SAT Practice Test 2 Math No Calculator - Unlimited Learning

33Math Test – No Calculator25 M I NU TES, 2 0 QUESTIONSTurn to Section 3 of your answer sheet to answer the questions in this section.For questions 1-15, solve each problem, choose the best answer from the choicesprovided, and fill in the corresponding circle on your answer sheet. For questions 16-20,solve the problem and enter your answer in the grid on the answer sheet. Please refer tothe directions before question 16 on how to enter your answers in the grid. You may useany available space in your test booklet for scratch work.1. The use of a calculator is not permitted.2. All variables and expressions used represent real numbers unless otherwise indicated.3. Figures provided in this test are drawn to scale unless otherwise indicated.4. All figures lie in a plane unless otherwise indicated.5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x forwhich f(x) is a real number. rwA pr 2C 2prrwV whac 2 a2 b 2rh2xcbb1A bh2A wh h4V pr 33xs 45 s 230 45 sx 3Special Right TriangleshhrV pr 2h60 1V pr 2h3 V 1 wh3The number of degrees of arc in a circle is 360.The number of radians of arc in a circle is 2p.The sum of the measures in degrees of the angles of a triangle is 180.Unauthorized copying or reuse of any part of this page is illegal.32wCO NTI N U E

33If 5x 6 10 , what is the value of 10x 3 ?A)4B)9C) 11D) 202x y 03x 2y 10Which of the following ordered pairs (x, y ) satisfiesthe system of equations above?A) (3, 2)B) (2, 2)C) ( 2, 2)D) ( 2, 2)Unauthorized copying or reuse of any part of this page is illegal.1333A landscaping company estimates the price of a job,in dollars, using the expression 60 12nh , where nis the number of landscapers who will be workingand h is the total number of hours the job will takeusing n landscapers. Which of the following is thebest interpretation of the number 12 in theexpression?A) The company charges 12 per hour for eachlandscaper.B) A minimum of 12 landscapers will work oneach job.C) The price of every job increases by 12 every hour.D) Each landscaper works 12 hours a day.49a4 12a2b 2 4b4Which of the following is equivalent to theexpression shown above?2A) (3a2 2b 2)B) (3a 2b)42C) (9a2 4b 2)D) (9a 4b)4CO NTI N U E

332k 2 17 x 0If k 0 and x 7 in the equation above, what is thevalue of k ?A) 2B) 3C) 4D) 56y (0, 2)(– 5, 0)Ok( p, 0)(0, – 4)In the xy-plane above, line A is parallel to line k.What is the value of p ?A)4B)5C)8D) 10Unauthorized copying or reuse of any part of this page is illegal.x.5347Ifxax2b2 x16 , x 1, and a b 2, what is the valueof a b ?A)8B) 14C) 16D) 188nA 360The measure A, in degrees, of an exterior angle of aregular polygon is related to the number of sides, n,of the polygon by the formula above. If the measureof an exterior angle of a regular polygon is greaterthan 50 , what is the greatest number of sides itcan have?A) 5B) 6C) 7D) 8CO NTI N U E

3The graph of a line in the xy-plane has slope 2 andcontains the point (1, 8). The graph of a second linepasses through the points (1, 2) and (2, 1). If thetwo lines intersect at the point (a, b), what is thevalue of a b ?A)4B)3C) 1D) 410Which of the following equations has a graph in thexy-plane for which y is always greater than or equalto 1 ?A) y x 2B) y x 2 2C) y (x 2)2D) y x 3 2Unauthorized copying or reuse of any part of this page is illegal.933511Which of the following complex numbers isequivalent toA)3 5i 8 2B)3 5i 8 2C)723i 34 34D)723i 34 343 5i? (Note: i 1 )8 2i12FN FA website uses the formula above to calculate aseller’s rating, R, based on the number of favorablereviews, F, and unfavorable reviews, N. Which ofthe following expresses the number of favorablereviews in terms of the other variables?R A) F RNR 1B) F RN1 RC) F N1 RD) F NR 1CO NTI N U E

