Question_Number,exam_name,subject,Category_Domain,Context_Info,Question,Options,Correct_Letter,Correct_Answer_Text,Context,Answer_label naep_sci_1,naep,economics,The National Economy,,Spending on training and education programs for workers as a percentage of gross domestic product is greater in Country A than in Country B. Which of the following is most likely to be true over the long term?,"{ ""A"": ""Country A's economic growth rate will be higher than Country B's."", ""B"": ""Country A's interest rate will be lower than Country B's."", ""C"": ""Country A's trade surplus will be higher than Country B's."", ""D"": ""Country A's minimum-wage rate will be lower than Country B's."" }",A,Country A's economic growth rate will be higher than Country B's.,, naep_sci_2,naep,economics,The National Economy,,Which of the following changes is most likely to cause an increase in employment?,"{ ""A"": ""An increase in consumer spending"", ""B"": ""An increase in interest rates"", ""C"": ""A decrease in business investment"", ""D"": ""A decrease in income"" }",A,An increase in consumer spending,, naep_sci_3,naep,economics,The International Economy,,Suppose that the value of the Japanese yen declines relative to the United States dollar in foreign exchange markets. United States exports to Japan and United States imports from Japan are most likely to change in which of the following ways?,"{ ""A"": ""Increase Increase"", ""B"": ""Increase Decrease"", ""C"": ""Decrease Increase"", ""D"": ""Decrease Decrease"" }",C,"Decrease Increase",, naep_sci_4,naep,economics,The Market Economy,National Shortage of Nurses Reported by United States Labor Department,Which of the following would most likely reduce the nursing shortage reported in the headline above?,"{ ""A"": ""Increasing the wage rate of nurses"", ""B"": ""Opening additional hospitals in cities"", ""C"": ""Decreasing the number of nursing school scholarships"", ""D"": ""Raising the certification requirements for registered nurses"" }",A,Increasing the wage rate of nurses,, naep_sci_5,naep,economics,The National Economy,,Which of the following is most likely to cause a drop in short-term interest rates?,"{ ""A"": ""An increase in government spending"", ""B"": ""An increase in the money supply"", ""C"": ""An increase in bank reserve requirements"", ""D"": ""An increase in the national debt"" }",B,An increase in the money supply,, naep_sci_6,naep,economics,The International Economy,,Which of the following would most likely result if the United States Congress were to place a tariff on imports of aluminum?,"{ ""A"": ""United States consumers would pay higher prices for goods made with aluminum."", ""B"": ""The tariff would increase the United States economy's growth rate by raising productivity rates."", ""C"": ""An increase in costs would cause United States producers of aluminum to decrease production."", ""D"": ""United States manufacturers that use aluminum to produce goods would benefit."" }",A,United States consumers would pay higher prices for goods made with aluminum.,, naep_sci_7,naep,economics,The National Economy,,How would a large increase in the number of business and personal bankruptcies over several years tend to affect the interest rates that banks charge for loans?,"{ ""A"": ""Interest rates would fall because the supply of funds would decrease."", ""B"": ""Interest rates would rise because banks would find it riskier to lend funds."", ""C"": ""Interest rates would stay the same because banks are not affected by bankruptcies."", ""D"": ""The answer cannot be determined because the government sets interest rates that banks charge for loans."" }",B,Interest rates would rise because banks would find it riskier to lend funds.,, naep_sci_8,naep,economics,The Market Economy,,"After watching part of a movie she rented, Samantha finds that it is not as good as she expected. Which of the following should she consider in deciding whether to continue watching the movie?","{ ""A"": ""The price she paid to rent the movie"", ""B"": ""The amount of time she already spent watching the movie"", ""C"": ""The activity she could do if she stopped watching the movie"", ""D"": ""The time it would take to return the movie"" }",C,The activity she could do if she stopped watching the movie,, naep_sci_9,naep,economics,The National Economy,,Which of the following actions can the Federal Reserve take to reduce inflationary pressures in the United States?,"{ ""A"": ""Increase government spending"", ""B"": ""Increase the money supply"", ""C"": ""Increase interest rates"", ""D"": ""Increase taxes"" }",C,Increase interest rates,, naep_sci_10,naep,economics,The Market Economy,,"In a market economy, most decisions about which goods and services to produce, how to produce them, and who will consume them are made primarily by which of the following?","{ ""A"": ""The national government"", ""B"": ""Industry planning groups"", ""C"": ""Local and state governments"", ""D"": ""Consumers and producers"" }",D,Consumers and producers,, naep_sci_11,naep,economics,The Market Economy,,Janet decides to drop out of college to work full-time. What is most likely to happen to Janet's income relative to that of a classmate who stays and graduates from college?,"{ ""A"": ""Janet's income will be greater than the classmate's income now and in the future."", ""B"": ""Janet's income will be greater than the classmate's income now but will be lower in the future."", ""C"": ""Janet's income will be lower than the classmate's income both now and in the future."", ""D"": ""Janet's income will be lower than the classmate's income now but will be greater in the future."" }",B,Janet's income will be greater than the classmate's income now but will be lower in the future.,, naep_sci_12,naep,economics,The Market Economy,,Which of the following statements best explains why a large increase