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10 ACT Practice Tests 2nd Edition Steven Dulan - Solutions

For all numbers x and y, let the operation ¤ be defined as x ¤ y = 2xy − 4x. If a and b are positive integers, which of the following can be equal to zero?I. a ¤ bII. (a − b) ¤ bIII. b ¤ (a − b)A. I onlyB. II onlyC. III onlyD. I and II onlyE. I, II, and III
(6a − 12) − (4a + 4) = ?A. 2(a + 2)B. 2(a + 4)C. 2(a − 2)D. 2(a − 4)E. 2(a − 8)
Which of the following equations expresses z in terms of x for all real numbers x, y, and z, such that x5 = y and y3 = z?A. z = xB. z = 3/5xC. z = 3x5D. z = x8E. z = x15
Which of the following statements is NOT true about the geometric sequence 36, 18, 9, . . .?F. The fourth term is 4.5.G. The sum of the first five terms is 69.75.H. Each consecutive term is 1/2 of the previous term.J. Each consecutive term is evenly divisible by 3.K. The common ratio of consecutive
For right triangle ABC with dimensions in centimeters as given below, what is tan C?A. 5/9B. 5/√106C. 9/√106D. √106/9E. 9/5 9 √106 C 5
If 4 2/5 = a − 1 2/3, then a = ?F. 95/15G. 91/15H. 41/15J. 27/8K.17/8
What is the least common multiple of 40, 70, and 60?A. 240B. 420C. 840D. 1,680E. 168,000
The area of a trapezoid is found by using the equation 1/2 h(b1+ b2), where h is the height and b1 and b2 are the lengths of the bases. What is the area of the trapezoid shown below?F. 18G. 20H. 24J. 30K. 36 5 4 6 5
The ratio of x to z is 3 to 5, and the ratio of y to z is 1 to 5. What is the ratio of x to y?A. 5:3B. 5:1C. 3:1D. 1:3E. 1:1
What is the approximate distance between the points (4,−3) and (−6,5) in the standard (x, y) coordinate plane?F. 8.92G. 12.81H. 16.97J. 17.95K. 19.22
Which of the following inequalities defines the solution set for the inequality 23 − 6x ≥ 5?A. x ≥ −3B. x ≥ 3C. x ≥ 6D. x ≤ 3E. x ≤ −6
(1/3a − b)2 = ?F. 1/9a2 + b2G. 1/9a2 −2/3ab + b2H. 1/3 a2 −2/3ab + b2J. a2 + b2K. a2 − 1/3ab + b2
The diagonal of a rectangular garden is 15 feet, and one side is 9 feet. What is the perimeter of the garden?A. 135B. 108C. 68D. 48E. 42
The narrator’s comment about “luxurious” hunts (lines 22–23) refers to trips that:F. Provide amenities such as gourmet food.G. Are all-inclusive, where no one need bring personal equipment.H. Expose hunters to an unusual variety of game.J. Educate guests on arctic ecology as they hunt.
One can reasonably infer from the passage that a person who were to drink from a red tap would most likely:F. Prefer cooler water.G. Have to become accustomed to water with added chlorine or fluoride.H. Be disappointed by the low pressure.J. Risk falling ill from waterborne pathogens.
