CLEP College Algebra Practice Test - …

1 Copyright 2004 Thomson Peterson s,part of the Thomson CorporationCLEP is a registered trademark of the College Entrance Examination Board, whichwas not involved in the production of and does not endorse this College AlgebraPractice Test1.(3x + 5)2 =(A) 9x2 + 30x + 25(B) 9x2 + 15x + 25(C) 9x2 + 15(D) 9x2 + 25(E) 3x2 + of the following is a factor of16 (3x + 2)2?(A) 16 3x + 2(B) 4 + 3x 2(C) 4 + (3x + 2)(D) (3x + 2)2(E) 3x + (2r2 6) (5r3 12 + 10r) + 8 =(A) 3r3 + 34r + 20(B) 3r3 + 34r 20(C) 3r3 34r + 20(D) 3r3 34r 20(E) 13r3 + 34r + a + b = 4, what is the value of |4 a| + |4 b|?(A) 4(B) 0(C) 4(D) 8(E) It cannot be determined from the defined, x-x+x+x-216545(A) 155x+ x-()()(B) xx-x+ ()()455(C) xx-x++()()455(D) xxx+2205 (E) x+ of the following is a factor of 8x2 2x 28?

2 (A) 4x + 7(B) 4x 4(C) 4x + 2(D) 2x 7(E)x + the following, which is greatest?(A) 4(23)(B) (42)3(C) (24)3(D) 2(43)(E) (34)2 Time 90 Minutes60 QuestionsFor each question below, choose the best answer from thechoices 2004 Thomson Peterson s,part of the Thomson CorporationCLEP is a registered trademark of the College Entrance Examination Board, whichwas not involved in the production of and does not endorse this College every positive integer x, xx x=!!1()+(A) 1(B) 0(C)x 1(D)x(E) of the following is equal to abab 313343?(A) b a10994(B) ba10994(C) ab94109(D) ba13(E) drops a tennis ball out a window that is hfeet high. The tennis ball hits the ground andbounces several times. The height of each bounceis 35 the height of the previous bounce. For ex-ample, after the first bounce, the ball bounces toa height of 35h feet.

3 Which of the following rep-resents the total number of feet the ball travelsbetween the first and eighth bounce?(A) 350hii= (B) hii3517 = (C) hii3518 = (D) 23518hii() = (E) 235181hii() = +Copyright 2004 Thomson Peterson s,part of the Thomson CorporationCLEP is a registered trademark of the College Entrance Examination Board, whichwas not involved in the production of and does not endorse this College of the lines in the figure above is the graphof y = 5?(A)a(B)b(C)c(D)d(E) of the following gives all values of p forwhich |p + 8| 12?(A) {p|p 12}(B) {p|4 p 20}(C) {p| 12 p 12}(D) {p| 20 p 4}(E) {p|p 20 or p 4} of the following are the solutions of theequation 3x2 x = x 16?(A)x = 3 and x = 16(B)x = 16 and x = 8(C) 2247622476+ and(D) + 2247322473ii and(E) 2247622476+ ii shaded region in the figure above representsthe intersection of the graphs of y x, x 1, andwhich of the following inequalities?

4 (A)y 2x + 3(B)y 2x + 3(C)y 2x 3(D)y 4x 3(E)y 4x + 3 Copyright 2004 Thomson Peterson s,part of the Thomson CorporationCLEP is a registered trademark of the College Entrance Examination Board, whichwas not involved in the production of and does not endorse this College figure above shows the graph of the line withequation ax by = 1. Which of the following mustbe true?(A)a = 1 and b < 0(B)a < 0 and b = 0(C)a < 0 and b < 0(D)a < 0 and b > 0(E)a > 0 and b < set of all values for b for which the equation5x2 + bx + 5 = 0 has either one or two real roots isdefined by(A)b < 10(B)b > 10(C)b 5 or b 5(D)b 10 or b 10(E)b < 10 or b > quadrants of the xy-plane contain pointsof the graph of 5x + y < 6?(A) II and IV only(B) I, II, and IV only(C) II, III, and IV only(D) I, II, and III only(E) I, II, III, and opens a bank account with $5,000 andmakes no additional deposits or the same week, her friend Emily spends$15,000 on a new car.

5 At the end of each year,$250 is added to Janna s account, while the valueof Emily s car decreases by $500 each of the following systems of equationscould be used to find the number of years, y, thatit will take for the values of Janna s bank account(v1) and Emily s car (v2) to be equal?(A)v1 = 5,000 + y and v2 = 15,000 y(B)v1 = 5,000y + 250 and v2 = 15,000y 500(C)v1 = 5,000 + 250y and v2 = 15,000 500y(D)v1 = 5,000 + 500y and v2 = 15,000 250y(E)v1 = 5,000 250y and v2 = 15,000 + A = {50,65}, B = {45,50,60,75}, and C ={30,40,50,60,70}, then (A B) C(A) the empty set(B) {50}(C) {60}(D) {50, 60}(E) {45, 50, 60, 65, 70} of the following numbers are notrational? 227(A) I only(B) I and II only(C) I and III only(D) II and III only(E) I, II, and IIIC opyright 2004 Thomson Peterson s,part of the Thomson CorporationCLEP is a registered trademark of the College Entrance Examination Board, whichwas not involved in the production of and does not endorse this College 262 ii is expressed in the form a + bi, thenwhat is the value of b?