in the price of gasoline will result in only a small decrease in quantity demanded?,"{ ""A"": ""Gasoline is a luxury good."", ""B"": ""Gasoline takes a large portion of consumers' budgets."", ""C"": ""Gasoline has no close substitutes."", ""D"": ""Gasoline taxes remain high."" }",C,Gasoline has no close substitutes.,, naep_sci_13,naep,economics,The National Economy,,"Of the following, which is the most important factor in improving a country's human capital?","{ ""A"": ""Job training"", ""B"": ""Computer technology"", ""C"": ""Factory machinery"", ""D"": ""Highway construction"" }",A,Job training,, naep_sci_14,naep,economics,The National Economy,,The federal government receives the greatest amount of tax revenue from which of the following sources?,"{ ""A"": ""Estate taxes"", ""B"": ""Property taxes"", ""C"": ""Sales taxes"", ""D"": ""Income taxes"" }",D,Income taxes,, naep_sci_15,naep,economics,The Market Economy,,"As the demand for T-shirts increases and the price of T-shirts rises, how will T-shirt producers in a competitive market most likely respond?","{ ""A"": ""By laying off T-shirt workers to reduce production costs"", ""B"": ""By making fewer T-shirts to meet their income goals"", ""C"": ""By buying more cotton fabric to make more T-shirts"", ""D"": ""By increasing advertising spending to increase T-shirt sales"" }",C,By buying more cotton fabric to make more T-shirts,, naep_sci_16,naep,economics,The Market Economy,,Rashad wants to buy a video game and a new shirt. Each item costs $40. Rashad has only $40 to spend. He decides to buy the new shirt instead of the video game. The video game represents which of the following?,"{ ""A"": ""Opportunity cost"", ""B"": ""Equilibrium price"", ""C"": ""Economic efficiency"", ""D"": ""Comparative advantage"" }",A,Opportunity cost,, naep_sci_17,naep,economics,The Market Economy,,Which of the following economic roles does a government play when it provides copyright protection for recorded music?,"{ ""A"": ""Granting property rights"", ""B"": ""Preventing monopoly"", ""C"": ""Setting fiscal policy"", ""D"": ""Providing public goods"" }",A,Granting property rights,, naep_sci_18,naep,economics,The International Economy,,Which of the following best explains why a product once manufactured in the United States is no longer made here and is now imported from other countries?,"{ ""A"": ""The technology needed to make the product has become less expensive in the United States."", ""B"": ""The technology needed to make the product has become more expensive in other countries."", ""C"": ""The opportunity cost of making the product in other countries has increased."", ""D"": ""The opportunity cost of making the product in the United States has increased."" }",D,The opportunity cost of making the product in the United States has increased.,, naep_sci_19,naep,economics,The International Economy,,A United States senator relies on the political support of cattle ranchers. Which position on a United States tariff on imported beef is most likely to increase the senator's support among cattle ranchers?,"{ ""A"": ""The tariff should be decreased to increase United States cattle prices."", ""B"": ""The tariff should be decreased to decrease United States cattle prices."", ""C"": ""The tariff should be increased to increase United States cattle prices."", ""D"": ""The tariff should be increased to decrease United States cattle prices."" }",C,The tariff should be increased to increase United States cattle prices.,, naep_sci_20,naep,economics,The Market Economy,,Assume that an influential new study shows that eating sweet potatoes reduces the risk of heart attacks. Which of the following is most likely to be the initial effect of the study on the sweet-potato market?,"{ ""A"": ""The supply of sweet potatoes will increase, and the price of sweet potatoes will rise."", ""B"": ""The supply of sweet potatoes will decrease, and the price of sweet potatoes will fall."", ""C"": ""The demand for sweet potatoes will decrease, and the price of sweet potatoes will fall."", ""D"": ""The demand for sweet potatoes will increase, and the price of sweet potatoes will rise."" }",D,"The demand for sweet potatoes will increase, and the price of sweet potatoes will rise.",, naep_sci_21,naep,economics,The National Economy,,Which of the following is the most likely effect of a large decrease in total demand for goods and services?,"{ ""A"": ""Inflation will increase and unemployment will decrease."", ""B"": ""Inflation will decrease and unemployment will decrease."", ""C"": ""Inflation will decrease and unemployment will increase."", ""D"": ""Inflation will increase and unemployment will increase."" }",C,Inflation will decrease and unemployment will increase.,, naep_sci_22,naep,economics,The Market Economy,,Which of the following is most likely to reduce the number of people who own their own homes?,"{ ""A"": ""Removing controls on rent so that apartment rents can rise"", ""B"": ""Increasing the property tax rates on rental property"", ""C"": ""Eliminating tax advantages for homeowners on federal income taxes"", ""D"": ""Offering a discount on homeowners insurance expenses for first-time buyers"" }",C,Eliminating tax advantages for homeowners on federal income taxes,, naep_sci_23,naep,economics,The National Economy,,What is most likely to happen following a decrease in demand for consumer loans?,"{ ""A"": ""Interest rates will increase."", ""B"": ""Interest rates will decrease."", ""C"": ""Federal government spending will decrease."", ""D"": ""Federal government spending will increase."" }",B,Interest rates will decrease.,, naep_sci_24,naep,economics,The Market Economy,,"Carol owns a T-shirt shop in a busy tourist town. Because she has many competitors, she has no control over the price of T-shirts. If Carol's rent for the store space doubles, which of the following is