SAT Practice Test #1 IMPORTANT REMINDERS. A No. 2 pencil is required for the test. Do not use a mechanical pencil or pen.

Transcription

1 SAT Practice Test # IMPORTANT REMINDERS A No. pencil is required for te test. Do not use a mecanical pencil or pen. Saring any questions wit anyone is a violation of Test Security and Fairness policies and may result in your scores being canceled. Tis cover is representative of wat you ll see on test day. THIS TEST BOOK MUST NOT BE TAKEN FROM THE ROOM. UNAUTHORIZED REPRODUCTION OR USE OF ANY PART OF THIS TEST BOOK IS PROHIBITED. Te College Board. College Board, SAT, and te acorn logo are registered trademarks of te College Board.

2 Mat Test No Calculator MINUTES, QUESTIONS Turn to Section of your answer seet to answer te questions in tis section. For questions -, solve eac problem, coose te best answer from te coices provided, and fill in te corresponding circle on your answer seet. For questions -, solve te problem and enter your answer in te grid on te answer seet. Please refer to te directions before question on ow to enter your answers in te grid. You may use any available space in your test booklet for scratc work.. Te use of a calculator is not permitted.. All variables and expressions used represent real numbers unless oterwise indicated.. Figures provided in tis test are drawn to scale unless oterwise indicated.. All figures lie in a plane unless oterwise indicated.. Unless oterwise indicated, te domain of a given function f is te set of all real numbers x for wic f(x) is a real number. r A = pr C = pr l A = lw w b A = b b c a c = a + b x s s x x s Special Rigt Triangles l V = lw w r V = pr r V = pr Te number of degrees of arc in a circle is. Te number of radians of arc in a circle is p. Te sum of te measures in degrees of te angles of a triangle is. r V = pr w l V = lw

3 If x = k and k =, wat is te value of x? A) B) C) D) For i =, wat is te sum ( + i) + ( + i)? A) + i B) i C) + i D) i... On Saturday afternoon, Armand sent m text messages eac our for ours, and Tyrone sent p text messages eac our for ours. Wic of te following represents te total number of messages sent by Armand and Tyrone on Saturday afternoon? A) mp B) mp C) m+p D) m+p Katy is a repair tecnician for a pone company. Eac week, se receives a batc of pones tat need repairs. Te number of pones tat se as left to fix at te end of eac day can be estimated wit te equation P = d, were P is te number of pones left and d is te number of days se as worked tat week. Wat is te meaning of te value in tis equation? A) Katy will complete te repairs witin days. B) Katy starts eac week wit pones to fix. C) Katy repairs pones at a rate of per our. D) Katy repairs pones at a rate of per day.

4 ( x y y + xy ) ( x y +xy y ) Wic of te following is equivalent to te expression above? A) x y B) xy y C) x y +xy D) x y +xy y = a+. A pediatrician uses te model above to estimate te eigt of a boy, in inces, in terms of te boy s age a, in years, between te ages of and. Based on te model, wat is te estimated increase, in inces, of a boy s eigt eac year? A) B). C). D).... r r m =, +, N r +, Te formula above gives te montly payment m needed to pay off a loan of P dollars at r percent annual interest over N monts. Wic of te following gives P in terms of m, r, and N? r r A) P =, +, N r +, B) N r +, P = r r +,, r C) P = m, D) P =, m r N N m m N P

5 If a b =, wat is te value of b A) B) C) D) a x + y = y x = Wat is te solution (, x y)to te system of equations above? A) (, ) B) (, ) C) (, ) D) (, )? g( x) = ax + For te function g defined above, a is a constant and g() =. Wat is te value of g( )? A) B) C) D)... b =. +.x c =. +.x In te equations above, b and c represent te price per pound, in dollars, of beef and cicken, respectively, x weeks after July during last summer. Wat was te price per pound of beef wen it was equal to te price per pound of cicken? A) $. B) $. C) $. D) $. A line in te xy-plane passes troug te origin and as a slope of. Wic of te following points lies on te line? A) (, ) B) (, ) C) (, ) D) (, )

6 If x >, wic of te following is equivalent to A) B) x+ + x+ x x x + C) x + + x+ + x+ x + D) x + x+ If x y =, wat is te value of A) B) C)? x y? D) Te value cannot be determined from te information given.... If ( ax +)( bx +) = x + cx + for all values of x, and a+ b =, wat are te two possible values for c? A) and B) and C) and D) and

