UNIVERSITY OF WISCONSIN SYSTEM MATHEMATICS …

1 Name _____UNIVERSITY OF WISCONSIN SYSTEMMATHEMATICSPRACTICE EXAM 2018 Check us out at our website: INSTRUCTIONS: You will have 90 minutes to complete the MATHEMATICS practice test. Work rapidly but carefully. Do not spend too much time on any one question. If you have time after you have finished the test, you may go back and review your answers. PLEASE NOTE that the use of a non-graphing calculator on this test is optional. No question on this test requires the use of a calculator. GRAPHING CALCULATORS ARE NOT ALLOWED. You may not share a calculator. When you take the official math Placement Test, your placement will be based on three math scores which will be used in combination to determine your optimal math placement. In order to get the most accurate assessment using this practice test, you should try to duplicate the actual testing situation as closely as possible. When taking the test, you should not use any additional materials or look up the answers to the ques-tions.

2 You should only allow yourself 90 minutes to take this test and should take the entire test in one sitting. If possible, take the test in a quiet room where you will not be interrupted. When you have completed the test, you should score your test using the answer key and scoring instructions provided on the last PRACTICE TEST FORM 20181.)2.)3.)4.)5.) 2(6 3) 2 =a) 24 d) 4b) 8 e) 16c) 8 =a) d) b) e) None of thesec) 0 + 15 75 + 3 71 + 3 75 + 15 351 + 15 7 The shaded region including the boundaryline is a graph ofa) x + y 0 d) x + y 1b) x + y 1 e) x + y 0c) x + y > 1yx = a) 2 d) 16b) 4 e) 32c) 824 2 23 5 (2x 3) 2 =a) 12x d) 4x 2 12x + 9b) 4x 2 + 9 e) 4x 2 6x + 9c) 4x 2 5x + 9 How many real numbers are solutions forx 2 5x + 7 = 0 ?a) none d) threeb) one e) more than threec) two6.)4 math PRACTICE TEST FORM 20187.

3 8.)10.)11.)In which triangle is the sum of themeasures of the angles the greatest? a) MNO d) XYZb) RST e) None of thesec) UVWMONRTSUWVXZYF ifteen ounces of concentrate is mixed with45 ounces of water to make 60 ounces oforange juice. What percent of the orangejuice is concentrate?a) 3 d) 30b) 4 e) 33c) 25139.)The distance between the points (x, y)and (2, 3) isa) (x 2 + y 2 ) (2 2 + 3 2 )b) |x 2| + |y 3|c) (x 2) 2 + (y 3) 2 d) (x 2) 2 + (y 3) 2 e) (x 2) + (y 3) 5(a + b) + 2(a + c) 4(b + c) =a) 3(a + b + c) d) 3(a + b)b) 7a + b 2c e) 7a + b + 6cc) 7a 3b + 2cSubtracting n from 4 added to threetimes n is equal toa) 2n 4 d) 4n 4b) 2n + 4 e) 4n + 4c) 2n + 4 Which best describes how anglesK , L , and M are related?a) K + L = M d) K + L + M = 180b) K + L > M e) More information neededc) K + L < MKLM12.)5 math PRACTICE TEST FORM 201814.

4 13.)15.)16.)17.)( 2) 3 + ( 3) 2 =a) 17 d) 1b) 1 e) 17c) 0 Which of the following equations has a graph that is a straight line?a) y = x 2 + 1b) 2x + 3xy = 5c) x 2 y 2 = 3d) x y = 2xe) None of theseA line not parallel to y 3 = ax isa) x 3 = d) 2ax = 2y + 5b) x = e) ax y = 5ac) x = ay 3yaya3aIf (ax + 3y) 2 = a 2 x 2 6xy + 9y 2 , then a =a) 2 d) 1b) 2 e) 6c) 1 If d = , then p =a) d(F + 2) d) b) dF 2 e) c) F + 2 p dF + 2F + 2 dd 2 FSolve for x: x + 3(x 5) = x 2(x + 5)a) x = 1 d) x = 3b) x = 1 e) x = 5c) x = 218.)6 math PRACTICE TEST FORM 201819.)21.)20.)22.)23.)24.)The area of triangle XYZ isa) 20 d) 35b) 22 e) 40c) 28 YZX1047 + =a) d) 0b) e) c) x30x5x + 5 519x 30x3x2x5 Express in scientific ) x 10 3 b) x 10 3 c) x 10 4 d) x 10 4 e) x 10 4 If = , then x =a) d) b) e) , c) , 5x + 1x + 1x 12 121432 32 3222 22 What is the volume of this rectangular box?

