Exam (elaborations) TEST BANK FOR COLLEGE ALGEBRA 2ND EDITION BERNARD KOLMAN & ARNOLD SHAPIRO by Michael L. Levitan

TEST BANK with Complete Questions and Solutions. To clarify, this is the TEST BANK, not the textbook. You get immediate access to download your test bank. You will receive a complete test bank; in other words, all chapters will be there. Test banks come in PDF format; therefore, you do not need specialized software to open them. TEST BANK FOR COLLEGE ALGEBRA, SECOND EDITION BERNARD KOLMAN & ARNOLD SHAPIRO by Michael L. Levitan CHAPTER TEST lA 1. Write explicitly the elements of the set of all integers n such that -5.1 n 0.3. 2. On the real number line, draw the graph of the set of real numbers x such that -5.1 x 0.3. In Problems 3-6 evaluate the given expression. 6 - (-4)I - 1-6+41 3. |6| - |4| t - 4|s ri—; when s = -2 and t = -1. 4 - 82 - 5(2 + (-1) 2) 1- + - 9 5 _L _ i 15 9 In Problems 7 and 8 perform the indicated operations and simplify. 7. -2(4-2/ - 3x + 5z) - 2{2x - z+ 4) 8. (4z - 3Àà + 1) (w - 2z + 5) In Problems 9 and 10 factor completely using only integer coefficients. m 4 10. a: 2/ - -3,z2/* -Ë 4/ i-- 7 +2 zy- +^ 14 j In Problems 11-14 simplify. 11. 2x + Sx - 3 12. 13. 14. -x - 2x + 3 -x2 + a: + 2 Ë?2 - 7x + 12 x2 + 2x - 15 4a; - 1 x 2x + 5 2 - a; 3x 5__ X - 2 x + 1 1 + 15. Write the following as the ratio of two polynomials: (X - 1) 1 + 1 - 3 X + X 1 4. 5. 6. 9. -3x2 + 4x + 32 CHAPTER TEST 1A In Problems 16 and 17 simplify, 16. (.64) "k/Z / i " 3 / 2 17 * U) 18. Rationalize the denominator: /6 - JÏ 19. Perform the indicated operation and write your answer using only positive exponents: x Wx3 + Jx 20. Simplify and combine: 3(23 A ) - 2 7 Ë + 2 l l A In Problems 21-23 write the expression in the form a + bi. 21. (i + 3)(4 - i) 22. (2 - i) 3 23. 1 ^ 4 4 - % 2 CHAPTER TEST IB 1. Write explicitly the elements of the set of all natural numbers n such that 1.4 n 3.8. 2. On the real number line, draw the graph of the set of real numbers x such that 1.4 x 3.8. 12. 13. 14. z - 2 4 + 3x 15. Write the following as the ratio of two polynomials: ^ 3 „ -l 2x - 3x -2 x +1 3 In Problems 3-6 evaluate the given expression. 3. 4. 5. 6. when s= -3 and t = 5 6 - 4 -r (2 + 2 · 3) In Problems 7 and 8 perform the indicated operations and simplify. 7. (x + 9x2 + 5x3 - 4) - 2(4 + Sx - 9y) 8. (-3W - 1){-2W + 1) In Problems 9 and 10 factor completely using only integer coefficients. 9. 2x2 - 3x - 9 10. 4x2yz3 + 3yz3x - yz3 In Problems 11-14 simplify. 11. _9_ j4 10 "" 7 1 1 îï+ 5 CHAPTER TEST IB In Problems 16 and 17 simplify. -k/5 16. 17. 18. (32) ' (àf Rationalize the denominator: x2 -_ y x + Jy 19. Perform the indicated operations and write your answer using only positive exponents: /2x 1/3 X + X ^1/5 ^6/5 0ll/5 20. Simplify and combine: 3l/5 + 36/- _ 3. In Problems 21-2 3 write the expression in the form a + bi. 21. (4 - 2i) (6 - i) 22. (2i + 3 ) 3 23. i^ii ^ - 6 4 CHAPTER TEST IC 1. Write explicitly the elements of the set of all integers n such that n 4.1 and n 7.5. 