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10 ACT Practice Tests 2nd Edition Steven Dulan - Solutions

Suppose chemicals could be added to treat the high iron levels in either sample. The chemical additive would be safe to use in Sample 2 and not safe to use in Sample 1 if:F. The chemical additive caused a drastic increase in pH levels in unbuffered solutions.G. The chemical additive caused an
According to the passage, approximately when do Radon 222 and Polonium 218 have the same percent of atoms remaining?F. On Day 2.G. On Day 4.H. On Day 8.J. On Day 16.
An ideal alkalinity level prevents pH levels from becoming too low. Which statement is best supported by this fact? When testing drinking water:A. An alkalinity test is not necessary.B. An alkalinity level above 500 is ideal.C. ideal samples will have levels similar to that of Sample 1.D. A proper
Which of the following statements best describes the concentration of lead in Sample 1?F. The concentration of lead in Sample 1 is above the ideal level.G. The concentration of lead in Sample 1 may be corrosive to surfaces.H. The concentration of lead in Sample 1 is at or below the ideal level.J.
A furniture maker wants to build a chair whose legs can move more easily across a smooth wooden floor. Based on Experiment 3, which of the following object ratings should the chair material have to best accomplish that goal?A. 5B. 9C. 13D. 19Experiment 3Objects can be rated according to their
If Experiment 1 were repeated with a plane length of 4 meters, the movement time for the wood block, in seconds, would be closest to:A. 2.31B. 1.64C. 1.32D. 0.64Experiment 1The group of students wanted to know which materials moved down the plane in the shortest amount of time. The students used
Based on the assumption that the loss in speed that is due to friction is responsible for longer travel times down the inclined plane, which of the following lists of objects used in Experiment 2 is in order of increasing loss ofspeed due to friction?A. Plastic, aluminum, wood, concreteB. Glass,
Based on the passage, radioactive decay:A. Is unstable.B. Does not occur in nature.C. Is a natural process.D. Only occurs in half of the atoms.
According to Scientist 1, which of the following assumptions about the source of the Earth’s magnetic field is a major flaw in Scientist 2’s theory?A. The iron in the inner core possesses no magnetic properties.B. The iron in the liquid outer core possesses ferromagnetic properties.C. The outer
Suppose a new type of sensor was invented that could detect electric currents in the outer core. This new technology would:F. Be consistent with the view of Scientist 1 only.G. Be consistent with the view of Scientist 2 only.H. Be consistent with the view of Scientist 1 and 2.J. Have no relevance
Do the Scientists differ in their description of the Earth’s magnetic field?A. Yes; Scientist 1 claims that the Earth’s magnetic field is significant and Scientist 2 does not.B. Yes; Scientist 1 claims that the Earth’s magnetic field is created by the coordinated motions of electrons within
Scientists 1 and 2 would most likely disagree about which of the following statements?F. The strength of the Earth’s magnetic field fluctuates over time.G. The polarity of the Earth’s magnetic field can change over time.H. The Earth’s inner core is surrounded by a liquid outer core.J. The
Researchers notice that volcanic rocks exhibit regular and predictable variations in their magnetic properties depending on their age. Which of the following statements about the variations would both scientists most likely agree with?A. Electric currents, the liquid outer core cause variation in
A scientific article stated, “Since 1848, when the strength of the Earth’s magnetic field was first measured, the field has lost 10% of its strength.” Which of the scientists’ viewpoints, if any, is (are) in agreement with this statement?F. Scientist 1 only.G. Scientist 2 only.H. Scientist
Which of the following statements about the Earth’s core was implied by Scientist 2?A. The Earth’s inner core is a rotating mass of iron.B. The Earth’s inner core is solely responsible for the magnetic field.C. The Earth’s core is iron and possesses properties similar to a bar magnet.D. The
According to the passage, which of the following is a reason that gypsum was used to create mortar instead of limestone?F. Gypsum is more water-soluble than limestone.G. Gypsum is less complicated to mine than limestone.H. Gypsum is sturdier than limestone.J. Gypsum is more costly to mine than
The passage indicates that researchers believed that examination of the mortar would reveal information regarding the Great Pyramid’s:A. Natural fuel sources.B. Construction.C. Durability.D. Constant temperature.
