours. If it continued traveling at the same speed, how far
could a pronghorn travel in 11 hours?
a. 315 mi
b. 385 mi
c. 420 mi
d. 435 mi
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Unit 1-4 review for District Assessement
Find the reciprocal of the number.
41.
a. 2
b.
c. 4
d.
Divide. Write your answer in simplest form.
42.
a.
b.
c.
d.
43.
a.
b.
c.
d.
Multiply. Write in simplest form.
44.
a.
b.
c.
d.
45. CLASSES A school has 825 students and 55 teachers. How many students are there per teacher?
a. 10 students
b. 15 students
c. 20 students
d. 25 students
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Page 9
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Unit 1-4 review for District Assessement
Write the rate as a unit rate.
46. 3 inches of rain in 6 hours
a.
b.
c.
d.
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Unit 1-4 review for District Assessement
RECIPES Use the following information.
A soup that serves 16 people calls for 2 cans of chopped clams, 4 cups of chicken broth, 6 cups of milk, and 4 cups of
cubed potatoes.
47. Which ratio table to represents this situation?
a.
b.
c.
d.
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Page 11
Name:
Class:
Date:
Unit 1-4 review for District Assessement
Multiply. Write in simplest form.
48.
a.
b.
c. 3
d.
49. PARTY For a party, 20 sandwiches are being made. If each sandwich is cut into thirds, how many sandwich pieces are
there?
a.
sandwich pieces
c. 60 sandwich pieces
b. 40 sandwich pieces
d. 120 sandwich pieces
Multiply. Write in simplest form.
50.
a.
b. 2
c.
d.
Multiply. Write in simplest form.
51.
a. 24
c. 3
b. 4
d. 6
a.
b.
c.
d.
52.
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Unit 1-4 review for District Assessement
Divide. Write your answer in simplest form.
53.
a.
b. 10
c.
d.
Divide. Answer in simplest form.
54.
a.
b.
c.
d.
Divide. Write your answer in simplest form.
55.
a.
b.
c.
d.
Use the ratio table given to solve the problem.
56. CAMPING To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many
tablets do you need to disinfect 4 quarts?
a. 4 tablets
c. 8 tablets
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b. 6 tablets
d. 10 tablets
Page 13
Name:
Class:
Date:
Unit 1-4 review for District Assessement
Multiply. Write in simplest form.
57.
a.
b.
c.
d.
58.
a.
or
b.
c.
d.
59.
a.
b.
c.
d.
Find the reciprocal of the number.
60.
a.
b.
c. 3
d.
Divide. Write the answer in simplest form.
61.
a. 8
b. 6
c.
d.
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Page 14
Name:
Class:
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Unit 1-4 review for District Assessement
Use the ratio table given to solve the problem.
62. BIRDS An ostrich can run at a rate of 50 miles in 60 minutes. At this rate, how long would it take an ostrich to run 15
miles?
a. 12 min
c. 18 min
b. 15 min
d. 21 min
Multiply. Write in simplest form.
63.
a.
b.
c.
d.
Solve.
64. MEAT Hamburger sells for 3 pounds for $6. If Samantha buys 10 pounds of hamburger, how much will she pay?
a. $10
b. $13
c. $15
d. $20
Multiply. Write in simplest form.
65.
a.
b.
c.
d.
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Name:
Class:
Date:
Unit 1-4 review for District Assessement
Multiply. Write in simplest form.
66.
a.
b.
c.
d.
Divide. Answer in simplest form.
67.
a. 18
b.
c. 12
d.
Determine if the pair of ratios or rates is equivalent. Show how you got your answer.
68. 20 out of 45 students attended the concert; 12 out of 25 students attended the concert
a. No;
and
are not equivalent.
b. Yes;
and
are equivalent.
69. SCHEDULES A bus makes 28 stops every 2 hours. How many stops does it make in 3 hours? in 4 hours?
a. 28 stops; 42 stops
c. 36 stops; 48 stops
b. 42 stops; 56 stops
d. 48 stops; 64 stops
Divide. Answer in simplest form.
70.
a.
b.
c.
d.
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Name:
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Date:
Unit 1-4 review for District Assessement
RECIPES Use the following information.
A soup that serves 16 people calls for 2 cans of chopped clams, 4 cups of chicken broth, 6 cups of milk, and 4 cups of
cubed potatoes.