Given the way he is presented in the passage, the boss of the lodge can best be described as:A. Sheltered and timid.B. Vain and insincere.C. Eccentric and enterprising.D. Brash and calculating
What is the smallest possible value for the product of 2 real numbers that differ by 6?F. −9G. −8H. −5J. 0K. 7
Which of the following disadvantages of modern utilities is best supported by the details in the passage?A. Public water and electricity are currently very expensive.B. Utility commodities might eventually run out.C. Public utility lines reinforce the divide between densely populated cities and
In a game, 84 marbles numbered 00 through 83 are placed in a box. A player draws 1 marble at random from the box. Without replacing the first marble, the player draws a second marble at random. If both marbles drawn have the same tens digit (that is, both marbles are numbered between 00 and 09, or
In the figure below, FGHJ is a square and Q, R, S, and T are the midpoints of its sides. If GH = 10 inches, Awhat is the area of QRST, in inches?A. 100B. 50C. 25D. 20E. 5√2 G F Q R T S H
In ΔXYZ below, XZ is 7/8 of h, the length of the altitude. What is the area of ΔXYZ in terms of h? F. 7h/8G. 7h2/8H. 7h/16J. 7h2/16K. 7h2/12 X Y I I Z
On Friday, a computer was priced at $800. On the following Wednesday, the price was reduced by 15%. On the following Friday, the price was further reduced by 20%. What percent of the original price was the final price?A. 82.5B. 68C. 65D. 35E. 32
If ghjk = 24 and ghkl = 0, which of the following must be true?F. g > 0G. h > 0H. j = 0J. k = 0K. l = 0
Given the vertices of parallelogram FGHJ in the standard (x, y) coordinate plane below, what is the area of triangle GHJ, in square units?A. 11B. 15C. 22D. 44E. 88 G (-2,3) F(-1,-8) H (2,3) J(3,-8) ·X
The area of a rectangular kitchen is 80 square feet. If the length of the floor is 4 feet less than four times the width, what is the width of the floor in feet?A. 4B. 5C. 8D. 16E. 17
In the standard (x,y) coordinate plane, the y-intercept of the line 6x + 2y = 14 is?A. −6B. −3C. 2D. 7E. 14
If X, Y, and Z are real numbers, and XYZ = 1, then which of the following conditions must be true? F. XZ = 1/YG. X, Y, and Z > 0H. Either X = 1, Y = 1, or Z = 1J. Either X = 0, Y = 0, or Z = 0K. Either X < 1, Y < 1, or Z < 1
Jason has been hired to build a circular wading pool Ain his neighbor’s backyard. The rectangular backyard measures 60 feet wide by 50 feet long. Jason’s neighbors want the pool to be as large as possible, with the edge of the pool at least 8 feet from the edge of the backyard all around. How
The average of a set of six integers is 38. When a seventh number is included in the set, the average of the set increases to 47. What is the seventh number?F. 38G. 47H. 101J. 228K. 329
If ƒ(x) = x2 + 3, then ƒ(x + y) = ?F. x2 + 2xy + y2 + 3G. x2 + 2xy + y2H. x2 + 2xy + 3J. x2 + 3 + yK. x2 + y2
For every cent increase in price of a pound of apples, the grocery store sells 25 fewer pounds per day. The grocery store normally sells 800 pounds of apples per day at $1.09 per pound. Which of the following expressions represents the number of pounds of apples sold per day if the cost is
If tan α = x/y, x > 0, y > 0, and 0 < α < π/2, then what is cos α?F. √x2 + y2 / yG. y / √x2 + y2H. x / x2 + y2J. y/xK. x/y
The second and third paragraphs suggest that, if not for the need to host a variety of guests, the boss would prefer:A. A lodge closer to city services.B. A more modest lodge with fewer creature comforts.C. A large hunting estate with modern improvements.D. A wilderness skills training facility.
Which of the following conclusions about the relationship between the narrator and the boss is best supported by the details in the passage?F. The narrator does not fully grasp the boss’s rationale for having such an isolated lodge, but admires his ingenuity nonetheless.G. The boss largely
What does the narrator suggest is a central characteristic of modern society’s water and power consumption?A. TemperanceB. ResourcefulnessC. ExorbitanceD. Caution
As it is used in line 27, the word grid most likely means:F. Roadway system.G. Map.H. Utility system.J. Populated land.
The boss would most likely agree with which of the following characterizations of his lodge?A. It is rustic, unrefined, and occasionally uncomfortable.B. It retains its wilderness charm in spite of concessions to some modern conveniences.C. It establishes an oasis in the barren North for guests
It is most reasonable to infer from the passage that the creeks near the lodge are pristine because:F. They teem with fish.G. The lodge only draws water from one of them.H. Civilization is not present to alter or pollute them.J. Many specialty fishes can be readily caught in their waters.
According to the passage, the most significant effects of the polio epidemic in America were on:A. The development of government programs.B. Children stricken with the disease.C. The medical community that attempted to cure polio.D. Public involvement in promoting the vaccine.
As it is used in the passage (line 33) the word debilitating most nearly means:F. Invigorating.G. Crippling.H. Coercing.J. Revitalizing.
According to the passage, why did medical research first focus on the treatment of polio’s symptoms, instead of the disease itself?F. Scientists and medical experts did not understand the cause of polio.G. A cure for the debilitating disease had recently been discovered.H. Funds were not
As it is used in the fifth paragraph, the phrase “became typical protocol” implies that:A. The most common practice for treating polio became widely accepted.B. Medical experts debated with scientists regarding the proper treatment of polio.C. Doctors and scientists had yet to discover an
According to the information presented in the passage, what would likely have happened if the iron lung had not been invented?A. Some polio patients would have perished more quickly.B. Paralysis in children would have worsened.C. Patients would not have received proper bed rest.D. Muscular atrophy
Based on the passage, the author’s discussion of the polio virus emphasizes the:F. Consequential debate about dead versus live viruses for vaccines.G. Competition among medical researchers to develop a cure.H. Complexity of the disease and the difficulty in discovering a cure.J. Lack of
The information in the passage primarily suggests that: A. The Salk vaccine was not truly successful.B. Salk and Sabin had strong disagreements over a polio cure.C. The Salk vaccine paved the way for the Sabin oral vaccine.D. The use of a live virus is always better in developing a vaccine.