Previous to the research discussed in the passage, it was believed that the Great Pyramid was constructed in approximately what year?F. 3377 BCG. 2977 BCH. 2577 BCJ. 2177 BC
As it is used in line 6, the word expunging most nearly means:A. Eliminating.B. Restoring.C. Devising.D. Obscuring.
The passage indicates that the type of mortar used in the construction of ancient Egyptian pyramids was affected by:F. The durability of the mortar.G. The amount of mineral resources available.H. The inferences drawn by the researchers.J. The natural fuel sources available.
It may be reasonably inferred from the passage that for those studying ancient pyramids:A. Radiocarbon dating is a relatively simple method to find an exact date of construction.B. Analyzing the chemical composition of a building material allows scientists to recreate the material being
Which of the following was NOT a use of the mortar used in constructing the Great Pyramid?F. Assisting in the placement of stone blocksG. Shielding the joints of the heavy stone blocksH. Adhering heavy stone blocks togetherJ. Diminishing friction between the stone blocks
The passage indicates that, unlike gypsum, limestone:A. Needs extremely high temperatures to be transformed into mortar.B. Would have been very easy for ancient Egyptians to mine.C. Was not nearly as resilient as gypsum.D. Was very soluble when mixed with water.
According to the passage, the mortar used to build the Great Pyramid included all of the following EXCEPT:F. Charcoal.G. Processed limestone.H. Pollen.J. Processed gypsum.
From the author’s reference to the Great Pyramid at Giza as both “fascinating and contentious,” (line 2) it can be inferred that the Great Pyramid is seen as both:A. Captivating and flawless.B. Placid and disputable.C. Intriguing and controversial.D. Monotonous and statuesque.
When the author says that “austere blues and greens of the film’s cinematography blend with Nyman’s round melodies” (lines 59–61), he most likely means that the film:F. Presents a conflicting viewpoint to the audience.G. Tempers its severe elements with appeals to human emotion.H.
The second paragraph (lines 12–23) states that, at the time of Michael Nyman’s emergence as a composer, Minimalism was:A. In a period of stylistic turmoil.B. An ancient practice in classical music.C. A young musical style.D. Invented by Michael Nyman.
According to the passage, by considering classical music only a historical form of music, many people lose the sense that:F. playing unamplified, traditional instruments remains an enriching enterprise.G. classical music has never disappeared, but rather has evolved with the times.H. Michael Nyman
The author implies by the phrase “snub by the Academy” (line 64) that Michael Nyman:A. Did not deserve to win an Academy Award nomination.B. Prepared a superficial composition for The Piano.C. Considers the score for The Piano his crowning achievement.D. Deserved an Academy Award nomination,
When the author says that Michael Nyman is “rarely rewarded” (line 70), he most likely means that Nyman:F. Lacks the musical merit to deserve critical acclaim.G. Produces obscure music that fails to appeal to a modern audience.H. Gives many long recitals throughout the year.J. Deserves praise,
The author claims Michael Nyman used the music for Gattaca “to impose a trance on the audience” (lines 61–62) because:A. It reverberates with layers of emotional string melodies.B. It features sorrowful melodies instead of uplifting ones.C. It reflects the harsh reality of the world portrayed
The graph below best represents the relationship between concentration and temperature for which of the following substances?F. HClG. NaNO3H. NaClJ. KCl Concentration (g solute/100 g water) 0 20 40 60 Temp (°C) 80 100
Which of the following statements from the passage is an acknowledgment by the author that the Michael Nyman Band enjoys limited popularity?F. “English composer Michael Nyman has emerged as one of the great writers, conductors, and performers of experimental and often minimalist pieces of
As it is used in the passage, “fare” (line 21) most nearly means:A. A fee paid to attend a minimalist concert.B. Michael Nyman’s ability to write minimalist music.C. The collection of minimalist music.D. A feeling evoked by minimalist music.
Considering the information given in the first two paragraphs (lines 1–23), which of the following is the most accurate description of modern classical music?F. It lacks the intellectual richness of classical music from earlier periods.G. It has not progressed since the emergence of Minimalism.H.
