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Ivy GlobalMath: Passport to Advanced MathPractice for the New SAT (2016)
Ivy GlobalProblem Set 3: 10 QuestionsMath: Passport to Advanced MathQuestions 1-2 refer to the following information.2.Another skateboarder travels from side A toside B along the same cement half cylinder.The following equation gives her speed, s, as afunction of time in seconds, t:()If her speed is 6 feet per second, for how manyseconds could she have been skating?A skateboarder travels along a cement half cylinder, asshown above. He starts from a complete stop at side A,and comes to another complete stop at side B. His speedwhile skating can be approximated by a quadraticfunction.3.Which expression is equivalent to 1.(A)(B)(C)(D)The skateboarder travels from side A to side Bin 2.5 seconds and reaches a maximum speedof 10 feet per second. Which equation bestrepresents the skateboarder’s speed, s, as afunction of time in seconds, t, during this 2.5second interval?()()()()?(A)(B)(C) (D)4.If,, and, what is the value of ?
Ivy Global((A)(B)(C)(D)5.2561-6If, what is the greatestpossible value for the x-intercept?(A)(B)(C)(D)6.)-5-404For what values of x is ( )( )?(A)(B)(C)(D)Ifequal to-1 and 00 and 11 and 22 and 3, what is the value of9.?(A)(B)(C)(D)8.14814Based on the equations above, which of thefollowing expressions is equivalent to ?(A)(B)(C)(D)7.If ( )and ( )is ( ( ))? , what10. The following equation represents the numberof wooden blocks, b, that a company canproduce per minute using wooden boards, w:
Ivy Global13. How many possible solutions exist for theequation above?It costs the company 1 to purchase eachboard, and the company sells its blocks for 7each. How many blocks should the companymake per minute make in order to maximize itsprofit? (Profit is equal to total sales minus totalcosts.)(A) 0(B) 1(C) 2(D) Infinitely many14. The equationcould berepresented by which of the following graphsbelow?11. The population of mosquitoes in Gainesvillechanges according to the formula(), where m represents thenumber of mosquitoes, in thousands, and trepresents the number of months since themosquitoes have spawned. If mosquitoesspawn in the middle of May, during whichmonth does Gainesville’s mosquito populationdrop to 10-5-100-20012. A factory’s output of widgets, w, from units ofmetal, m, is expressed by the function ( )(). The factory then uses itswidgets, w, to create gears, g, according to thefunction ( )().-300(B)8060How many gears can the factory make with 3units of metal?40200-20()(C)-10-20
Ivy Global43210-5-1 0-2-3(D)-45
Ivy GlobalSummary14 Questions0 Easy, 7 Medium, 7 HardEstimated Time: 35 minutesAnswersAnswersDifficultyTopic1) BHard,MultipartCreate a quadratic function.2) 4 or 12Hard,MultipartDetermine the most suitable formof an equation to reveal aparticular trait.3) AMediumCreate equivalent expressionsinvolving rational exponents andradicals.4) DHardCreate an equivalent form of analgebraic expression.Other TopicsSolve quadratic equations.Rewrite simple rationalexpressions.5) DMediumSolve a quadratic equation havingrational coefficients.6) DMediumPerform arithmetic operations onpolynomials.7) 0.25MediumSolve an equation in one variablethat contains radicals.8) BMediumSolve a system of one linearequation and one quadraticequation.Solve quadratic equations.
Ivy Global9) CHardRewrite simple rationalexpressions.10) 2HardInterpret parts of nonlinearexpressions in terms of theircontext.11) DMediumUse properties of factorablepolynomials to solve conceptualproblems relating to zeros.12) 3MediumUse function notation, andinterpret statements usingfunction notation.13) BHardRearrange an equation to isolatea single variable of interest.14) AHardSelect a graph corresponding to agiven nonlinear equation.
Math: Passport to Advanced Math Questions 1-2 refer to the following information. A skateboarder travels along a cement half cylinder, as shown above. He starts from a complete stop at side A, and comes to another complete stop at side B. His speed whil
