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.

2 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. 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.

3 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.)8.)10.

4 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?

5 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.)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 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?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.

7 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.

8 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.

9 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)

10 12 3 6 3 3 When you solve the equation x 3 3x 2 + 2x = 0 , how many roots are greater than ?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?