Name: 
 

Algebra 1 Chapter 4



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Find the unit rate for number of parts manufactured per hour if 1630 parts are made in 6 hours. Round to the nearest integer.
a.
325 parts/h
b.
272 parts/h
c.
237 parts/h
d.
291 parts/h
 

 2. 

A 16-oz bottle of water costs $1.44. What is the cost per ounce?
a.
$0.09/oz
b.
$0.18/oz
c.
$0.90/oz
d.
$1.78/oz
 

 3. 

Write the conversion factor for converting meters to centimeters.
a.
mc003-1.jpg
b.
mc003-2.jpg
c.
mc003-3.jpg
d.
mc003-4.jpg
 

 4. 

Write the conversion factor for seconds to minutes. Use the factor to convert 135 seconds to minutes.
a.
mc004-1.jpg; 2 min
c.
mc004-3.jpg; 3.5 min
b.
mc004-2.jpg; 1.5 min
d.
mc004-4.jpg; 2.25 min
 

 5. 

A car is driving at a speed of 60 mi/h. What is the speed of the car in feet per minute?
a.
5,280 ft/min
c.
316,800 ft/min
b.
3,600 ft/min
d.
2,580 ft/min
 

 6. 

$7.80/hour = ____ cents/minute?
a.
13
b.
8.8
c.
780
d.
4.7
 
 
Solve the proportion.
 

 7. 

mc007-1.jpg
a.
55
b.
2.2
c.
110
d.
1.8
 

 8. 

mc008-1.jpg
a.
mc008-2.jpg
b.
mc008-3.jpg
c.
mc008-4.jpg
d.
mc008-5.jpg
 

 9. 

mc009-1.jpg
a.
32
b.
40
c.
64
d.
72
 

 10. 

mc010-1.jpg
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
mc010-5.jpg
 

 11. 

mc011-1.jpg
a.
mc011-2.jpg
b.
6
c.
mc011-3.jpg
d.
mc011-4.jpg
 

 12. 

A van travels 220 miles on 10 gallons of gas. Write and solve a proportion to find how many gallons the van needs to travel 550 miles.
a.
mc012-1.jpg; 31 gallons of gas
c.
mc012-3.jpg; 115 gallons of gas
b.
mc012-2.jpg; 121 gallons of gas
d.
mc012-4.jpg; 25 gallons of gas
 

 13. 

A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers must they have?
a.
12 drivers
b.
10 drivers
c.
15 drivers
d.
9 drivers
 

 14. 

School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 80 students?
a.
6 chaperones
c.
3 chaperones
b.
40 chaperones
d.
7 chaperones
 

 15. 

The cross products of a proportion are ____ equal.
a.
always
b.
sometimes
c.
never
 
 
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
 

 16. 

mc016-1.jpg
a.
4.1 ft
b.
2.2 ft
c.
0.3 ft
d.
2.7 ft
 

 17. 

mc017-1.jpg
a.
12.2 cm
b.
19.1 cm
c.
26.5 cm
d.
26 cm
 

 18. 

Two rectangles are similar. One has a length of 10 cm and a width of 8 cm, and the other has a width of 7 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.
a.
8.8 cm
b.
6.6 cm
c.
10.1 cm
d.
5.6 cm
 

 19. 

A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft. long. The triangle shown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft. tall, how tall is the tree?
mc019-1.jpg
mc019-2.jpg
a.
18 ft
b.
12.5 ft
c.
15 ft
d.
20 ft
 

 20. 

In similar triangles, corresponding angles are ____ congruent.
a.
always
b.
sometimes
c.
never
 

 21. 

A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
a.
52.5 km
b.
50 km
c.
150 km
d.
70 km
 

 22. 

Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?
mc022-1.jpg
a.
27 mi; 42 mi
c.
13.5 mi; 21 mi
b.
40.5 mi; 63 mi
d.
54 mi; 84 mi
 

 23. 

What percent of 20 is 18?
a.
11.1%
b.
9%
c.
90%
d.
49.5%
 

 24. 

What percent of 105 is 70?
a.
mc024-1.jpg
b.
mc024-2.jpg
c.
50%
d.
70%
 

 25. 

60% of 60 is what number?
a.
18
b.
4
c.
36
d.
9
 

 26. 

What is 6% of 117?
a.
5.97
b.
8.07
c.
7.02
d.
7.37
 

 27. 

30% of what number is 42?
a.
210
b.
105
c.
140
d.
14
 

 28. 

A golf club plans a trip to Hawaii, and 74 members are going. If this is 50% of the club’s members, how many members are in the club?
a.
148 members
b.
296 members
c.
37 members
d.
370 members
 

 29. 

Susan earns a 5% commission on her computer sales. If she earned a $81.04 commission on a sale of a new system, what was the price of the system?
a.
$1134.56
b.
$810.40
c.
$162.08
d.
$1620.80
 
 
Write an equation and solve. Round the final answer to the nearest tenth, if necessary.
 

 30. 

What is 52% of 100?
a.
mc030-1.jpg; 59.2
c.
mc030-3.jpg; 1.9
b.
mc030-2.jpg; 0.5
d.
mc030-4.jpg; 52
 

 31. 