One of the main arguments the author is trying to make in the passage is that:A. until recently, classical music had been fading in popularity among Western societies.B. Michael Nyman has produced much important music, but remains underappreciated.C. modern classical music is changing the way in
In the figure below, sin α =?F. 1/2G. √3/2H. 1J.√2/2K. √2/4 y α (4,4)
Based on the passage as a whole, which of the following would most likely approximate Smith’s views on competition in the marketplace?F. Competition is a good thing because it keeps prices for goods and services low for the consumer.G. The government should try to eliminate competition because
As described in the passage, Smith’s theory of “natural price” is vital to the theory of:A. Charitable organizations.B. Self-interest, without regard to community service.C. Laissez-faire economics.D. Mercantile transactions absent of fraud.
It can be inferred from Smith’s quotation at the end of the passage (“He intends … intention.”) that Smith believes that:F. People do not want an “invisible hand” controlling their actions.G. The “invisible hand” deters people from following their selfish interests.H. Individuals
According to the information presented in the passage, which of the following best describes Adam Smith’s view of the relationship between a baker and the community?F. The baker bakes bread to increase his wealth and also because the community desires bread.G. The baker values his trade as a
It can be inferred that the word benevolence, as it is used in line 6, primarily refers to:A. A penchant for performing generous acts.B. Formal or obligatory politeness.C. Having a stubborn disposition.D. The requisite giving of payments or gifts.
Which of the following is a basis upon which some criticize Smith’s Wealth of Nations?F. Market prices should not include profit.G. Commercial transactions need to benefit both participants.H. Falling market prices reduce the stock of products that have excess production.J. Exorbitant
As it is used in the passage (lines 44–45), the phrase magnum opus most nearly means:A. Crowning achievement.B. Manuscript.C. Attitude.D. Community improvement.
According to the description of the “invisible hand” theory in the passage, what would happen in the market if there were a shortage of a product?A. Stock of the product would be reduced.B. The price of the product would rise.C. The product would become more profitable.D. The public would have
According to the passage, the main focus of Smith’s “invisible hand” theory is:F. Community.G. Self-interest.H. Society.J. Benevolence.
It can be reasonably inferred from the last paragraph of the passage that:F. Clover and Elsie are very close in age.G. Elsie is more interested in the dress than Clover is.H. Clover and Elsie needed to hurry to finish sewing the skirt.J. Elsie values the opinions of her sister.
All of the following are assertions made in of Smith’s Wealth of Nations EXCEPT:A. people naturally base their actions on what will be most beneficial to themselves.B. markets adjust to change naturally, without assistance from the government.C. the natural prices of objects should include
The passage indicates that Elsie’s feelings towards Clover can best be described as:A. Admiring.B. Objective.C. Malevolent.D. Predictable.
ABCD is a trapezoid that is bisected by line PQ, which is parallel to lines AB and DC. If the length of line DP is 8 units, the length of line PA is 12 units, and the length of line AB is 36 units, what is the length of PQ?F. 8G. 9H. 12J. 16K. 24 A P D C Q B
Details in the passage suggest that Clover:F. Is aware of how beautiful the townspeople perceive her to be.G. Is about to get married to Johnnie.H. Is jealous of her friend Cecy’s wedding clothes.J. Did not want to use the flowers that Cecy was suggesting.
In the third paragraph (lines 16–27) the appearance of Clover’s arms is compared to:A. Those of a pretty maiden.B. Those of a baby.C. A wedding dress.D. Those of her sister Elsie.
The passage makes it clear that Clover and Elsie:F. Rarely have the chance to spend time together.G. Often avoid spending time with Cecy.H. Take pleasure in each other’s company.J. Are completely independent of their parents.
According to the passage, before Cecy became a lawyer’s wife she had intended to devote her life to:A. Making evening dresses.B. Designing furniture.C. Performing good deeds.D. Writing novels.
For any real number a, the equation |x − 2a| = 5. On a number line, how far apart are the 2 solutions for x?F. 2aG. 5 + 2aH. 10aJ. 5K. 10
As it is used in Paragraph 3, the phrase “the eyes, always Clover’s chief beauty, had still that pathetic look” most nearly means that:F. Clover was beautiful with the exception of her pitiable eyes.G. Clover’s eyes aroused a feeling of compassion.H. people often felt sorry for Clover when
The fact that Clover is preparing to attend a milestone event can best be exemplified by which of the following quotations from the passage?A. “I always said my first party dress should be plain white.”B. “with no particular one moment which could be fixed upon as having been the climax of
It can be reasonably inferred from the context of the passage that Cecy is:F. A sister of Clover and Elsie.G. A dear friend of Clover.H. A middle-aged acquaintance of the Carr family.J. Approximately the same age as Elsie.
