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M Unapproved reproduction or distributionof any portion of this material is unlawful. MSAT Math Practice Test (Calculator)Time – 55 minutes37 QuestionsDownload and print an answer sheet available at ivyglobal.com/study.NotesDirections: For these questions, determine the solution to each problem presented and choose the best answer choices of thoseprovided. Be sure to fill in the respective circle on your answer sheet. Any free space may be used to work out any problems,should you need space for scratchwork.1.2.You may use a calculator on this section.When a problem includes a figure, the figure is meant to be a helpful resource for solving that problem. If a problemdoes not state that its figure is NOT to scale, you may assume the figure provides a correct representation of theinformation in the problem.The domain of any function f is the set of all real numbers x for which f(x) is a real number, unless otherwise stated.3.rReferencehabA cb12bha2 b2 c22x60 xx30 x 345 lx 2hw45 xhwlSpecial TrianglesA lwrV πr 2 hV lwhA πr 2C 2πrThere are 360 in a circle.The sum of the angles in a triangle is 180 .1.A biochemist is counting the number of cells in asample using a square grid. If he counts 15 cells inone square, which of the following is the bestestimate for the total number of cells in 𝑛 squares?(A)15n(B)15n(C)225n(D)15n22.Which graph could represent the functiony –2x 1?(A)(B)(C)(D)GO ON TO THE NEXT PAGEIvy GlobalMATH809

M 3.If f (x) MUnapproved reproduction or distributionof any portion of this material is unlawful.1000, what is f (10)?x 205.(A) –100(B) –102(C) –120(D) –1200There are 6 blue marbles, 3 yellow marbles, and 4 redmarbles in a jar. John randomly draws 2 marbleswithout replacing them. What is the probability thatboth of these marbles are blue?(A)(B)(C)(D)30169313526121310x – 2y 3 11y 5x – 46.y 0.75x 104.In the equation above, what is the value of x if y isequal to 10?(A)0(B) 7.5(C)10(D) 17.5Which of the following describes the solution set forthe system of equations above?(A)(B)(C)(D)There are zero solutions.There is one solution.There are two solutions.There are infinite solutions.GO ON TO THE NEXT PAGEIvy GlobalMATH810

M 7.Unapproved reproduction or distributionof any portion of this material is unlawful.If (x 20)2 (70 – x)2 , what is the value of 𝑥?(A) 5(B) 25(C) 45(D) 909. MWhich of the following is equal to (3x – 5)2 ?(A)(B)(C)(D)9x2 – 259x2 – 15x 259x2 – 30x – 259x2 – 30x 25Distance Travelled10. The element palladium has a density of 12 g/cm3.What is the volume in cubic centimeters of 2.4kilograms of palladium? (Density is equal to massdivided by volume.)Cumulative Distance (Miles)300200Driver 1100Driver 2(A)0.2 cm3(B) 28.8 cm3(C) 200 cm3(D) 2880 cm300510Time (Hours)8.The scatterplot above shows the cumulative distancestravelled by two truck drivers over a 10-hour period.What is the difference between the average speeds ofthe two drivers over this time period?(A)(B)(C)(D)10 miles per hour20 miles per hour30 miles per hour50 miles per hourGO ON TO THE NEXT PAGEIvy GlobalMATH811

M Unapproved reproduction or distributionof any portion of this material is unlawful.11. If 1.5x 2y 58 and x y 34, what is the valueof x?(A)(B)(C)(D)10203058 M13. If a7 ax (a2 )4 , what is the value of x?(A)–1(B)1(C)67(D)8712. A group of scientists in an observatory catch, tag, andthen release 50 butterflies. The next day, they catch100 butterflies and observe that 10 of them aretagged. Which of the following is the best estimatefor the total number of butterflies at the eAverage Speed70 km/hr1.5 cm/minTop Speed120 km/hr2.5 cm/min14. How many times faster is the top speed of a cheetahthan the top speed of a seahorse, according to thetable above?(A)48(B)800(C) 80,000(D) 480,000GO ON TO THE NEXT PAGEIvy GlobalMATH812

M Unapproved reproduction or distributionof any portion of this material is unlawful.2x x2 – 815. Which of the following could be a value for x in theequation above?(A) –4(B) 0(C) 2(D) 4 M17. A chemist has an experiment that requires a solutionmade of 80 μL of hydrochloric acid and 10 mg ofmagnesium oxide. If the chemist uses 300 mg ofmagnesium oxide, how many milliliters of thehydrochloric acid solution does she need?(1 L 1,000,000 μL).(A)2.4 mL(B)24 mL(C)240 mL(D) 2,400 mL16. What is the distance between the points (–2, 5) and(5, 12) in the 𝑥𝑦-plane?(A)7(B) 7 2(C) 58(D)1418. A car is travelling at an average speed of 50 miles perhour, and the distance from its starting point to itsdestination is 600 miles. Which function models theremaining distance, in miles, to be travelled after thours of travel?(A)(B)(C)(D)f (t) 12tf (t) 50tf (t) 600 50tf (t) 600 – 50tGO ON TO THE NEXT PAGEIvy GlobalMATH813