most likely to occur?","{ ""A"": ""Her profits will decrease."", ""B"": ""Her revenues will decrease."", ""C"": ""Her sales of T-shirts will increase."", ""D"": ""Her inventory will increase."" }",A,Her profits will decrease.,, naep_sci_25,naep,economics,The Market Economy,,Which of the following best describes an opportunity cost for a student who chooses to quit a full-time job to go to college?,"{ ""A"": ""Paying state and federal income tax"", ""B"": ""Having a higher level of education"", ""C"": ""Giving up current wages and benefits"", ""D"": ""Paying for housing and meals"" }",C,Giving up current wages and benefits,, naep_sci_26,naep,economics,The Market Economy,,"Fred purchased shares of stock in a fast-food corporation for $10,000. Maria is sole proprietor of a fastfood restaurant that she purchased for $10,000. Which of the following statements best describes the maximum amount that Fred and Maria can lose on their investments?","{ ""A"": ""Fred can lose only $10,000, but Maria can lose more."", ""B"": ""Maria can lose only $10,000, but Fred can lose more."", ""C"": ""Both Fred and Maria can lose only $10,000."", ""D"": ""Both Fred and Maria can lose more than $10,000."" }",A,"Fred can lose only $10,000, but Maria can lose more.",, naep_sci_27,naep,economics,The National Economy,,In which of the following situations would an economist recommend expanding an existing government program?,"{ ""A"": ""When the total cost of the program is greater than the total benefits produced by the program"", ""B"": ""When the total benefits produced by the program are greater than the total cost of the program"", ""C"": ""When the additional benefits of expanding the program are greater than the additional costs"", ""D"": ""When the additional costs of expanding the program are greater than the additional benefits"" }",C,When the additional benefits of expanding the program are greater than the additional costs,, naep_sci_28,naep,economics,The Market Economy,,Resource allocation in competitive markets is primarily guided by which of the following?,"{ ""A"": ""The interaction of supply and demand"", ""B"": ""Regulations established by governments"", ""C"": ""Negotiations between labor unions and management"", ""D"": ""Investment decisions made by commercial banks"" }",A,The interaction of supply and demand,, naep_sci_29,naep,economics,The National Economy,,Which of the following is one way in which economic growth can help a nation reduce its poverty level and increase its standard of living?,"{ ""A"": ""Economic growth increases the demand for imports, thereby raising the demand for foreign exchange."", ""B"": ""Economic growth increases the supply of labor, thereby increasing wages."", ""C"": ""Economic growth increases disposable income, thereby decreasing the demand for luxury items."", ""D"": ""Economic growth increases the demand for labor, thereby raising income levels."" }",D,"Economic growth increases the demand for labor, thereby raising income levels.",, naep_sci_30,naep,economics,The Market Economy,,"Last year Emery's annual salary was $20,000. At the end of the year, Emery received a $2,000 raise. Six months later the company increased Emery's salary again because he finished his master's degree. His new salary is $25,000. What is the additional benefit of his having earned a master's degree?","{ ""A"": ""$25,000"", ""B"": ""$22,000"", ""C"": ""$5,000"", ""D"": ""$3,000"" }",D,"$3,000",, naep_sci_31,naep,economics,The International Economy,,Which of the following must be true if a country has a comparative advantage in the production of computers?,"{ ""A"": ""It has a lower opportunity cost in producing computers than do its trading partners."", ""B"": ""It has more workers producing computers than do its trading partners."", ""C"": ""It has less advanced technology in producing computers than do its trading partners."", ""D"": ""It imports more computers than do its trading partners."" }",A,It has a lower opportunity cost in producing computers than do its trading partners.,, naep_sci_32,naep,economics,The Market Economy,Local School District Hires New Teachers,The headline above refers to which of the following productive resources?,"{ ""A"": ""Natural resources"", ""B"": ""Human resources"", ""C"": ""Capital goods"", ""D"": ""Renewable resources"" }",B,Human resources,, naep_sci_33,naep,economics,The Market Economy,,Which of the following is a characteristic of a market economy?,"{ ""A"": ""Prices are determined by the interaction of buyers and sellers."", ""B"": ""Government determines the quantity of goods purchased."", ""C"": ""Tax policies are used to eliminate scarcity."", ""D"": ""Deregulation serves to limit most imports."" }",A,Prices are determined by the interaction of buyers and sellers.,, naep_sci_34,naep,economics,The National Economy,,Which of the following policies would most likely increase a country's long-term economic growth?,"{ ""A"": ""Encouraging more energy consumption"", ""B"": ""Encouraging business investment in equipment"", ""C"": ""Increasing government spending on retirement payments"", ""D"": ""Increasing the growth of the money supply"" }",B,Encouraging business investment in equipment,, naep_sci_35,naep,economics,The National Economy,,Which of the following conditions must Marta meet to be counted as unemployed?,"{ ""A"": ""She must be working part-time."", ""B"": ""She must have been fired from her previous job."", ""C"": ""She must have been out of work for at least eight weeks."", ""D"": ""She must be out of work and actively looking for a job."" }",D,She must be out of work and actively looking for a job.,, naep_sci_36,naep,economics,The National Economy,,Which of the following is the most commonly used measure of inflation?,"{ ""A"": ""Gross domestic product"", ""B"": ""Index of Leading Economic Indicators"", ""C"": ""Consumer price