The area of the trapezoid below is 24 square inches, the altitude is 3 inches, and the length of one base is 5 inches. What is the length, b, of the other base, in inches?A. 3B. 8C. 11D. 13E. 16 b 5 3
If x = 6a + 3 and y = 9 + a, which of the following expresses y in terms of x?A. y = x + 51B. y = 7x + 12C. y = 9 + xD. y = 57 + x/6E. y = 51 + x/6
When Clover says “She was rather wedded to them,” (line 65) she is expressing her belief that:A. Cecy was married when she wore pink roses.B. Cecy’s husband presented her with pink roses on their wedding day.C. Cecy seemed to have a sentimental attachment to pink roses.D. Cecy believed that
The total weekly profit p, in dollars, from producing and selling x units of a certain product is given by the function p(x) = 225x − (165x + c), where c is a constant. If 75 units were produced and sold last week for a profit of $3,365, what is the value of c?A. −1,135B. −745C. 1,135D.
A wheel 27 inches in diameter rolls along a line. How many inches does the wheel roll along the line in 32 revolutions?A. 27πB. 32πC. 432πD. 864πE. 1,728π
Carol has an empty container and puts in 6 red chips. She now wants to put in enough white chips so that the probability of drawing a red chip at random from the container is 3/8. How many white chips should she put in?F. 3G. 6H. 8J. 10K. 16
For all real integers, which of the following is always an even number?I. x3 + 4II. 2x + 4III. 2x2 + 4A. I onlyB. II onlyC. III onlyD. I and II onlyE. II and III only
In ΔABC below, points B, D, and C are collinear. Segment AB is perpendicular to segment BC, and segment AD bisects angle BAC. If the measure of angle DCA is 60◦, what is the measure of angle ADB?A. 15◦B. 45◦C. 60◦D. 75◦E. 105◦ A B D C
For which values of x will 3(x + 4) ≥ 9(4 + x)?F. x ≤ −4G. x ≥ −4H. x ≥ −16J. x ≤ 4K. x ≤ −16
The polygon below was once a rectangle with sides 10 and 14 before a triangle was cut off. What is the perimeter, in inches, of this polygon?F. 54G. 48H. 46J. 41K. 36 10 10 14 7
Each of the 3 lines crosses the other 2 lines as shown below. Which of the following relationships, involving angle measures (in degrees) must be true?I. m ∠ 2 + m ∠ 7 + m ∠ 12 = 180◦II. m ∠ 4 + m ∠ 5 + m ∠ 10 = 180◦III. m ∠ 3 + m ∠ 8 + m ∠ 11 = 180◦A. I onlyB. II onlyC.
If 30% of x equals 60% of y, which of the following expresses y in terms of x ?A. y = 33% of xB. y = 50% of xC. y = 66% of xD. y = 150% of xE. y = 200% of x
For all x > 4, 4x − x2 / x2 − 2x − 8 =?F. − x/x + 2G. x/x − 2H. 1/x + 2J. −1/8K. 1/8
If a, b, and c are consecutive positive integers and 2a × 2b × 2c = 512, then 2a + 2b + 2c =?F. 6G. 9H. 14J. 16K. 28
If the function ƒ satisfies the equation ƒ(x + y) = ƒ(x) + ƒ(y) for every pair of real numbers x and y, what is (are) the possible value(s) of ƒ(1)?F. Any real numberG. Any positive real numberH. 0 and 1 onlyJ. 0 onlyK. 1 only
If the circumference of a circle is 4/3 πinches, how many inches long is its radius?A. 3/4B. 3/2C. 2/3D. 4/3E. 4√3/3
In the figure below, what is the sum of p and q?F. 75◦G. 150◦H. 180◦J. 285◦K. 360◦ pº 105° qº
For what nonzero whole number k does the quadratic equation y2 + 2ky + 4k = 0 have exactly one real solution for y?F. 8G. 4H. 2J. −4K. −8
You have enough material to build a fence 120-feet long. If you use it all to enclose a square region, how many square feet will you enclose?A. 900B. 480C. 240D. 120E. 60