71. How much of each ingredient would you need to make an identical recipe that serves 24 people? Explain your
reasoning.
a. 1 can clams, 2 cups broth, 3 cups milk, 2 cups
b. 3 cans clams, 6 cups broth, 9 cups milk, 6 cups
potatoes; Since 24 is 2 times 12, multiply the
potatoes; Since 24 is three times 8, multiply the
ingredients for 12 servings by two.
ingredients for 8 servings by three.
c. 1 can clams, 2 cups broth, 3 cups milk, 2 cups
d. 6 cans clams, 12 cups broth, 18 cups milk, 12 cups
potatoes; Since 24 is 4 times 6, multiply the
potatoes; Since 24 is three times 8, multiply the
ingredients for 6 servings by 4.
ingredients for 8 servings by three.
Multiply. Write in simplest form.
72.
a. 1
b.
c.
d.
Find the reciprocal of the number.
73.
a.
b.
c. 9
d.
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Unit 1-4 review for District Assessement
ANALYZE TABLES Refer to the table showing tide pool animals. Write the ratio in simplest form.
74. Find the ratio of snails to the total number of animals. Then explain its meaning.
a.
; 9 to 26, or 9:26; This means that 9 out of 26
b.
animals are snails.
c.
; 9 to 22, or 9:22; This means that 9 out of 22
animals are snails.
; 18 to 53, or 18:53; This means that 18 out of 53
animals are snails.
d.
; 9 to 28, or 9:28; This means that 9 out of 28
animals are snails.
Divide. Answer in simplest form.
75.
a.
b. 20
c. 40
d. 400
Divide. Write your answer in simplest form.
76.
a.
b. 2
c.
d. 14
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Unit 1-4 review for District Assessement
Multiply. Write in simplest form.
77.
a.
b.
c.
d.
78. MODEL TRAINS Hiroshi has 4 engines and 18 box cars. Find the ratio of engines to box cars. Write the ratio as a
fraction in simplest form. Then explain its meaning.
a.
; This means for every 1 engine, there are 9 box
cars.
c.
b. ; This means for every 2 engines, there are 9 box
cars.
; This means for every 1 engine, there are 3 box
cars.
d. ; This means for every 1 engine, there are 4 box
cars.
Divide. Write the answer in simplest form.
79.
a.
b.
c.
d.
80. PICNICKING An average ant is
blanket?
a. 576 ants
c. 18 ants
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inch long. A picnic blanket is 72 inches long. How many ants long is the picnic
b. 288 ants
d. 144 ants
Page 19
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Unit 1-4 review for District Assessement
ANIMALS Refer to the table on lengths of some animals with long tails. Determine if the pair of animals has
the same ratio of body length to tail length. Choose the correct explanation.
81. hamster and lemming
a. Yes; the ratios have the same unit rate,
b. No; the ratios do not have the same unit rate,
Multiply. Write in simplest form.
82.
a.
b.
c.
d.
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Unit 1-4 review for District Assessement
Use the table to answer the question. The table shows the vehicles
that passed Luann on the highway.
83. At this rate, how many minivans would pass Luann if 60 vehicles passed her?
a. 18
b. 20
c. 24
d. 32
84. SPORTS Of the sixth graders in a school,
play at least one sport. Of those,
play on a team. What fraction of the
sixth graders play a sport on a team?
a.
b.
c.
d.
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Unit 1-4 review for District Assessement
ANIMALS Refer to the table on lengths of some animals with long tails. Determine if the pair of animals has
the same ratio of body length to tail length. Choose the correct explanation.
85. opossum and prairie dog
a. Yes; the ratio for the opossum is equivalent to
the ratio for the prarie dog.
b. No; the ratio for the opossum is , but the ratio for the
prairie dog is . These are not equivalent fractions.
Refer to the table showing the statistics of women’s baseball teams.
86. Which team has the best record? Explain how you know.
a. Jules’ Rules; For every three games that they played,
they only lost 1.
c. Pink Sox; For every four games that they played, they
only lost 1.
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b. High-5s; For every nine games that they played,
they only lost 1.
d. Go-Girls; For every ten games that they played,
they only lost 1.
Page 22
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Unit 1-4 review for District Assessement
87. For each team, find the unit rate games per loss.
a. Jules’ Rules: ; Pink Sox:
Go-Girls: ; High-5s:
b. Jules’ Rules: ; Pink Sox:
Go-Girls: ; High-5s:
c. Jules’ Rules: ; Pink Sox:
Go-Girls: ; High-5s:
d. Jules’ Rules: ; Pink Sox:
Go-Girls: ; High-5s:
Multiply. Write in simplest form.