16 is what percent of 34?
a.
mc031-1.jpg; 47.1%
c.
mc031-3.jpg; 2.1%
b.
mc031-2.jpg; 40%
d.
mc031-4.jpg; 51.8%
 

 32. 

68 is 78% of what number?
a.
mc032-1.jpg; 53
c.
mc032-3.jpg; 59.3
b.
mc032-2.jpg; 87.2
d.
mc032-4.jpg; 90.7
 

 33. 

What is 29% of 90? Estimate the answer.
a.
27
b.
18
c.
45
d.
36
 

 34. 

What is 150% of 32?
a.
4.8
b.
48
c.
16
d.
480
 

 35. 

If a > 0, then 125% of a is ____ less than or equal to a.
a.
sometimes
b.
always
c.
never
 

 36. 

What is 0.44% of 250?
a.
1.1
b.
2.2
c.
4.4
d.
11
 

 37. 

Used CDs make up 41.3% of a music store’s stock. If the store has a total of 1000 CDs, estimate the number of used CDs in stock.
a.
4000 CDs
b.
500 CDs
c.
400 CDs
d.
300 CDs
 

 38. 

Use the formula for simple interest, I = prt. Find p if I = $313.42, r = 2.5%, and t = 3 yr.
a.
$3,426.73
b.
$4,429.67
c.
$3,761.04
d.
$4,178.93
 

 39. 

Find the percent of change in altitude if a weather balloon moves from 100 ft to 103 ft. Describe the percent of change as an increase or decrease. Round to the nearest tenth if necessary.
a.
2.6%; increase
c.
3%; increase
b.
3.4%; decrease
d.
3%; decrease
 

 40. 

During the month of February, Fabulous Feet Shoe Mart sold 50 pairs of red loafers. After an ad campaign to boost sales, they sold 60 pairs in March. Find the percent of increase in sales.
a.
12%
b.
20%
c.
15%
d.
23%
 

 41. 

The circulation of a newsletter decreased from 5200 to 3140. Find the percent of decrease in circulation to the nearest percent.
a.
66%
b.
40%
c.
166%
d.
6%
 

 42. 

Find the greatest possible error for the measurement 0.991 g.
a.
0.0005 g
b.
0.001 g
c.
0.1 g
d.
0.005 g
 

 43. 

The percent of change in two numbers is ____ greater than 100%.
a.
always
b.
sometimes
c.
never
 

 44. 

You measure the width of a doorway and find that it is 0.93 m wide. Find the greatest possible error of your measurement.
a.
0.05 m
b.
0.005 m
c.
0.01 m
d.
0.001 m
 

 45. 

Find the percent error of the measurement 4 cm.
a.
10%
b.
40%
c.
1%
d.
4%
 

 46. 

You measure a piece of rope and find its length to be 13 m. Find the percent error of this measurement. Round to the nearest hundredth.
a.
0.92%
b.
3.85%
c.
0.38%
d.
0.15%
 

 47. 

Find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km.
a.
minimum area: 13.75 km2
maximum area 6.75 km2
c.
minimum area: 10 km2
maximum area 13.75 km2
b.
minimum area: 6.75 km2
maximum area 13.75 km2
d.
minimum area: 6.75 km2
maximum area 10 km2
 

 48. 

Find the minimum and maximum possible areas for a rectangle measuring 4.15 cm by 7.34 cm. Round to the nearest hundredth.
a.
minimum area: 24.97 cm2
maximum area 36.46 cm2
c.
minimum area: 30.40 cm2
maximum area 30.52 cm2
b.
minimum area: 29.89 cm2
maximum area 31.04 cm2
d.
minimum area: 31.76 cm2
maximum area 34.98 cm2
 

 49. 

You roll a standard number cube. Find P(number greater than 1)
a.
mc049-1.jpg
b.
mc049-2.jpg
c.
mc049-3.jpg
d.
mc049-4.jpg
 

 50. 

Refer to the spinner below. Find P(even and not shaded).
mc050-1.jpg
a.
mc050-2.jpg
b.
mc050-3.jpg
c.
0
d.
mc050-4.jpg
 

 51. 

Teesha is in the French club. There are 26 students in the club. The French teacher will pick 3 students at random to guide visiting students from France. What is the probability that Teesha will not be picked as a guide?
a.
mc051-1.jpg
b.
mc051-2.jpg
c.
mc051-3.jpg
d.
mc051-4.jpg
 

 52. 

You have the numbers 1–24 written on slips of paper. If you choose one slip at random, what is the probability that you will not select a number which is divisible by 3?
a.
mc052-1.jpg
b.
mc052-2.jpg
c.
mc052-3.jpg
d.
mc052-4.jpg
 

 53. 

The probability of the complement of an event is ____ less than the probability of the event itself.
a.
sometimes
b.
always
c.
never
 

 54. 

In a batch of 960 calculators, 8 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
a.
74.4%
b.
0.8%
c.
99.2%
d.
1.1%
 

 55. 

A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.6%, predict how many of the phones are likely to be defective. Round to the nearest whole number.
a.
16 phones
b.
13 phones
c.
11 phones
d.
130 phones
 

 56. 