6 L > m > 0 > n, then each of the following mustbe true EXCEPT(A)ln < lm(B)lm > mn(C)ln < m2 < lm(D)l4 > m4 > n4(E) lm>23.( 3i)5 =(A) 93(B) 93i(C) 27i(D) 9(E) are all real values of y for which 571510yy+=+?(A)y = 12(B)y = 3 and y = 3(C)y = 3 and y = 12(D)y = 12 and y = 12(E) There are no real is the 20th term of the arithmetic sequence3x, 3x + 2, 3x + 4, ..?(A)x + 38(B) 3x + 38(C) 3x + 40(D) 3x + 42(E) 114r p(r) 4 958 2 98 0 50 2 46 4 286 6 1,922 8 15, table above gives some of the values of afifth degree polynomial p(r). Based on the valuesshown, what is the minimum number of real rootsof the equation p(r) = 0?

7 (A) Five(B) Four(C) Three(D) Two(E) drew a pattern with rows of triangles. Thelast row had 35 triangles. The row above it had33 triangles, and each row above had 2 fewer tri-angles than the row just below it. There is 1 tri-angle in the top row. How many triangles are inthe pattern in all?Copyright 2004 Thomson Peterson s,part of the Thomson CorporationCLEP is a registered trademark of the College Entrance Examination Board, whichwas not involved in the production of and does not endorse this College is the middle term in the expansion of xx326+ ?(A) 2027(B) 16027(C) 20276x(D) 160276x(E) x = 5 is a solution to the equation 2x3 ax2 + 4x 20 = 0, what is the value of a? first three terms of a geometric sequence are 15115145, , and. Which of the following rep-resents the nth term of the sequence?

8 (A) ()() 15311nn(B) ()()153nn(C) ()11511n+n+(D) ()11511n+n-(E) ()() the remainder is 19 when x3 2x2 + lx 8 isdivided by x 3, then l =(A) 0(B) 3(C) 5(D) 6(E) figure above shows the graph of the functionf. What is the value of f(f (0))?(A) 1(B) 2(C) 3(D) 4(E) the xy-plane, what is the x-intercept of the graphof yx= 3515?Copyright 2004 Thomson Peterson s,part of the Thomson CorporationCLEP is a registered trademark of the College Entrance Examination Board, whichwas not involved in the production of and does not endorse this College of the following define y as a functionof x? 6x2 + 4y = y 10 8 5 7 5 3 10 7(A) None(B) I only(C) I and II only(D) II and III only(E) I, II, and 52 + p = 25p, then p = of the following could be the graph ofy = x2 + 8x + 12?

9 (A)(B)(C)(D)(E)Copyright 2004 Thomson Peterson s,part of the Thomson CorporationCLEP is a registered trademark of the College Entrance Examination Board, whichwas not involved in the production of and does not endorse this College f (x) = 4x 3 and g(x) = 3x + 3, then f (g(x)) =(A) 12x2 + 3x 9(B) 12x + 9(C) 12x + 15(D)x + 3(E) log2(x 6) = 5, then what is the value of x?(A) 25(B) 31(C) 38(D) 41(E) a science experiment, Ajay starts with 8 milli-liters of a solution at 9 Every 20 minutes,he doubles the amount of solution. Assuming nosolution evaporates, how many milliliters of solu-tion will there be at 11 (A) 256(B) 512(C) 1,024(D) 2,048(E) 4, of the following must be true?I. = log6(pxr) = xlog6 p + log6rIII. log4 4x = 4x(A) I only(B) II only(C) I and II only(D) II and III only(E) I, II, and f (x) = 8 + 3x2, and f 1 represents the inversefunction of f, then f 1(x) =(A) 3 + 8x2(B) 1832+x(C) 83 x(D) x 83(E) x 8342.

10 324532xxxx + +(A) 862443 22xxxx +()+()(B) 81643 22xxxx+++()+()(C) 2743 2xxx +()+()(D) x5xx++()+()43 2(E) 2322xx+ Copyright 2004 Thomson Peterson s,part of the Thomson CorporationCLEP is a registered trademark of the College Entrance Examination Board, whichwas not involved in the production of and does not endorse this College graph of the function y = f (x) is shown in thepreceding diagram. Which of the following is thegraph of y = f (x 2) + 2(A)(B)(C)(D)(E)44.(i 4)(2 + i) + (3i 6) =(A) 15 + i(B) 14 + i(C) 12 + i(D) 21(E) an exponential function defined by f (x) = mnx,where m and n are positive constants. If f (4) =162 and f (3) = 54, what is the value of m? of the following will result in a perfectsquare for all integer values of x, when added to9x2 + 16?(A) 36x(B) 24x(C) 16x(D) 12x(E) 0x + y = 2x2 + y2 = what values of x will (x, y) be a solution tothe above system of equations?