index"", ""D"": ""Dow Jones Industrial Average"" }",C,Consumer price index,, naep_sci_37,naep,economics,The National Economy,,Suppose a large increase in government borrowing competes with private borrowing. What would most likely happen to interest rates and business investment?,"{ ""A"": ""DecreaseDecrease"", ""B"": ""DecreaseIncrease"", ""C"": ""IncreaseDecrease"", ""D"": ""IncreaseIncrease"" }",C,Increase Decrease,, naep_sci_38,naep,economics,The Market Economy,,Which statement best explains why all countries face the problem of scarcity?,"{ ""A"": ""Governments spend too much money."", ""B"": ""Increases in inflation have an impact on economic choices."", ""C"": ""Changes in demand and supply occur."", ""D"": ""People's wants are greater than their resources."" }",D,People's wants are greater than their resources.,, naep_sci_39,naep,economics,The National Economy,"A city currently has one recreation center to serve its young people. To reduce crime, the city is considering building a second recreation center to provide more young people with healthy alternative activities.","According to economic reasoning, under what conditions should the city build a second center?","{ ""A"": ""If the second center is expected to be used more than half the time"", ""B"": ""If the second center is expected to reduce the crime rate by 10%"", ""C"": ""When the cost of the second center is expected to be less than the benefits from it"", ""D"": ""When the total cost of both of the recreation centers is expected to be less than their total benefits"" }",C,When the cost of the second center is expected to be less than the benefits from it,, naep_sci_40,naep,economics,The Market Economy,,Which of the following is a form of business organization that offers limited liability to its owners and helps them raise financial capital?,"{ ""A"": ""Sole proprietorship"", ""B"": ""Monopoly"", ""C"": ""Corporation"", ""D"": ""Consultancy"" }",C,Corporation,, naep_sci_41,naep,economics,The National Economy,,Which of the following will increase the money supply in the United States?,"{ ""A"": ""The Federal Reserve raises the discount rate."", ""B"": ""A company sells shares of a new stock offering."", ""C"": ""A customer pays a monthly credit card bill."", ""D"": ""A bank makes a loan to a business."" }",D,A bank makes a loan to a business.,, naep_sci_42,naep,economics,The National Economy,,"Assume that the current interest rate is 7 percent and that the current rate of inflation is 3 percent. Under these conditions, which of the following is the real interest rate?","{ ""A"": ""3 percent"", ""B"": ""4 percent"", ""C"": ""7 percent"", ""D"": ""10 percent"" }",B,4 percent,, naep_sci_43,naep,economics,The International Economy,,Country X and Country Y are trading partners. Country X has a comparative advantage in the production of cars. Country Y has a comparative advantage in the production of wheat. Which of the following events would most likely change the comparative advantages of these countries?,"{ ""A"": ""A new dam floods half the farmland in Country Y."", ""B"": ""The price of bread in Country X decreases."", ""C"": ""Country X removes its tariff on automobiles."", ""D"": ""The value of Country X's currency increases."" }",A,A new dam floods half the farmland in Country Y.,, naep_sci_44,naep,economics,The Market Economy,,Which of the following would give a business more control over the price of its product?,"{ ""A"": ""A decrease in consumers' incomes"", ""B"": ""A decrease in the number of competitors in the market"", ""C"": ""An increase in the number of substitute goods available"", ""D"": ""An increase in the cost of production"" }",B,A decrease in the number of competitors in the market,, naep_sci_45,naep,economics,The International Economy,,"Under a flexible exchange rate system, the international value of a country's currency is determined primarily by which of the following in the foreign exchange market?","{ ""A"": ""The educational achievements of the country's population"", ""B"": ""The quality and availability of the country's technology"", ""C"": ""The supply of and demand for the country's currency"", ""D"": ""The strength of the country's industries"" }",C,The supply of and demand for the country's currency,, naep_sci_1,naep,science,life_science,,The carbon from carbon dioxide in the atmosphere is converted to carbohydrates in plants during which process?,"{ ""A"": ""Respiration"", ""B"": ""Evaporation"", ""C"": ""Transpiration"", ""D"": ""Photosynthesis"" }",,Photosynthesis,,D naep_sci_2,naep,science,earth_environmental,,How did these changes affect the rock record?,"{ ""A"": ""Fossils were more frequently preserved."", ""B"": ""Sediments in the ocean basins were deposited more slowly."", ""C"": ""The amount of coal being produced in Earth's crust decreased."", ""D"": ""Shale and sandstone 'red beds' containing iron oxide formed."" }",,Shale and sandstone 'red beds' containing iron oxide formed.,"The first photosynthetic organisms developed early in Earth's history. Over time, these photosynthetic organisms caused dramatic changes in Earth's atmosphere.",D naep_sci_3,naep,science,earth_environmental,,Which process releases $\text{CO}_2$ into the atmosphere?,"{ ""A"": ""Condensation"", ""B"": ""Photosynthesis"", ""C"": ""Shell formation in seawater"", ""D"": ""Volcanic eruption"" }",,Volcanic eruption,,D naep_sci_4,naep,science,life_science,,Which subunit makes up protein molecules?,"{ ""A"": ""Amino acid"", ""B"": ""Simple sugar"", ""C"": ""Fatty acid"", ""D"": ""Nucleic acid"" }",,Amino acid,,A naep_sci_5,naep,science,earth_environmental,,Which phenomenon results primarily from Earth's internal sources of heat?,"{ ""A"": ""Melting of glaciers"", ""B"": ""Formation of hot deserts"", ""C"": ""Evaporation of ocean water"", ""D"": ""Development of hot springs"" }",,Development of