It can be reasonably inferred that the author would probably consider which of the following to be most similar to the discussion of polio in the passage?F. Malnutrition and starvation in developing countries.G. Researching and developing a cure for cancer.H. Obesity in the United States.J. Social
According to the passage, which of the following is NOT true regarding polio?A. One of the most incapacitating effects of polio was the fact that it made it difficult to breathe properly.B. Whooping cough and pneumonia were both thought to be caused by polio infection.C. The season and time of year
For the triangle shown below, what is the value of tan x?F. 8/15G.8/17H. 15/8J. 15/17K. 17/8 8 X 15 17
Based on the overall tone of the passage, which of the following statements best summarizes the author’s perspective on the effects of the American polio epidemic of the early 1900s?F. There is virtually no residual evidence of the epidemic today.G. Polio continues to be a silent threat to
The passage primarily emphasizes the idea that: A. The animals that are included in the Chinese Zodiac calendar all had to find ways to reach the Emperor’s Palace.B. The Chinese Zodiac calendar is correct in the long run, but somewhat distorted on a year-to-year basis.C. The Chinese Zodiac
The passage begins with the phrase “Everyday, one takes for granted the ease of finding out what date it is” primarily to:F. Draw the distinction between the ease of today’s Gregorian calendar and the complexity of the Chinese Zodiac calendar.G. Emphasize to the reader how effortless it is to
In the context of the passage, the phrase “His vanity nearly cost him the race,” suggests that the dog:A. Felt that the water was so refreshing, he had no choice but to bathe in it whether it lost him the race or not.B. Intended to look his best and be his cleanest when he reached the palace,
As it is used throughout the passage, the word cunning most nearly means:F. Ingenuity.G. Dependability.H. Apprehension.J. Tolerance.
5x3 + 3xz2 − 17z) − (4xz2 + 5z − 2x3) = ?A. 7x3 − xz2 − 22zB. 7x3 − xz2 − 12zC. 3x3 − xz2 − 12zD. 3x3 + 7xz2 − 22zE. 3x3 + 7xz2 − 12z
The narrator uses the example of the cat in the passage (lines 49–57) most likely in order to:F. Accentuate the fact that many animals strove to earn the Emperor’s distinction but only a select few attained it.G. Highlight the fact that the rat was very shrewd and was only out for himself in
According to the passage, which of the following would NOT be a possible year of the Chinese Zodiac?A. Wood, Yang, dragon, 3028B. Yin, fire, pig, 3029C. Rat, earth, Yang, 3052D. Metal, Yin, tiger, 3030.
Which of the following statements, if added here, would best conclude the essay?A. NO CHANGEB. Racing continuingC. Continuing racingD. Racing continues
|5 − 3| − |2 − 6| = ?F. −4G. −2H. 2J. 4K. 6
Based on the test results, Sample 2 is acceptable as a water source as long as the developers:A. Are willing to accept high iron levels and hard water.B. Are willing to accept high lead levels and soft water.C. Are willing to accept high alkalinity levels and soft water.D. Treat the water to reduce
One can conclude from the results of Experiment 2 that Grackle C and Grackle A had a total of how many encounters with each other?F. 5G. 20H. 25J. 30Experiment 2The male grackles were placed back into the cage in the same sequence as in Experiment 1. The results of all aggressive encounters (number
According to the results of Experiments 1 and 2, which of the following factors is (are) related to the dominance of one male grackle over other males?I. AgeII. Body weightIII. Number of callsA. I and II onlyB. I and III onlyC. II onlyD. III onlyExperiment 1To determine what factors might affect
It was suggested that the more dominant a male grackle is, the more likely it is to mate. Accordingly, one would predict, based on win–loss records, that the grackle with the highest likelihood of mating would be:A. Grackle B.B. Grackle D.C. Grackle C.D. Grackle A.
