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

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1 SAT Practice Test # IMPORTAT REMIDERS A o. 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 OT BE TAKE FROM THE ROOM. UAUTHORIZED REPRODUCTIO OR USE OF AY 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 o Calculator MIUTES, QUESTIOS 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 COTIUE

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. COTIUE

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 =, +, r +, Te formula above gives te montly payment m needed to pay off a loan of P dollars at r percent annual interest over monts. Wic of te following gives P in terms of m, r, and? r r A) P =, +, r +, B) r +, P = r r +,, r C) P = m, D) P =, m r m m P COTIUE

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) (, ) COTIUE

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 COTIUE

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.. o 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 DIRECTIOS OTE: You may start your answers in any column, space permitting. Columns you don t need to use sould be left blank. COTIUE

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.

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