hot springs,,D naep_sci_6,naep,science,life_science,,"In which order are the plants most likely to appear, from earliest to latest?","{ ""A"": ""Mosses and lichens, grasses, shrubs, pines, oaks"", ""B"": ""Grasses, shrubs, pines, mosses and lichens, oaks"", ""C"": ""Shrubs, grasses, mosses and lichens, oaks, pines"", ""D"": ""Pines, mosses and lichens, shrubs, oaks, grasses"" }",,"Mosses and lichens, grasses, shrubs, pines, oaks","Heavy rain on a hillside has caused a rockslide. All vegetation has disappeared. Gradually, plant life moves back into the area and species are replaced by other species.",A naep_sci_7,naep,science,physical_science,,Ice floats on water. Which statement best explains why?,"{ ""A"": ""A molecule of liquid water has a greater mass than a molecule of solid ice."", ""B"": ""A molecule of liquid water has a smaller volume than a molecule of solid ice."", ""C"": ""The molecules of liquid water are closer together than the molecules of solid ice."", ""D"": ""The molecules of liquid water are freer to move than the molecules of solid ice."" }",,The molecules of liquid water are closer together than the molecules of solid ice.,,C act_mat_1,act,maths,functions,"A function,$f$, is defined by the equation$f(x) = x^2 + 5$.",What is$f(3) + 1$?,"{ ""A"": ""9"", ""B"": ""11"", ""C"": ""12"", ""D"": ""15"" }",C,12,, act_mat_2,act,maths,number_quantity,Given$b = 40$and$c = -16$,$b + c$is equal to the product of$-4$and what number?,"{ ""A"": ""-14"", ""B"": ""-6"", ""C"": ""6"", ""D"": ""14"" }",D,14,, act_mat_3,act,maths,number_quantity,It takes Collin 24 minutes to walk to school in the morning.,What fraction of his 24-hour day is spent walking to school in the morning?,"{ ""A"": ""$\frac{1}{1,440}$"", ""B"": ""$\frac{1}{60}$"", ""C"": ""$\frac{1}{24}$"", ""D"": ""$\frac{1}{12}$"" }",D,$\frac{1}{12}$,, act_mat_4,act,maths,geometry,"A certain triangle has interior angle measures of$(6x)^\circ$,$(2x)^\circ$, and$x^\circ$.",What is the value of$x$?,"{ ""A"": ""9"", ""B"": ""12"", ""C"": ""20"", ""D"": ""57"" }",D,57,, act_mat_5,act,maths,algebra,Which of the following matrices is equal to$6 \begin{bmatrix} -5 & 3 \\ 0 & -4 \end{bmatrix}$?,Which of the following matrices is equal to$6 \begin{bmatrix} -5 & 3 \\ 0 & -4 \end{bmatrix}$?,"{ ""A"": ""$\begin{bmatrix} -30 & -6 \end{bmatrix}$"", ""B"": ""$\begin{bmatrix} 1 & 9 \\ 6 & 2 \end{bmatrix}$"", ""C"": ""$\begin{bmatrix} -\frac{5}{6} & \frac{1}{2} \\ 0 & -\frac{2}{3} \end{bmatrix}$"", ""D"": ""$\begin{bmatrix} -30 & 18 \\ 0 & -24 \end{bmatrix}$"" }",D,$\begin{bmatrix} -30 & 18 \\ 0 & -24 \end{bmatrix}$,, act_mat_6,act,maths,functions,"An object is launched vertically at 30 meters per second from a 55-meter-tall platform. The height,$h(t)$meters, of the object$t$seconds after launch is modeled by$h(t) = -4.9t^2 + 30t + 55$.","What will be the height, in meters, of the object 3 seconds after launch?","{ ""A"": ""44.1"", ""B"": ""100.9"", ""C"": ""145"", ""D"": ""189.1"" }",C,145,, act_mat_7,act,maths,algebra,Given the function$f(x) = 4x^2 - 14x + 12$,Which of the following expressions is equivalent to$f(x)$?,"{ ""A"": ""$(-2x + 4)(2x + 3)$"", ""B"": ""$(2x - 4)(2x - 3)$"", ""C"": ""$(2x - 4)(2x + 3)$"", ""D"": ""$(2x - 3)(2x + 4)$"" }",B,$(2x - 4)(2x - 3)$,, act_mat_8,act,maths,algebra,Which of the following is equivalent to$(6x + 3y) - (y - 2x)$?,Which of the following is equivalent to$(6x + 3y) - (y - 2x)$?,"{ ""A"": ""$4x + 2y$"", ""B"": ""$5x + y$"", ""C"": ""$5x + 5y$"", ""D"": ""$8x + 2y$"" }",A,$4x + 2y$,, act_mat_9,act,maths,number_quantity,"Bryce owns an apartment building. He charges $325 per month for each 1-bedroom apartment and $410 per month for each 2-bedroom apartment. Bryce charged a total of $4,905 in rent for 13 apartments this month.",How many 1-bedroom apartments did Bryce charge for this month?,"{ ""A"": ""5"", ""B"": ""6"", ""C"": ""7"", ""D"": ""8"" }",A,5,, act_mat_10,act,maths,algebra,For what value of$n$does the quadratic equation$x^2 - 4x + n = 0$have solutions of$x = 7$and$x = -3$?,For what value of$n$does the quadratic equation$x^2 - 4x + n = 0$have solutions of$x = 7$and$x = -3$?,"{ ""A"": ""-21"", ""B"": ""-4"", ""C"": ""4"", ""D"": ""10"" }",C,4,, act_mat_11,act,maths,geometry,The lengths of corresponding sides of 2 similar right triangles are in the ratio 4:5. The hypotenuse of the smaller triangle is 20 inches long.,How many inches long is the hypotenuse of the larger triangle?,"{ ""A"": ""9"", ""B"": ""20"", ""C"": ""21"", ""D"": ""25"" }",D,25,, act_mat_12,act,maths,geometry,"A circle in the standard$(x,y)$coordinate plane has its center at$(3,-4)$and passes through$(0,0)$.",Which of the following is an equation for that circle?,"{ ""A"": ""$x^2 + y^2 = 5$"", ""B"": ""$(x - 3)^2 + (y + 4)^2 = 25$"", ""C"": ""$(x + 3)^2 + (y - 4)^2 = 7$"", ""D"": ""$(x + 3)^2 + (y - 4)^2 = 25$"" }",B,$(x - 3)^2 + (y + 4)^2 = 25$,, act_mat_13,act,maths,number_quantity,$\sqrt{112} + \sqrt{63} + \sqrt{175} = ?$,$\sqrt{112} + \sqrt{63} + \sqrt{175} = ?