In Experiment 1, trees from A5 produced more pinecones than did trees from A4 at which of the following sites?Experiment 1P. palustris Miller seeds were collected from 5 different populations (A1, A2, A3, A4, A5) each of which was from a different site (S1, S2, S3, S4, S5). The seeds were grown
In Experiment 1, A1 trees produced the largest number of pinecones at which of the following sites?Experiment 1P. palustris Miller seeds were collected from 5 different populations (A1, A2, A3, A4, A5) each of which was from a different site (S1, S2, S3, S4, S5). The seeds were grown under
The procedures utilized in Experiment 2 were repeated, except that only 25 containers were planted at a sixth site (S6). The results appear in Table 3. Experiment 2P. palustris Miller seeds were collected and grown in the same manner as in Experiment 1. When the seeds had grown into seedlings, 150
A student wanted to produce the greatest number of pinecones from 6 A1 trees, using the procedures from Experiment 2. Which plants and site should the A1 trees be combined with to achieve the desired results?Experiment 2P. palustris Miller seeds were collected and grown in the same manner as in
In which of the following ways was Experiment 2 different from Experiment 1?Experiment 2P. palustris Miller seeds were collected and grown in the same manner as in Experiment 1. When the seeds had grown into seedlings, 150 containers were prepared with 5 A1 seedlings and 5 seedlings from either A2,
In Experiment 2, how many seedlings were planted in each container?Experiment 2P. palustris Miller seeds were collected and grown in the same manner as in Experiment 1. When the seeds had grown into seedlings, 150 containers were prepared with 5 A1 seedlings and 5 seedlings from either A2, A3, A4
According to Figure 1, 16 hours after taking the extended-release form of the prescription drug, the difference in mean blood plasma concentration between Ingredient A and Ingredient B is closest to:A. 7 ng/ml.B. 9 ng/ml.C. 11 ng/ml.D. 16 ng/ml.a 30 Mean blood plasma concentration
Based on the data in Figures 1 and 2, the researchers should make which of the following conclusions about the overall change in mean blood plasma concentration and mean symptom score over time following dosage?F. Both mean blood plasma concentration and mean symptom score increase then decrease.G.
According to Figure 1, mean blood plasma concentration of Ingredient A administered in immediate-release form increases most during which of the following time periods?A. From the moment of dosage to 3 hours after dosage.B. From 3 hours after dosage to 10 hours after dosage.C. From 10 hours after
Which of the following conclusions about adverse side effects caused by the prescription drug is consistent with the results shown in Table 1?F. Results from the placebo group most question the number of instances of feeling of weakness caused by the prescription drug.G. Results from the placebo
The symptom score of a clinical trial subject given the extended-release form of the prescription drug remained unchanged for 8 hours. Based on Figure 2, the 8-hour period most likely began:A. 3 hours after dosage.B. 5 hours after dosage.C. 9 hours after dosage.D. 14 hours after dosage. Mean
According to Figure 1, the atmospheric layer with the greatest range in pressure is the:F. Mesosphere.G. Thermosphere.H. Stratosphere.J. Troposphere. Mean symptom score 20 15 10 5 * Immediate-release Extended-release-+. 12 16 Time elapsed after dosage (hr) 20 + 24
Which of the following statements about the formation of cumulus clouds is supported by the data presented in Figure 1? Cumulus clouds typically form in:A. Pressures between 8 and 12 psi and at an average temperature of 35◦C.B. Pressures between 12 and 16 psi and at an average temperature of
According to Figure 1, as pressure within the atmospheric layers increases, temperature within the atmospheric layers:F. Increases only.G. Decreases only.H. Increases up to 6 psi, then decreases.J. Decreases up to 10 psi, then increases. Mean symptom
According to the information given in Figure 1, clouds within the stratosphere are most likely formed:A. Under a pressure of 4 psi and 20◦C.B. Under a pressure of 10 psi and 30◦C.C. Over a pressure of 12 psi and 40◦C.D. Over a pressure of 14 psi and 50◦C. Mean symptom
If a pressure of 7 psi were sustained within the atmosphere, according to Figure 1, which of the following types of clouds would likely form?F. CirrusG. CumulusH. NimbusJ. Stratus 0 -0 Ground level Pressure reading (psi) a 20 T Average temperature (°C) F-81
Based on the information in Figure 1, fish from which species are most likely to survive prolonged exposure to bacteria?A. Species AB. Species BC. Species DD. Species E 0 -0 Ground level. Pressure reading (psi) a 00 4 T Average temperature (°C) 18-
According to the data in Figure 1, which species showed the greatest difference between the percent of fish that survived to adulthood after exposure to unfiltered water, and the percent of fish that survived to adulthood after exposure to filtered water?F. Species AG. Species CH. Species EJ.