5 A) 24 d) 62b) 30 e) None of thesec) 60532 The remainder when x 3 4x 2 + x + 9 is divided by x 2 isa) 1 d) 17b) 3 e) 19c) 15 7 math PRACTICE TEST FORM 201826.)25.)28.)29.)If h(y) = , which of the followingis not defined?a) h(0) d) h(2)b) h(3) e) h( 2)c) h( 3)4 y 3 y2 27.) =a) d) b) e) c) 2 + 32 + 3 1 1 2 2 1330566513 515 One factor of 4x 2 8x + 4 isa) 2x + 2 d) x 1b) x 2 e) x + 1c) x + 4 The slope of the line with the equationy = 7x + 3 is a) 3 d) b) 7 e) 7c) 3717 Find the area of the shaded regionbetween the ) 4b) 6c) 8d) 10e) 12(0,6)(0,3)(4,0)yx8 math PRACTICE TEST FORM 201832.)31.)33.)34.)9 square yards isa) 1 square foot d) 81 square footb) 3 square foot e) 243 square footc) 27 square footOne factor of 3x 2 + 6x + 3 isa) 3x + 1 d) 3x 1b) x + 1 e) x 1c) x + 330.

6 What fraction of the rectangle s area is shaded?a) d) b) e) c) 1514132523 4 23 63 The function f(x) is graphed over theinterval from x = 2 to x = 8 . Whichstatement is true about f(x) over thegiven interval?a) The largest value of the function is ) The maximum value of f(x) is . c) The solution to f(x) = 0 is 2 .d) f(x) = 0 when x = 4 .e) None of these12yx( 2,1/2)(2,3)(0,2)(6, 3)(4,0) f(x)2246835.)Solve for x : ax 3 = x + da) x = d) x = b) x = e) x = c) x = d + 3a 1a 1d 3d 3 ad 3a 1d + 3 aThe amount of bacteria doubles every day. If there are 320 bacteria on day 6 , when will there be 5,120 bacteria?a) day 8 d) day 14b) day 10 e) day 16c) day 129 math PRACTICE TEST FORM 201837.)38.)39.)40.)36.)Which of the following represent(s)functions of x ? i ii iiia) i only d) i and iiib) ii only e) i , ii , and iiic) iii onlyy xy xy xThe area of an equilateral triangle with sides of length d isa) d) b) e) c) d 22 d 42 3d 82 3d 42 2d 42 dAn equation of the circle with center ( 2, k) and radius 5 isa) + = 25b) (x 2) 2 + (y + k) 2 = 5c) (x 2) 2 + (y + k) 2 = 25d) (x + 2) 2 + (y k) 2 = 5e) (x + 2) 2 + (y k) 2 = 25x 42 xk2 2 The solution set of x 6 7x 3 + 12 = 0 includesa) 1 d) 4b) 12 e) 6c) 12 3 6 3 3 When you solve the equation x 3 3x 2 + 2x = 0 , how many roots are greater than ?

7 A) no root d) three rootsb) one root e) all rootsc) two roots12An equation for the circle of radius 1 with center at (0, 1) isa) x 2 + y 2 2y = 0 b) x 2 + y 2 + 2y = 0c) x 2 + y 2 2y = 2d) x 2 + y 2 + 2y = 2e) x 2 + y 2 = 041.)10 math PRACTICE TEST FORM 201842.)46.)45.)44.)43.)If the graph of y = f(x) isthen which of the following is the graph ofy = f(x + 2) 1 ?a) d) b) e) c) fx(0, 3)( 2, 0)(4, 1)(2, 2)(0, 1)(6, 2)fx( 1, 5)( 3, 2)(3, 1)fx( 2, 2)( 4, 1)(2, 2)fxfx(2, 1)( 4, 0)( 2, 3)fx(6, 1)(0, 0)(2, 3)| 6 + 3x | < 9 is equivalent toa) 1 < x < 1 d) 5 < x < 5b) 1 < x < 5 e) 5 < x < 1c) x < 1 If 3 log x = log 8 , then x =a) d) b) 2 e) logc) 883log 8 383 How many pounds of peanuts at $2 perpound should be mixed with ten poundsof cashews at $5 per pound to make amixture worth $3 per pound?a) 10 d) 30b) 20 e) 40c) 25 POUNDS COST/POUND VALUE Cashews 10 $5 $50 Peanuts x $2 $2x Mixture 10 + x $3 $3(10 + x) = a) 27 d) b) e) c) (3y) (9y ) 3y 2 2 4 19 3y6y 34y 3411 math PRACTICE TEST FORM 201847.