If you roll a number cube 60 times and use the results to calculate the experimental probability of rolling a 1, the experimental probability of rolling a 1 will ____ be less than the theoretical probability of rolling a 1.
a.
sometimes
b.
always
c.
never
 

 57. 

You toss a coin and roll a number cube. Find P(heads and an even number).
a.
mc057-1.jpg
b.
mc057-2.jpg
c.
mc057-3.jpg
d.
1
 

 58. 

Suppose you choose a marble from a bag containing 2 red marbles, 5 white marbles, and 3 blue marbles. You return the first marble to the bag and then choose again. Find P(red and blue).
a.
mc058-1.jpg
b.
mc058-2.jpg
c.
mc058-3.jpg
d.
mc058-4.jpg
 

 59. 

In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 21 vowels and 15 consonants, what is the probability you will choose a consonant and then a vowel?
a.
mc059-1.jpg
b.
mc059-2.jpg
c.
mc059-3.jpg
d.
mc059-4.jpg
 

 60. 

A small software company has three customer service representatives. After a week of observation, the supervisor of the customer service department determines that there is an 85% probability that a customer service representative will be on the phone with a customer at any given time. What is the probability of all three representatives being on the phone at the same time? Round to the nearest percent if necessary.
a.
28%
b.
72%
c.
39%
d.
61%
 

 61. 

If A and B are independent events and P(A) and P(B) are both greater than mc061-1.jpg, then P(A and B) is ____ greater than 1.
a.
sometimes
b.
always
c.
never
 

 62. 

You have three $1 bills, four $5 bills, and two $10 bills in your wallet. You select a bill at random. Without replacing the bill, you choose a second bill at random. Find P($10 then $1).
a.
mc062-1.jpg
b.
mc062-2.jpg
c.
mc062-3.jpg
d.
mc062-4.jpg
 

 63. 

A basket contains 11 pieces of fruit: 4 apples, 5 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?
a.
mc063-1.jpg
b.
mc063-2.jpg
c.
mc063-3.jpg
d.
mc063-4.jpg
 

 64. 

Thomas, Jenna, and Maria are playing a game. They have a bag that contains 42 white tiles and 4 red tiles. Each player takes turns picking a tile at random and does not return the tiles to the bag. The player who draws a red tile first is the winner. In the first round, Thomas goes first, then Jenna, and then Maria, and none of them draws a red tile. What is the probability that Thomas will win the game on his second turn?
a.
mc064-1.jpg
b.
mc064-2.jpg
c.
mc064-3.jpg
d.
mc064-4.jpg
 

Short Answer
 

 65. 

Van Gogh’s painting Starry Night measures 92 cm long by 73 cm high. You buy a poster that shows an enlargement of the painting. The poster measures 120 cm long by 100 cm high. Is the poster an accurate representation of the painting? (Hint: Is the poster similar to the painting?)
 

 66. 

The art teachers at a school planned to take 300 students on a field trip to an art museum. One teacher found that 6 of her 36 students could identify a painting by Picasso before the field trip.
a.What is the experimental probability that a student in the teacher’s class could identify a painting by Picasso before the field trip? Write the probability as a percent. Round to the nearest tenth. experimental probability that a student in the teacher’s class could identify a painting by Picasso before the field trip? Write the probability as a percent. Round to the nearest tenth.
b.Based on P(students identifying Picasso painting) from part (a), predict how many of the 300 students would be able to identify a painting by Picasso before the field trip?
 

 67. 

The theoretical probability that a man will have some form of color blindness is 8%, whereas the theoretical probability of a woman having color blindness is 0.5%.
a.If you have a group of 700 men, predict how many of them will be color blind.
b.If you have a group of 400 women, predict how many of them will be color blind.
c.If you combine both groups and pick one person at random, what is the probability that person will be color blind? Write the probability as a percent and round to the nearest tenth of a percent if necessary.
 

Essay
 

 68. 

A 1-in. length on the blueprint corresponds to an actual length of 3 ft.
es068-1.jpg
a. What is the scale of the blueprint?
b. What are the actual dimensions of the bathroom?
c. What is the actual area of the bathroom?
d. What is the actual area of the living room?
 

 69. 

The table below shows the measured dimensions of a prism, and the maximum and minimum possible values based on the greatest possible error.
es069-1.jpg
Dimensionslwh
Measured953
Maximum9.55.53.5
Minimum8.54.52.5

a. Find the measured volume.
b. Find the maximum volume.
c. Find the minimum volume.
d. What is the percent error? Round to the nearest percent.
 

 70. 

Find the percent error in calculating the volume of the prism. Show all of your work.
es070-1.jpg
 

Other
 

 71. 

Use estimation to decide whether 19.8% of 60 is closer to 12 or 14. Explain your reasoning.
 

 72. 

An item costs $36. The price is increased by $15, then reduced by $15. Is the percent of increase equal to the percent of decrease? Explain your answer.
 

 73. 

Are the two events dependent or independent? Explain.
a.Toss a dime, and then toss a quarter.
b.Pick a card from a deck of cards. Keep the card and pick another.
 



 
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