3What is the sum of all values of m that satisfy2m2 16m 8 0 ?A) 8B) 4 3C) 4 3D) 814A radioactive substance decays at an annual rate of13 percent. If the initial amount of the substance is325 grams, which of the following functions fmodels the remaining amount of the substance, ingrams, t years later?A) f (t ) 325(0.87)tB) f (t ) 325(0.13)tC) f (t ) 0.87(325)tD) f (t ) 0.13(325)tUnauthorized copying or reuse of any part of this page is illegal.1333615The expression5x 2is equivalent to which of thex 3following?A)5 23B) 5 23C) 5 2x 3D) 5 17x 3CO NTI N U E

337Answer: 12DIRECTIONSFor questions 16–20, solve the problem andenter your answer in the grid, as describedbelow, on the answer sheet.1. Although not required, it is suggested thatyou write your answer in the boxes at the topof the columns to help you fill in the circlesaccurately. You will receive credit only if thecircles are filled in correctly.2. Mark no more than one circle in any column.3. No question has a negative answer.4. Some problems may have more than onecorrect answer. In such cases, grid only oneanswer.Writeanswerin boxes.7 / 12.123456789Grid inresult.2as 3.5 or 7/2. (If 3 1 / 2 is entered into the2 / 3/2 . 5.123456789/ /. . .0 0 01 1 12 2 23 3 34 4 45 5 56 6 67 7 78 8 89 9 9. 666Decimalpoint. 667/ // /. . . . . . .0 0 00 0 01 1 1 11 1 1 112 2 2 22 2 2 223 3 3 33 3 3 334 4 4 44 4 4 445 5 5 55 5 5 556 6 6 666 6 6 67 7 7 777 7 7 78 8 8 888 8 8 89 9 9 99 9 9 99Answer: 201 – either position is correctgrid, it will be interpreted as 31 , not 3 1 .)226. Decimal answers: If you obtain a decimalanswer with more digits than the grid canaccommodate, it may be either rounded ortruncated, but it must fill the entire grid.201/ /. . .0 0 01 1 1 12 2 2 23 3 3 3.Unauthorized copying or reuse of any part of this page is illegal.Fractionline2Acceptable ways to grid 3 are:5. Mixed numbers such as 3 1 must be gridded// /. . .0 0 01 1 12 2 23 3 34 4 45 5 56 6 67 7 78 8 89 9 9Answer: 2.537201/ /. . .0 0 01 1 1 12 2 2 23 3 3 3./ /. . .0 0 01 1 12 2 23 3 34 4 45 5 56 6 67 7 78 8 89 9 9NOTE: Youmay start youranswers in anycolumn, spacepermitting.Columns youdon’t need touse should beleft blank.CO NTI N U E

33The sales manager of a company awarded a total of 3000 in bonuses to the most productive salespeople.The bonuses were awarded in amounts of 250 or 750. If at least one 250 bonus and at least one 750bonus were awarded, what is one possible number of 250 bonuses awarded?172x(3x 5) 3(3x 5) ax 2 bx cIn the equation above, a, b, and c are constants. Ifthe equation is true for all values of x, what is thevalue of b ?Unauthorized copying or reuse of any part of this page is illegal.163818CD5B10A8EIn the figure above, AE & CD and segment ADintersects segment CE at B. What is the length ofsegment CE ?CO NTI N U E

33yA ( 3, 1)OBxIn the xy-plane above, O is the center of the circle,πand the measure of AOB isradians. What isathe value of a ?.1920ax by 122x 8y 60In the system of equations above, a and b areconstants. If the system has infinitely manysolutions, what is the value ofa?bSTOPIf you finish before time is called, you may check your work on this section only.Do not turn to any other section.Unauthorized copying or reuse of any part of this page is illegal.39

SAT Practice Test #2 SAT Suite of Assessments – The College Board Author: The College Board Subject: Simulate test day by printing and taking the official redesigned SAT practice test provided here as a PDF. After you've finished, use the answer explanation PDF to check your answers