Researchers recently discovered a new species of fish that lives in deep water without plants. Based on the data in Table 1, the researchers would predict that this species’ relative ability to combat bacteria is most likely:A. High.B. Moderate.C. Low.D. Nonexistent. Fish
According to the information in Table 1, for all the species shown, as the exposure to bacteria increases, the relative ability to combat the bacteria generally:F. Decreases only.G. Increases only.H. Decreases, then increases.J. Increases, then decreases. Fish species A B C D E F 0 Relative ability
Based on the data in Table 1 and Figure 1, fish that had the lowest percent of individuals survive to adulthood when exposed to bacteria tend to:A. Live in shallow water without plants.B. Live in shallow water with plants.C. Live in deep water without plants.D. Live in deep water with plants. Fish
Paleontologist 1’s viewpoint contains the basic assumption that the velociraptor must have been:F. Unknown until the discovery of these bones.G. An ineffective hunter.H. Previously mischaracterized.J. Unable to escape large predators.
Paleontologist 1 would most likely state that the cuts on the velociraptor bones were the result of:A. Failed attempts to fly.B. Fending off a competing scavenger.C. An attack by a larger predator.D. Mistakes made in assembling the bones.
Suppose that the fossilized remains of another dinosaur species with long arm bones were discovered, and scientists determined that this dinosaur lived at the same time as the velociraptor. According to the passage, Paleontologist 2 would most likely conclude that: F. The new dinosaur could
Paleontologist 2’s viewpoint regarding the velociraptor as a scavenger was based on the dinosaur’s:A. Strong musculature.B. Excellent condition.C. Long arm bones.D. Ability to fly.
Paleontologist 1 would most likely support which of the following statements about the lifestyle of the velociraptor?F. The velociraptor was a predatory dinosaur capable of flight, and is only now being understood. G. The velociraptor was a dinosaur who scavenged other dinosaurs’ kills.H.
Assuming all are true, both paleontologists would most likely agree with which of the following facts concerning the velociraptor?A. It was threatened by larger dinosaurs, such as tyrannosaurus rex.B. It was unable to sustain flight.C. It was not built for speed, and therefore, could not easily
Both Paleontologists 1 and 2 would most likely agree with which of the following statements about the discovery of the velociraptor bones? The bones:F. Did not clarify any assumptions about the velociraptor.G. Provided some useful information regarding the velociraptor.H. Could not be assembled
According to Figure 1, at a distance of 9 km along the mountain range, peaks of what composition are present, if any?A. Peaks of slateB. Peaks of shaleC. Peaks of limestoneD. No peaks are present sediment Gain of sediment Loss of Key-Peak composition Limestone (composed of particles with diameters
Based on the information listed in Table 1, a peak section with a height of 5.5–6.0 m would be exposed to wind approximately what percentage of a year?A. 22%B. 39%C. 48%D. 53% Peak section height (m) 0.0-0.5 0.5-1.0 1.0-1.5 1.5-2.0 2.0-2.5 2.5-3.0 3.0-3.5 3.5-4.0 4.0-4.5 4.5-5.0 5.0-5.5 Table
When Jake says, “It happens to the best of us,” he is primarily saying that:A. He understands that sometimes things happen that are beyond our control.B. Katherine is a perfect parent, and he is surprised that Max is unhappy.C. Max is a picky eater and would not eat a healthy lunch anyway.D.
It can be reasonably inferred from the conversations with Jake, that Katherine:F. Is a stay-at-home-mother.G. Does not care about her son.H. Works two jobs to make ends meet.J. Believes that junk food is healthy.
The idea that Jake’s mother is trying her best to take care of her son is least supported by which of the following quotations from the passage? A. “It’s just that I work back-to-back jobs every night and barely make it home in time to get him out of bed and dressed before camp starts in
As it is used in line 57 the word predicament most nearly means:F. Joke.G. Solution.H. Complaint.J. Challenge.
It can be inferred from the passage that Jake is:A. Max’s older brother.B. Dissatisfied with his job.C. A good influence on Max.D. Someone Max barely knows.
The passage makes it clear that the “Sandwich Club”:F. Lasted as long as Max was a camper.G. Met only when it rained.H. Was an insult to Katherine.J. Was Max’s favorite part of camp.
You may reasonably infer from the details in the passage that Katherine and Max:A. Dislike Jake.B. Are very wealthy.C. Do not trust other people.D. Have little money.
Katherine can most accurately be characterized as:F. Indifferent and withdrawn.G. Caring but distracted.H. Cruel and arrogant.J. Friendly but aloof.

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