If x2 − y2 = 49 and x − y = 7, then x =?F. 14G. 7H. 4J. −4K. −7
A circle in the standard (x, y) coordinate plane has center (−4,5) and radius 5 units. Which of the following equations represents this circle?A. (x − 4)2 − (y + 5)2 = 5B. (x − 4)2 + (y + 5)2 = 5C. (x − 4)2 − (y + 5)2 = 25D. (x + 4)2 + (y − 5)2 = 25E. (x + 4)2 −
For a = 0, a9/a3 is equivalent to:A. 1B. 3C. a3D. a4E. a6
Which of the following is equal to (1/3 −1/4)/(1/3 + 1/4)?A. −1/7B. 1/7C. 1/12D. 7/12E. 12/7
How many different positive 3-digit integers can be formed if the three digits 3, 4, and 5 must be used in each of the integers?F. 6G. 7H. 8J. 9K. 12
How many ordered pairs (x, y) of real numbers will satisfy the equation 5x − 7y = 13?A. 0B. 1C. 2D. 3E. Infinitely many
The volume, V, of a sphere is determined by the formula V = 4πr3/3, where r is the radius of the sphere. What is the volume, in cubic inches, of a sphere with a diameter 12 inches long?F. 48G. 72H. 288J. 864K. 2304
The number 0.002 is 100 times as large as which of the following numbers?A. 0.000002B. 0.00002C. 0.0002D. 0.02E. 0.2
In the standard (x,y) coordinate plane shown below, what is the distance on the y-axis, in units, from point A to point B?F. −3G. −5H. 3J. 5K. 11 A (-2,8) B (5,3) X
If √2x + 5 = 9, then x = ?A. −4B. 2C. 4D. 8E. 16
One traffic light flashes every 6 seconds. Another traffic light flashes every 9 seconds. If they flash together and you begin counting seconds, how many seconds after they flash together will they next flash together?F. 6G. 9H. 18J. 36K. 54
An overlay of an accessibility ramp of a building is placed on the standard (x, y) coordinate plane so that the x-axis aligns with the horizontal. The line segment representing the side view of the ramp goes through the points (−2,−1) and (16,2). What is the slope of the accessibility ramp?F.
In a 3-dimensional (x, y, z) space, the set of all points 5 units from the x-axis is:A. A line.B. 2 parallel lines.C. A circle.D. A sphere.E. A cylinder.
In the figure below, S and T are points on RU. What is the ratio of the area of square STVX to the area of parallelogram RUVY?F. 3:8G. 1:11H. 3:11J. 9:11K. 3:24 Y R 8 cm S X 3 cm T V
Due to inflation, a refrigerator that formerly sold for $450 now sells for 7% more. Which of the following calculations gives the current cost, in dollars, of the refrigerator?F. 450 + 7G. 450 + 450(0.07)H. 450 + 450(0.7)J. 450 + 450(7)K. 450(0.07)
Which of the following is an equivalent form of x + x(x + x + x)?A. 5xB. x2 + 3xC. 3x2 + xD. 5x2E. x3 + x
What is the value of b in the solution to the system of equations below?3a − b = 18a + 3b = −4F. −10G. −3H. 3J. 6K. Cannot be determined with the given information
If n = 10, then which of the following represents 552?A. 5n + 2B. 5n2 + 2C. 5n2 + 5n + 2D. 5n3 + 5n + 2E. 5n4 + 5n + 2
If 0 < pr < 1, then which of the following CANNOT be true?F. p < 0 and r < 0G. p < −1 and r < 0H. p < −1 and r < −1J. p < 1 and r < 1K. p < 1 and r > 0
Which of the following is NOT a solution of (x − 5)(x − 3)(x + 3)(x + 9) = 0?A. 5B. 3C. −3D. −5E. −9
A map is drawn so that 1.2 inches represents 50 miles. About how many miles do 1.4 inches represent?F. 54G. 58H. 65J. 70K. 100
If ƒ(x) = 2x2 − 6x + 7, then ƒ(−3) =?A. 7B. 18C. 25D. 36E. 43
For what value of a is b = 4 a solution to the equation b − 2 = ab + 16?A. −3.5B. −1.5C. 0D. 3.5E. 7

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