88.
a.
b.
c.
d.
Divide. Answer in simplest form.
89.
a.
b.
c.
d.
Determine if the pair of ratios or rates is equivalent. Show how you got your answer.
90. 18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours
a. Yes; the ratios share the same unit rate.
b. No; the ratios do not share the same unit rate.
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Unit 1-4 review for District Assessement
ANALYZE TABLES Refer to the table showing tide pool animals. Write the ratio in simplest form.
91. Find the ratio of limpets to snails. Then explain its meaning.
a.
9 to 7, or 9:7; This means there are 9 limpets for
b.
every 7 snails.
c.
3 to 5, or 3:5; This means there are 3 limpets for
every 5 snails.
1 to 3, or 1:3; This means there are 1 limpets for
d.
every 3 snails.
7 to 9, or 7:9; This means there are 7 limpets for
every 9 snails.
92. INSECTS An average ant is
inch long. An average aphid is
inch long. How many times longer is an average ant
than an average aphid?
a.
c.
times longer
times longer
b.
times longer
d.
times longer
93. LUMBER A lumber yard has a scrap sheet of plywood that is
inches by
inches. What is the area of the
plywood?
a.
c.
in
in
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b.
in
d.
in
Page 24
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Unit 1-4 review for District Assessement
94. LANDSCAPING A planter box in the city plaza measures
feet by
feet by
feet. Find the volume of the
planter box.
a.
c.
ft
b.
ft
d.
ft
ft
Find the reciprocal of the number.
95.
a. 2
b.
c.
d.
Divide. Write the answer in simplest form.
96.
a.
b.
c.
d.
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Unit 1-4 review for District Assessement
Use the table to answer the question. The table shows the vehicles
that passed Luann on the highway.
97. Luann predicted that if a certain number of vehicles passed her by, 42 of them would be SUVs. What was that
certain number of vehicles she had in mind?
a. 90
b. 125
c. 135
d. 145
RECIPES Use the following information.
A soup that serves 16 people calls for 2 cans of chopped clams, 4 cups of chicken broth, 6 cups of milk, and 4 cups of
cubed potatoes.
98. How much of each ingredient would you need to make an identical recipe that serves 8 people? 32 people?
a. 2 can clams, 4 cups broth, 6 cups milk, 4 cups
b. 1 can clams, 2 cups broth, 3 cups milk, 2 cups
potatoes;
potatoes;
4 cans clams, 8 cups broth, 12 cups milk, 8 cups
4 cans clams, 8 cups broth, 12 cups milk, 8 cups
potatoes
potatoes
c. 1 can clams, 2 cups broth, 3 cups milk, 2 cups
d. 2 can clams, 4 cups broth, 6 cups milk, 4 cups
potatoes;
potatoes;
8 cans clams, 16 cups broth, 24 cups milk, 16 cups
8 cans clams, 16 cups broth, 24 cups milk, 16 cups
potatoes
potatoes
Multiply. Write in simplest form.
99.
a.
b.
c.
d.
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Unit 1-4 review for District Assessement
Answer Key
1. c
2. a
3. b
4. c
5. b
6. c
7. c
8. a
9. b
10. c
11. a
12. d
13. d
14. b
15. c
16. b
17. a
18. d
19. b
20. d
21. b
22. a
23. b
24. b
25. d
26. a
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Unit 1-4 review for District Assessement
27. a
28. c
29. c
30. c
31. d
32. c
33. c
34. b
35. d
36. c
37. a
38. a
39. d
40. b
41. a
42. c
43. c
44. b
45. b
46. a
47. d
48. c
49. c
50. a
51. d
52. c
53. d
54. d
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Unit 1-4 review for District Assessement
55. d
56. c
57. d
58. b
59. c
60. b
61. a
62. c
63. c
64. d
65. a
66. c
67. a
68. a
69. b
70. a
71. b
72. b
73. c
74. a
75. c
76. b
77. a
78. b
79. b
80. b
81. a
82. a
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Unit 1-4 review for District Assessement
83. b
84. b
85. b
86. b
87. a
88. b
89. c
90. a
91. d
92. a
93. b
94. c
95. d
96. b
97. c
98. b
99. d
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