7 Grid in result. Fraction line Write answer in boxes. For questions, solve te problem and enter your answer in te grid, as described below, on te answer seet.. Altoug not required, it is suggested tat you write your answer in te boxes at te top of te columns to elp you fill in te circles accurately. You will receive credit only if te circles are filled in correctly.. Mark no more tan one circle in any column.. No question as a negative answer.. Some problems may ave more tan one correct answer. In suc cases, grid only one answer.. Mixed numbers suc as must be gridded as. or. (If is entered into te grid, it will be interpreted as, not.). Decimal answers: If you obtain a decimal answer wit more digits tan te grid can accommodate, it may be eiter rounded or truncated, but it must fill te entire grid. Answer: Acceptable ways to grid are: Decimal point Answer:.... Answer: eiter position is correct DIRECTIONS NOTE: You may start your answers in any column, space permitting. Columns you don t need to use sould be left blank.

8 If t > and t =, wat is te value of t? x feet A E A summer camp counselor wants to find a lengt, x, in feet, across a lake as represented in te sketc above. Te lengts represented by AB, EB, BD, and CD on te sketc were determined to be feet, feet, feet, and feet, respectively. Segments AC and DE intersect at B, and AEB and CDB ave te same measure. Wat is te value of x? B D C... x + y = x + y = According to te system of equations above, wat is te value of x? In a rigt triangle, one angle measures x, were sin x =. Wat is cos( x )? If a = and a = x, wat is te value of x? STOP If you finis before time is called, you may ceck your work on tis section only. Do not turn to any oter section.

9 Mat Test Calculator MINUTES, QUESTIONS Turn to Section of your answer seet to answer te questions in tis section. For questions -, solve eac problem, coose te best answer from te coices provided, and fill in te corresponding circle on your answer seet. For questions -, solve te problem and enter your answer in te grid on te answer seet. Please refer to te directions before question on ow to enter your answers in te grid. You may use any available space in your test booklet for scratc work.. Te use of a calculator is permitted.. All variables and expressions used represent real numbers unless oterwise indicated.. Figures provided in tis test are drawn to scale unless oterwise indicated.. All figures lie in a plane unless oterwise indicated.. Unless oterwise indicated, te domain of a given function f is te set of all real numbers x for wic f(x) is a real number. r A = pr C = pr l A = lw w b A = b b c a c = a + b x s s x x s Special Rigt Triangles l V = lw w r V = pr r V = pr Te number of degrees of arc in a circle is. Te number of radians of arc in a circle is p. Te sum of te measures in degrees of te angles of a triangle is. r V = pr w l V = lw

10 Wic of te following graps best sows a strong negative association between d and t? A) t B) C) D) t t t d d d d... decagram = grams, milligrams = gram A ospital stores one type of medicine in -decagram containers. Based on te information given in te box above, ow many -milligram doses are tere in one -decagram container? A). B) C), D),

11 Rooftop Solar Panel Installations in Five Cities A B C City Te number of rooftops wit solar panel installations in cities is sown in te grap above. If te total number of installations is,, wat is an appropriate label for te vertical axis of te grap? A) Number of installations (in tens) B) Number of installations (in undreds) C) Number of installations (in tousands) D) Number of installations (in tens of tousands) D E... For wat value of n is n + equal to? A) B) C) D) Tere is no suc value of n.

12 Questions and refer to te following information. a =, +.t Te speed of a sound wave in air depends on te air temperature. Te formula above sows te relationsip between a, te speed of a sound wave, in feet per second, and t, te air temperature, in degrees Fareneit ( F). Wic of te following expresses te air temperature in terms of te speed of a sound wave? A) t B) t C) t a =,. a = +,. =, a.. D) t = a +, At wic of te following air temperatures will te speed of a sound wave be closest to, feet per second? A) F B) F C) F D) F... Wic of te following numbers is NOT a solution of te inequality x x? A) B) C) D) Number of apples Number of Seeds in Eac of Apples Number of seeds Based on te istogram above, of te following, wic is closest to te average (aritmetic mean) number of seeds per apple? A) B) C) D)

13 Gender Female Male Total Algebra I Course Geometry Algebra II Total A group of tent-grade students responded to a survey tat asked wic mat course tey were currently enrolled in. Te survey data were broken down as sown in te table above. Wic of te following categories accounts for approximately percent of all te survey respondents? A) Females taking Geometry B) Females taking Algebra II C) Males taking Geometry D) Males taking Algebra I Lengts of Fis (in inces) Te table above lists te lengts, to te nearest inc, of a random sample of brown bullead fis. Te outlier measurement of inces is an error. Of te mean, median, and range of te values listed, wic will cange te most if te -inc measurement is removed from te data? A) Mean B) Median C) Range D) Tey will all cange by te same amount....