$,"{ ""A"": ""$7\sqrt{12}$"", ""B"": ""$7\sqrt{50}$"", ""C"": ""$12\sqrt{7}$"", ""D"": ""$60\sqrt{7}$"" }",C,$12\sqrt{7}$,, act_mat_14,act,maths,number_quantity,"The sum of 3 positive integers is 180, and the ratio of the integers is 5:3:2.",What is the value of the smallest of the integers?,"{ ""A"": ""18"", ""B"": ""36"", ""C"": ""54"", ""D"": ""902"" }",D,902,, act_mat_15,act,maths,statistics_probability,Jeremy reaches into a box in the closet. The box contains 10 gloves that make up 5 matching pairs. He picks 1 glove at random and puts it on. Then he picks another glove at random.,What is the probability that he has picked a matching pair?,"{ ""A"": ""$\frac{1}{9}$"", ""B"": ""$\frac{1}{5}$"", ""C"": ""$\frac{4}{9}$"", ""D"": ""$\frac{1}{2}$"" }",D,$\frac{1}{2}$,, act_mat_16,act,maths,number_quantity,"During an event, a store gave a free T-shirt to every 24th customer that entered the store and a free gift certificate to every 60th customer that entered the store. Given that 500 customers entered the store during the event.",How many customers received both a free T-shirt and a free gift certificate?,"{ ""A"": ""2"", ""B"": ""4"", ""C"": ""12"", ""D"": ""24"" }",A,2,, act_mat_17,act,maths,statistics_probability,"Cameron's bookshelf has 3 books with a rating of 10, 5 books with a rating of 100, and 2 books with a rating of 70. There are no other books on the bookshelf.","What is the expected value, to the nearest whole number, of the rating of a book randomly selected from Cameron's bookshelf?","{ ""A"": ""18"", ""B"": ""60"", ""C"": ""67"", ""D"": ""85"" }",C,67,, act_mat_18,act,maths,algebra,"The 1st term of a certain sequence is -10, and the 2nd term is 1. Each subsequent term is obtained by adding the 2 immediately preceding terms.",What is the 5th term of this sequence?,"{ ""A"": ""-23"", ""B"": ""-17"", ""C"": ""19"", ""D"": ""34"" }",B,-17,, act_mat_19,act,maths,algebra,Which of the following values is the y-value of the solution to the given system of equations?,Which of the following values is the y-value of the solution to the given system of equations?,"{ ""A"": ""$y = -2\frac{1}{2}$"", ""B"": ""$y = -2$"", ""C"": ""$y = -\frac{3}{4}$"", ""D"": ""$y = 5$"" }",B,$y = -2$,, act_mat_20,act,maths,geometry,The vertex angle of an isosceles triangle is$40^\circ$.,What is the measure of a base angle?,"{ ""A"": ""$40^\circ$"", ""B"": ""$70^\circ$"", ""C"": ""$100^\circ$"", ""D"": ""$140^\circ$"" }",A,$40^\circ$,, act_mat_21,act,maths,geometry,"A scale model, where 1 coordinate unit represents 1 mile, is drawn in the standard$(x,y)$coordinate plane. Angelo's house is at$(4,-3)$, Ella's house is at$(4,7)$, Troy's house is at$(-2,7)$, and Yoko's house is at$(-2,-3)$.","Which of the following is closest to the area, in square miles, of the rectangle whose vertices are the real locations of the 4 houses?","{ ""A"": ""32"", ""B"": ""36"", ""C"": ""60"", ""D"": ""100"" }",B,36,, act_mat_22,act,maths,functions,"Let the function$f$be defined as$f(x) = -9x^2$. In the standard$(x,y)$coordinate plane, the graph of$y=f(x)$undergoes a transformation such that the result is the graph of$y=f(x)-4$.",Under this transformation the graph of$y=f(x)$is:,"{ ""A"": ""shifted downward 4 coordinate units."", ""B"": ""shifted left 4 coordinate units."", ""C"": ""stretched horizontally by a factor of 4."", ""D"": ""stretched vertically by a factor of 4."" }",D,stretched vertically by a factor of 4.,, act_mat_23,act,maths,statistics_probability,"Deon often flies his kite. He can only fly his kite on days with wind. He does not fly his kite on every day with wind. For any given day, let Event *A* be that there is wind and let Event *B* be that Deon flies his kite.",Which of the following values can$P(A \text{ and } B)$be?,"{ ""A"": ""0"", ""B"": ""0.5"", ""C"": ""1"", ""D"": ""1.5"" }",D,1.5,, act_mat_24,act,maths,algebra,"Whenever$\frac{-3x^3 + 12x}{x^3 - x^2 - 6x}$is defined, it is equivalent to:","Whenever$\frac{-3x^3 + 12x}{x^3 - x^2 - 6x}$is defined, it is equivalent to:","{ ""A"": ""-2"", ""B"": ""$\frac{1}{x+3}$"", ""C"": ""$\frac{6-3x}{x+3}$"", ""D"": ""$\frac{6-3x}{x-3}$"" }",C,$\frac{6-3x}{x+3}$,, act_mat_25,act,maths,algebra,"The roots of a polynomial equation are 0, 2, and -5.",Which of the following is a factored form of the equation?,"{ ""A"": ""$(x-2)(x+5) = 0$"", ""B"": ""$x(x-2)(x+5) = 0$"", ""C"": ""$x(x+2)(x-5) = 0$"", ""D"": ""$(x-2)(x+5) = x$"" }",B,$x(x-2)(x+5) = 0$,, act_mat_26,act,maths,algebra,"If$\frac{3x-y}{x+y} = \frac{5}{8}$, then$\frac{x}{y} = ?$","If$\frac{3x-y}{x+y} = \frac{5}{8}$, then$\frac{x}{y} = ?$","{ ""A"": ""$\frac{2}{19}$"", ""B"": ""$\frac{13}{19}$"", ""C"": ""$\frac{5}{8}$"", ""D"": ""$\frac{13}{7}$"" }",B,$\frac{13}{19}$,, act_mat_27,act,maths,algebra,"Let the slope of$3x+2y=5$be$m_1$, and the slope of$6x+4y=7$be$m_2$.",Which of the following is true?,"{ ""A"": ""$m_1 = m_2$"", ""B"": ""$m_1 = 2m_2$"", ""C"": ""$2m_1 = m_2$"", ""D"": ""$7m_1 = 5m_2$"" }",A,$m_1 = m_2$,, act_mat_28,act,maths,functions,The piecewise functions$f$and$g$are given.,What is the value of$f(g(-1))$?,"{ ""A"": ""-16"", ""B"": ""-7"", ""C"": ""-5"", ""D"": ""-1"" }",A,-16,, act_mat_29,act,maths,functions,"Let$f$be defined by$f(x) = 4x + 7$. Let$g$be defined by$g(x) = -2x^2 + 11x + 1$. The graphs of$y = f(x)$and$y = g(x)$intersect at one of the following$(x,y)$points.",Which one?,"{ ""A"": ""$(-2,-1)$"", ""B"": ""$(1\frac{1}{2},13)$"", ""C"": ""$(2,1\frac{1}{2})$"", ""D"": ""$(13,-1)$"" }",C,"$(2,1\frac{1}{2})$",, act_mat_30,act,maths,number_quantity,"Given that$i$is the imaginary unit, which of the following numbers is equal to$(7 + 4i)^2$?","Given that$i$is the imaginary unit, which of the following numbers is equal to$(7 + 4i)^2$?","{ ""A"": ""33"", ""B"": ""65"", ""C"": ""$14 + 8i$"", ""D"": ""$33 + 56i$"" }",D,$33 + 56i$,, act_mat_31,act,maths,number_quantity,"The product of 2 complex numbers,$x$and$y$, is a real number that is irrational.",Which of the following statements **cannot** be true?,"{ ""A"": ""Both$x$and$y$are rational."", ""B"": ""Both$x$and$y$are imaginary."", ""C"": ""The product of$x$and$y$is$\sqrt{2}$."", ""D"": ""The product of$x$and$y$is negative."" }",D,The product of$x$and$y$is negative.,, act_mat_32,act,maths,functions,The real solution of the equation$3e^x = 12$is:,The real solution of the equation$3e^x = 12$is:,"{ ""A"": ""$\ln 4$"", ""B"": ""$3\ln 12$"", ""C"": ""$4^e$"", ""D"": ""$\frac{\ln 12}{3}$"" }",A,$\ln 4$,, act_mat_33,act,maths,algebra,"It took Sam$x$minutes to bike the$d$miles from home to work. Returning home on the same route, it took Sam$y$minutes. On the way home his average speed was 2 times his average speed on the way to work.",Which of the following equations gives$y$in terms of$x$?,"{ ""A"": ""$y = \frac{x}{2}$"", ""B"": ""$y = x - 2$"", ""C"": ""$y = x + 2$"", ""D"": ""$y = 2x$"" }",A,$y = \frac{x}{2}$,, act_mat_34,act,maths,functions,Given that$f(x) = \sqrt[3]{2x - 1}$,"Which of the following expressions is the inverse function,$f^{-1}(x)$?","{ ""A"": ""$\frac{1}{\sqrt[3]{2x - 1}}$"", ""B"": ""$\sqrt[3]{\frac{x+1}{2}}$"", ""C"": ""$\frac{x^3 + 1}{2}$"", ""D"": ""$(2x - 1)^3$"" }",B,$\sqrt[3]{\frac{x+1}{2}}$,, act_mat_35,act,maths,statistics_probability,,"Cameron took 4 tests, and his scores were as follows: 100, 60, 80, and 30. Cameron took another test that was scored$x$. The mean score of the 5 tests he took is 72. What is the value of$x$?","{ ""A"": ""54"", ""B"": ""67.5"", ""C"": ""68.4"", ""D"": ""90"" }",D,90,, act_mat_36,act,maths,geometry,,"In$\triangle ABC$,$\angle A$and$\angle C$are congruent, and the measure of$\angle B$is$143.6^\circ$. What is the measure of$\angle A$?","{ ""A"": ""$18.2^\circ$"", ""B"": ""$36.4^\circ$"", ""C"": ""$71.8^\circ$"", ""D"": ""$143.6^\circ$"" }",F,$18.2^\circ$,, act_mat_37,act,maths,algebra,,Which of the following expressions is equivalent to$x^2 - x - 30$?,"{ ""A"": ""$(x+3)(x-10)$"", ""B"": ""$(x+6)(x-5)$"", ""C"": ""$(x-6)(x+5)$"", ""D"": ""$(x-15)(x-15)$"" }",C,$(x-6)(x+5)$,, act_mat_38,act,maths,number_quantity,,Which of the following matrices is equal to$5 \begin{bmatrix} -4 & 2 \\ 0 & -5 \end{bmatrix}$?,"{ ""A"": ""$\begin{bmatrix} -20 & -15 \end{bmatrix}$"", ""B"": ""$\begin{bmatrix} -10 \\ -25 \end{bmatrix}$"", ""C"": ""$\begin{bmatrix} 1 & 7 \\ 5 & 0 \end{bmatrix}$"", ""D"": ""$\begin{bmatrix} -20 & 10 \\ 0 & -25 \end{bmatrix}$"" }",J,$\begin{bmatrix} -20 & 10 \\ 0 & -25 \end{bmatrix}$,, act_mat_39,act,maths,number_quantity,Lavonne purchased some tickets and snack vouchers for an upcoming event and gave them to the members of her work group. Each member of her work group received the same number of tickets and the same number of snack vouchers.,"The total number of tickets she gave to her group was 30, and the total number of snack vouchers was 75. Which of the following could be the number of members in Lavonne's work group?","{ ""A"": ""10"", ""B"": ""15"", ""C"": ""25"", ""D"": ""30"" }",B,15,, act_mat_40,act,maths,algebra,"The initial speed, in miles per hour, of a certain car that skids to a stop can be estimated by multiplying the length of the skid, in feet, by 35 and then taking the square root of the product.","According to this method, what is the estimated initial speed, in miles per hour, of the car when it makes a 108-foot skid?","{ ""A"": ""$\sqrt{143}$"", ""B"": ""$7\sqrt{105}$"", ""C"": ""$6\sqrt{105}$"", ""D"": ""$210\sqrt{3}$"" }",H,$6\sqrt{105}$,, act_mat_41,act,maths,algebra,,"If$6y = 5x - 1$, then$x =$?","{ ""A"": ""$\frac{6}{5}y - 1$"", ""B"": ""$\frac{6}{5}y + 1$"", ""C"": ""$\frac{6y - 1}{5}$"", ""D"": ""$\frac{6y + 1}{5}$"" }",D,$\frac{6y + 1}{5}$,, act_mat_42,act,maths,number_quantity,A boat is traveling at a speed of 30 miles per hour.,"What is the boat's speed in feet per second? (Note: 1 mile = 5,280 feet)","{ ""A"": ""20"", ""B"": ""30"", ""C"": ""44"", ""D"": ""176"" }",H,44,, act_mat_43,act,maths,functions,"An object is launched vertically at 30 meters per second from a 55-meter-tall platform. The height,$h(t)$meters, of the object$t$seconds after launch is modeled by$h(t) = -4.9t^2 + 30t + 55$.","What will be the height, in meters, of the object 3 seconds after launch?","{ ""A"": ""44.1"", ""B"": ""100.9"", ""C"": ""145"", ""D"": ""189.1"" }",B,100.9,, act_mat_44,act,maths,statistics_probability,The whole numbers 1 through 30 were each written on separate pieces of paper. Those 30 pieces of paper were put into a jar. One piece of paper will be randomly drawn from this jar.,What is the probability that this piece of paper will have a prime number written on it?,"{ ""A"": ""$\frac{1}{30}$"", ""B"": ""$\frac{1}{20}$"", ""C"": ""$\frac{1}{10}$"", ""D"": ""$\frac{10}{30}$"" }",J,$\frac{10}{30}$,, act_mat_45,act,maths,geometry,"For an angle with measure$\alpha$in a right triangle,$\sin \alpha = \frac{5}{13}$and$\tan \alpha = \frac{5}{12}$.",What is the value of$\cos \alpha$?,"{ ""A"": ""$\frac{12}{13}$"", ""B"": ""$\frac{12}{\sqrt{194}}$"", ""C"": ""$\frac{12}{\sqrt{119}}$"", ""D"": ""$\frac{13}{12}$"" }",A,$\frac{12}{13}$,, act_mat_46,act,maths,algebra,,"Which of the following values, if any, is the y-value of the solution set to the system of equations below?$$\begin{aligned}2x - y &= 7 \\ -4x + 2y &= 2\end{aligned}$$","{ ""A"": ""2"", ""B"": ""5"", ""C"": ""9"", ""D"": ""There is no such value for y."" }",J,There is no such value for y.,, act_mat_47,act,maths,algebra,,Which of the following expressions is equivalent to$(y + 7)^3$?,"{ ""A"": ""$y^3 + 21y^2 + 147y + 343$"", ""B"": ""$y^3 + 14y + 343$"", ""C"": ""$y^3 + 14y + 49$"", ""D"": ""$y^3 + 343$"" }",A,$y^3 + 21y^2 + 147y + 343$,, act_mat_48,act,maths,number_quantity,"The sum of 3 positive integers is 180, and the ratio of the integers is 5:3:2.",What is the value of the smallest of the integers?,"{ ""A"": ""18"", ""B"": ""36"", ""C"": ""54"", ""D"": ""90"" }",G,36,, act_mat_49,act,maths,algebra,,Which of the following expressions is equivalent to$(x^2 - y^2) - (6x^2 + 4xy - y^2)$?,"{ ""A"": ""$-5x^2 - 4xy$"", ""B"": ""$-5x^2 + 4xy - 2y^2$"", ""C"": ""$7x^2 + 4xy - 2y^2$"", ""D"": ""$7x^2 + 4xy + 2y^2$"" }",A,$-5x^2 - 4xy$,, act_mat_50,act,maths,number_quantity,"Given$i = \sqrt{-1}$,",what is$\sqrt{9} + \sqrt{-16}$?,"{ ""A"": ""$7i$"", ""B"": ""$i\sqrt{7}$"", ""C"": ""$3 - 4i$"", ""D"": ""$3 + 4i$"" }",J,$3 + 4i$,, act_mat_51,act,maths,algebra,"The first 5 terms of an arithmetic sequence are 7, 21, 35, 49, and 63. Let$t_n$represent the$n$th term of the sequence.",What is the value of$t_{25}$?,"{ ""A"": ""175"", ""B"": ""343"", ""C"": ""357"", ""D"": ""371"" }",B,343,, act_mat_52,act,maths,geometry,"At a certain time of day, a