M MUnapproved reproduction or distributionof any portion of this material is unlawful.4y 3x – 519. Which of the following points in the xy-plane couldbe a solution to the inequality above?(A) (–1, –5)(B) (–1, –2)(C) (1, –2)(D)(3,2)21. What is the value of g(f (23))?(A)(B)20. Stacey’s recipe can bake 42 cookies with one gallonof milk. Milk costs 2.40 per gallon. How manycookies can Stacey bake with 10 worth of milk?(A)(B)(C)(D)f (x) 2x – 10xg (x) 13100 cookies125 cookies150 cookies175 cookies223263(C)12(D)13In FavorNot in 222. A random group of people were surveyed about theiropinion on building a new bridge in their city, and theresults are shown above. If there are a total of 700people in the city, which of the following is the bestestimate for the total number of people in the citywho would be in favor of building the new bridge?(A)(B)(C)(D)263350361467GO ON TO THE NEXT PAGEIvy GlobalMATH814

M Unapproved reproduction or distributionof any portion of this material is unlawful. Mx2 – y2 9Ax–y 123. In the system of equations above, what is the value ofx y?300 mm(A) 4(B) 8(C) 9(D) 1060 B25. What is the shortest distance between Points A and Bin the figure above?(A)5200 33m(B)100 3 m(C)200 3 m(D)400 myx5-5f (x) (x 7)(x – 2)2-526. For what values of x is f (x) positive?-1024. The function graphed above is defined by thefunction f (x) (x 2)(x – 2)(x a). What is thevalue of 𝑎?(A)(B)(C)(D)x –2x 7x –7, x 2x –7(A) –1(B) 0(C) 1(D) 2GO ON TO THE NEXT PAGEIvy GlobalMATH815

M Unapproved reproduction or distributionof any portion of this material is unlawful.Group AGroup BStandard Deviation2.03.0Number of Data Points50100 MQuestions 29 and 30 refer to the following information.Gross domestic product (GDP) is a measure of the value ofgoods and services produced in a year. GDP per capita is anarea’s GDP divided by its population.GDP of a City27. The standard deviation of two groups of data issummarized the table above. Which of the followingstatements is true?(A) Group A has a smaller standard deviation thanGroup B because there are fewer data points.(B) The difference in standard deviation betweenthe two groups is not statistically significant.(C) The data points of Group B are farther fromtheir mean on average than the data points ofGroup A.(D) Group B’s data points have a larger range thanGroup A’s data points.YearGDPGDP per capita1990 120 million 32,0002000 135 million 30,0002010 147 million 28,00029. According to the table above, what was the city’spopulation in the year 2000?(A)(B)(C)(D)3,000 people4,500 people22,222 people45,000 people28. If i2 –1, what is the value of (2i 2)(2i – 4)?(A)(B)(C)(D)30. What was the city’s percent increase in populationbetween 1990 and 2010?–12–4i – 12–8–4i – 8(A) 1.67%(B) 16.67%(C) 30.00%(D) 40.00%GO ON TO THE NEXT PAGEIvy GlobalMATH816

M Unapproved reproduction or distributionof any portion of this material is unlawful.GRID-INS33. If Mpq– 5 , what is the value of 4p – 3q?34y 3x 1031. If x 2, what is a positive value of y that satisfies theinequality above?34. Adam, Bella, Carlos, Diana, and Eric run a race. IfCarlos and Diana finish in the first two places andthere are no ties, what is the total number of possibleoutcomes of the race?32. Phone Plan A charges a flat rate of 20 per monthplus 40 cents per minute. Phone Plan B charges 10plus 50 cents per minute. If Tess uses the samenumber of minutes each month, she pays the sameamount of money on either plan. How many minutesdoes Tess use each month?GO ON TO THE NEXT PAGEIvy GlobalMATH817

M Unapproved reproduction or distributionof any portion of this material is unlawful.10 – (m – 2) 3(m 6) 48 MAnnual Income35. In the equation above, what is the value of m?Tax Rate 0 to 30,00010% 30,000 to 70,00014% 70,000 to 100,00020%Over 100,00025%37. Many countries use progressive tax systems forincome like the one summarized in the chart above.Using this chart, a person making 50,000 per yearwould be taxed at 10% for their first 30,000 and14% for their next 20,000.PART 1Liu makes 75,000 per year. According to theprogressive system in the chart above, how muchincome tax would Liu pay per year, in dollars?36. A farmer is creating a rectangular fenced-in pasturefor his cattle that is twice as long as it is wide.Fencing costs 4 per meter. If the whole fence costs 2,400, how many meters is the pasture’s longestside?PART 2In Kristof’s country, he pays a fixed tax of 14% onhis entire income. Kristof makes 80,000 per year.How much more yearly income tax would Kristofpay in his country than in a country that uses theprogressive system in the chart above?STOPIf you complete the problem set before time elapses, you may review your responses for this section.Do not view or begin working on any other sections.Ivy GlobalMATH818

M M Ivy Global MATH 811 Unapproved reproduction or distribution of any portion of this material is unlawful. GO ON TO THE NEXT PAGE