14 Questions and refer to te following information. Total cost (dollars) Total Cost of Renting C a Boat by te Hour Time (ours) Te grap above displays te total cost C, in dollars, of renting a boat for ours. Wat does te C-intercept represent in te grap? A) Te initial cost of renting te boat B) Te total number of boats rented C) Te total number of ours te boat is rented D) Te increase in cost to rent te boat for eac additional our... Wic of te following represents te relationsip between and C? A) C = B) C = + C) C = + D) =C O y y = f(x) Te complete grap of te function f is sown in te xy-plane above. For wat value of x is te value of fx ( ) at its minimum? A) B) C) D) x

15 Wic of te following is an equation of a circle in te xy-plane wit center (, ) and a radius wit endpoint,? A) x +( y ) = B) x +( y+) = C) x +( y ) = D) x +( y+) = =. t + t Te equation above expresses te approximate eigt, in meters, of a ball t seconds after it is launced vertically upward from te ground wit an initial velocity of meters per second. After approximately ow many seconds will te ball it te ground? A). B). C). D).... Katarina is a botanist studying te production of pears by two types of pear trees. Se noticed tat Type A trees produced percent more pears tan Type B trees did. Based on Katarina s observation, if te Type A trees produced pears, ow many pears did te Type B trees produce? A) B) C) D) A square field measures meters by meters. Ten students eac mark off a randomly selected region of te field; eac region is square and as side lengts of meter, and no two regions overlap. Te students count te eartworms contained in te soil to a dept of centimeters beneat te ground s surface in eac region. Te results are sown in te table below. Region Number of eartworms Region Number of eartworms A F B G C H D I E J Wic of te following is a reasonable approximation of te number of eartworms to a dept of centimeters beneat te ground s surface in te entire field? A) B), C), D),

16 Grid in result. Fraction line Write answer in boxes. F o r q u e s t i o n s, solve te problem and enter your answer in te grid, as described below, on te answer seet.. Altoug not required, it is suggested tat you write your answer in te boxes at te top of te columns to elp you fill in te circles accurately. You will receive credit only if te circles are filled in correctly.. Mark no more tan one circle in any column.. No question as a negative answer.. Some problems may ave more tan one correct answer. In suc cases, grid only one answer.. Mixed numbers suc as must be gridded as. or. (If is entered into te grid, it will be interpreted as, not.). Decimal answers: If you obtain a decimal answer wit more digits tan te grid can accommodate, it may be eiter rounded or truncated, but it must fill te entire grid. Answer: Acceptable ways to grid are: Decimal point Answer:.... Answer: eiter position is correct DIRECTIONS NOTE: You may start your answers in any column, space permitting. Columns you don t need to use sould be left blank.

17 Wyatt can usk at least dozen ears of corn per our and at most dozen ears of corn per our. Based on tis information, wat is a possible amount of time, in ours, tat it could take Wyatt to usk dozen ears of corn? Te posted weigt limit for a covered wooden bridge in Pennsylvania is pounds. A delivery truck tat is carrying x identical boxes eac weiging pounds will pass over te bridge. If te combined weigt of te empty delivery truck and its driver is pounds, wat is te maximum possible value for x tat will keep te combined weigt of te truck, driver, and boxes below te bridge s posted weigt limit?... Number sold (millions) Number of Portable Media Players Sold Worldwide Eac Year from to Year According to te line grap above, te number of portable media players sold in is wat fraction of te number sold in? A local television station sells time slots for programs in -minute intervals. If te station operates ours per day, every day of te week, wat is te total number of -minute time slots te station can sell for Tuesday and Wednesday?

18 yards A dairy farmer uses a storage silo tat is in te sape of te rigt circular cylinder above. If te volume of te silo is π cubic yards, wat is te diameter of te base of te cylinder, in yards? x ( ) = ( x ) +( x )+ For wat value of x is te function above undefined?... Questions and refer to te following information. Jessica opened a bank account tat earns percent interest compounded annually. Her initial deposit was $, and se uses te expression $( x) t to find te value of te account after t years. Wat is te value of x in te expression? Jessica s friend Tysaun found an account tat earns. percent interest compounded annually. Tysaun made an initial deposit of $ into tis account at te same time Jessica made a deposit of $ into er account. After years, ow muc more money will Tysaun s initial deposit ave earned tan Jessica s initial deposit? (Round your answer to te nearest cent and ignore te dollar sign wen gridding your response.) STOP If you finis before time is called, you may ceck your work on tis section only. Do not turn to any oter section.