8 48.)50.)49.)The solution to x 2 + 5 < 9 isa) x < 2 or x > 2 b) 2 < x < 2 c) x < 2d) x < 2 or x < 2e) x < 2 The graph of a function y = f(x) isgiven byThe domain of the inverse f 1 (x) is theset of real numbers betweena) 0 and 3 d) 1 and 3b) 1 and 1 e) 1 and 3c) 1 and 2yx1 12123 Phil bikes a distance of x miles at a rate of 15 miles per hour. How many hoursdid the trip take?a) 15x d) x 15b) e) None of thesec) x1515 xIf f(x) = x 2 + 1 , then =a) x + h d) 2x + h + 2b) h e) 2x + hc) h + 2f(x + h) f(x) h51.)Find all solutions of the equationx 4 10x 2 + 9 = 0 .a) 1 and 1 b) 3 and 3c) 1 and 3d) 1 and 9e) 1 , 1 , 3 and 3 12 math PRACTICE TEST FORM 201854.)53.)52.)56.)55.)The graph of y = has verticalasymptotea) x = d) x = b) x = e) x =c) x =2x + 35x + 77532372575A y value in the solution of 5x 2 + y 2 = 9 is 2x + y = 0a) 0 d) 4b) 1 e) 6c) 2A 90 pound coil of cable is 300 feet long.

9 If a 30 foot length is cut off, what is the weight in pounds of the remaining cable?a) 9 d) 80b) 45 e) 81c) 60 Simplify: 3(5 2i) 4(2 3i) 2 =a) 35 + 18i d) 37 + 42ib) 35 6i e) 23 + 42ic) 35 + 42i 50 18 + 32 =a) 2 2 d) 0b) 6 2 e) 8c) 8 2 13 math PRACTICE TEST FORM 201858.)57.)The function f(x) = x + 4 multiplies the input by then adds 4 . Then f 1 (x) , the inverse of f ,a) multiplies the input by , then subtracts 4 .b) multiplies the input by 4 , then subtracts .c) subtracts 4 from the input, then multiplies by .d) adds 4 to the input, then mulitiplies by .e) multiplies the input by , then subtracts 4 .3232233223323260.)59.)Which of the following could be a graph ofy = 1 |x| ?a) d) b) e) c) yxyxyxyxyxIf (5x + ay) 2 = 25x 2 10xy + a 2 y 2 ,then a =a) 2 d) 1b) 2 e) 10c) 1 log (4x 6 ) 2 log (x 3 ) is equal toa) log (2x 6 2x 3 ) b) log (2x 3 + x 6 ) c) log 2x 3 d) loge) log (4x 3 )212x3 32 14 math PRACTICE TEST FORM 201863.

10 62.)61.)65.)The vertex of the parabola y = x 2 + 6x + 7 isa) (3, 2) d) (3, 16)b) ( 3, 2) e) ( 3, 16)c) ( 3, 7)Solve for x: 2 x =a) 2 ab/c d) b) 2 ab c e) a + b cc) 2 2 2bacab ca + b cLet A , B , C be distinct points on acircle with diameter AB . Then we mayconclude thata) AC is longer than AB .b) angle ABC is greater than angle BAC .c) angle BAC is greater than angle ACB .d) angles BAC and ACB are ) angle ACB is a right BC64.)If sin A = and 0 < A < 90 , then cos A =a) d) b) e) c) 138 3238 38 98 10 Suppose a triangle has the dimensions indicated below:Then sin B equalsa) d) b) e) c) a = 30A =b = 10B 46 22 62 602 602 666.)cos tan =a) sin d) cot b) e) sec c) 1cos sin 2 15 math PRACTICE TEST FORM 201867.)69.)68.)70.)A sketch of the graph of y = tan(x) isa) d) b) e) c) y x y xy x y xy xLet be the angle formed by the line y = 3x and the positive x axis.