flagpole casts a 9.0-foot-long shadow and a nearby 4.0-foot-tall fence post casts a 2.4-foot-long shadow. Given that both the flagpole and the fence post are vertical and on level ground,","what is the height, in feet, of the flagpole?","{ ""A"": ""5.4"", ""B"": ""10.6"", ""C"": ""15.0"", ""D"": ""15.4"" }",H,15.0,, act_mat_53,act,maths,number_quantity,"In a particular cleaning solution, the ratio of concentrated solution to water is 3:40.",How many cups of concentrated solution should be added to 5 gallons of water to make the cleaning solution in the given ratio? (Note: 4 cups = 1 quart; 4 quarts = 1 gallon),"{ ""A"": ""12"", ""B"": ""6"", ""C"": ""$1\frac{1}{2}$"", ""D"": ""$\frac{3}{8}$"" }",G,6,, act_mat_54,act,maths,functions,Let$f(t) = 7e^{3t} + 1$.,Which of the following numbers is closest to the value of$f(5)$?,"{ ""A"": ""$-2 \times 10^{-1}$"", ""B"": ""$3 \times 10^{2}$"", ""C"": ""$2 \times 10^{7}$"", ""D"": ""$6 \times 10^{7}$"" }",C,$2 \times 10^{7}$,, act_mat_55,act,maths,geometry,,Which of the following expresses$40^\circ$in radians?,"{ ""A"": ""$\frac{2}{9\pi}$"", ""B"": ""$\frac{2\pi}{9}$"", ""C"": ""$\frac{9\pi}{2}$"", ""D"": ""$\frac{7,200}{\pi}$"" }",G,$\frac{2\pi}{9}$,, act_mat_56,act,maths,functions,"Let the function$f$be defined as$f(x) = -9x^2$. In the standard$(x,y)$coordinate plane, the graph of$y=f(x)$undergoes a transformation such that the result is the graph of$y=f(x)-4$.",Under this transformation the graph of$y=f(x)$is:,"{ ""A"": ""shifted downward 4 coordinate units."", ""B"": ""shifted left 4 coordinate units."", ""C"": ""stretched horizontally by a factor of 4."", ""D"": ""stretched vertically by a factor of 4."" }",A,shifted downward 4 coordinate units.,, act_mat_57,act,maths,algebra,"For all positive values of$a$,$b$,$c$, and$d$, when$\frac{1}{2}ab^2 + c = d$,",which of the following expressions is equal to$b$?,"{ ""A"": ""$\sqrt{2}{}{\frac{a(d-c)}{2}}$"", ""B"": ""$\sqrt{2}{}{\frac{2(d-c)}{a}}$"", ""C"": ""$\sqrt{2}{}{\frac{2d-c}{a}}$"", ""D"": ""$\sqrt{2}{}{\frac{d-c}{2a}}$"" }",G,$\sqrt{2}{}{\frac{2(d-c)}{a}}$,, act_mat_58,act,maths,number_quantity,"Tanya earns $34,000 in her 1st year at a job. She is given a raise of the same dollar amount each year, resulting in her earning $38,080 in the 4th year at the job.",What is the total of Tanya's earnings during her 4 years at the job?,"{ ""A"": ""$136,000"", ""B"": ""$140,080"", ""C"": ""$144,160"", ""D"": ""$152,320"" }",C,"$144,160",, act_mat_59,act,maths,geometry,"In the standard$(x,y)$coordinate plane,",how many points are both 5 coordinate units from the origin and also 2 coordinate units from the line$y = 0$?,"{ ""A"": ""0"", ""B"": ""1"", ""C"": ""2"", ""D"": ""4"" }",J,4,, act_mat_60,act,maths,geometry,"In$\triangle ABC$, if the measure of$\angle A$is less than the measure of$\angle B$, and the measure of$\angle B$is less than the measure of$\angle C$,","what is the correct ordering of the side lengths, from least to greatest?","{ ""A"": ""$AB < BC < AC$"", ""B"": ""$AB < AC < BC$"", ""C"": ""$BC < AC < AB$"", ""D"": ""$BC < AB < AC$"" }",C,$BC < AC < AB$,, act_mat_61,act,maths,number_quantity,"Lajuan sells exactly 4 kinds of pies in his bakery: apple, pecan, coconut cream, and peach. Of the pies he sold on Thursday,$\frac{1}{4}$were apple,$\frac{1}{2}$were pecan, 24 were coconut cream, and 8 were peach.",How many total pies did Lajuan sell on Thursday?,"{ ""A"": ""40"", ""B"": ""42"", ""C"": ""56"", ""D"": ""128"" }",J,128,, act_mat_62,act,maths,geometry,"In a certain quadrilateral, 2 opposite angles each measure$(3x + 5)^\circ$. The other 2 opposite angles each measure$(x + 3)^\circ$.",What is the value of$x$?,"{ ""A"": ""1"", ""B"": ""9"", ""C"": ""43"", ""D"": ""88"" }",C,43,, act_mat_63,act,maths,number_quantity,"On the real number line,",how many integers are between$-\frac{65}{6}$and$\frac{75}{2}$?,"{ ""A"": ""8"", ""B"": ""28"", ""C"": ""48"", ""D"": ""140"" }",C,48,, act_mat_64,act,maths,statistics_probability,"During a particular experiment, 2 events, A and B, can each occur. Events A and B are mutually exclusive during this experiment.",Which of the following probabilities is 0?,"{ ""A"": ""$P(A)$"", ""B"": ""$P(B)$"", ""C"": ""$P(A \text{ or } B)$"", ""D"": ""$P(A \text{ and } B)$"" }",J,$P(A \text{ and } B)$,, act_mat_65,act,maths,algebra,The polynomial function defined by$p(x) = x^3 + x^2 - 8x - 12$has$(x - 3)$as one of its linear factors.,What are all and only the zeros of$p$?,"{ ""A"": ""-3 and -2"", ""B"": ""-3 and 2"", ""C"": ""-2 and 3"", ""D"": ""2 and 3"" }",C,-2 and 3,, act_mat_66,act,maths,number_quantity,"Given the equation$\sqrt[4]{x} = y$, where$y$is a real number,",what **must** be true of$x$?$x$is:,"{ ""A"": ""an even real number."", ""B"": ""a rational number."", ""C"": ""an integer."", ""D"": ""a nonnegative real number."" }",J,a nonnegative real number.,, act_mat_67,act,maths,number_quantity,"Given that$1 \le m \le 4$,$4 \le n \le 6$, and$8 \le p \le 10$,",what is the greatest possible value for$(\frac{m}{n})(\frac{1}{p})$?,"{ ""A"": ""$\frac{3}{20}$"", ""B"": ""$\frac{1}{15}$"", ""C"": ""$\frac{1}{10}$"", ""D"": ""$\frac{1}{8}$"" }",D,$\frac{1}{8}$,, act_mat_68,act,maths,statistics_probability,,Which of the following datasets has the largest standard deviation?,"{ ""A"": ""0, 0, 10, 10"", ""B"": ""0, 1, 9, 10"", ""C"": ""2, 3, 5, 7"", ""D"": ""5, 5, 5, 5"" }",F,"0, 0, 10, 10",, act_mat_69,act,maths,statistics_probability,"Each time Coin C is tossed, it lands faceup or facedown. The probability of landing faceup is 3 times the probability of landing facedown. In a certain game, the player wins $1.00 when Coin C lands faceup and the player wins $2.00 when Coin C lands facedown.","To the nearest cent, what is the expected value of each toss of Coin C in this game?","{ ""A"": ""$1.25"", ""B"": ""$1.33"", ""C"": ""$1.50"", ""D"": ""$1.67"" }",A,$1.25,,