2. On the real number line, draw the graph of the set of real numbers x satisfying x 4.1 and x 7.5. In Problems 3-6 evaluate the given expression. 3. |5 - 2| - 3 1-2 + 6| 4# L_izJ when x = 2 and y = -1 12/1 5. 9 + 4(32 - 5) 1 1 i - i In Problems 7 and 8 perform the indicated operations and simplify. 7. 2(3xy + U - 5) + 3(7 - xi/ + t) 8. (x2 + 2a: + 3) (x - 1) In Problems 9 and 10 factor completely using only integer coefficients. In Problems 11-14 simplify. 11. 12. 13. 14. _-x __+_A 2 x + x - 6 a2 + 2ab + b2 . 2a2 - ab - b2 2x 4x + 1 r + T~ x - 1 x + 1 ""»T 1 x - 1 i --i£L_ a2 - fc2 2a2 + 3a£ + b2 15. Write the following as the ratio of two polynomials: 2 c -3 1 x - Sx + — 5 9. 10. ÷4 - 6x2 + 5 3(33 + 6) - z2(z + 2) 5 CHAPTER TEST IC In Problems 16 and 17 simplify. - &Ã 17. (8)-*/3 18. Rationalize the denominator: -4 v/5"- 2 19. Perform the indicated operation and write your answer using only positive exponents : a; + 1 ) ix + x) 20. Simplify and combine: -2/32 - /ÏS + /5Ö In Problems 21-2 3 write the expression in the form a + hi. 21. (4 - li) (2 + i) 23. ± ^ l 2 + % 6 22. (2i - 3) 3 CHAPTER TEST ID 1. Write explicitly the elements of the set of all positive integers n such that n 4. 2. On the real number line, draw the graph of the set of positive numbers x satisfying x 4. In Problems 3-6 evaluate the given expression. " 1.8I + 1-0.8 1 3. 11.8 - 0.8| 1st - 5 I when s = 3 and t 6. 7 v 4 + 9(52) 4 5 Ls io In Problems 7 and 8 perform the indicated operations and simplify. 7. (9t - 5t2 + s - st) - (125 + st2 - 4s - st + 9t) 8. (2 + 1)2(22 + 3) In Problems 9 and 10 factor completely using only integer coefficients. 20 10. W2x2(y + 3) + 8t2(-6 - 2y) In Problems 11-14 simplify. 1 11. 12. 2x - 3 14. 2 x + 1 a: 15. Write the following as the ratio of two polynomials: 1 1 1 — 2 + — + * X X 1 4. 5. 9. 13. 2 CHAPTER TEST ID In Problems 16 and 17 simplify. 1/6 16. 17. 18. (64) ' (èf2 Rationalize the denominator : 6 Perform the indicated operation and write your answer using only positive exponents : 19. 20 Simplify and combine : In Problems 21-23 write the expression in the form a + bi . 21. 22. 23. (3 - i) (2 + i) a + 2 ) 3 3 - j 2 + i 8 CHAPTER TEST IE 1. Write explicitly the elements of the set of all integers n such that -2 n 3. 2. On the real number line, draw the graph of the set of real numbers x satisfying -2 x 3. In Problems 3-6 evaluate the given expression. 3. 2|-4| - 3 1-3 | xy when x - -3 and y = 2 In Problems 7 and 8 perform the indicated operations and simplify. 7. (x - Ax1 + 3) - (2 - 5a: + 8x2) 8. (x - 3y) (y - 3x) In Problems 9 and 10 factor completely using only integer coefficients. 9. 4x3 - 9x 10. 16(y + 1) - x2(y + 1 ) 3 1 2 . .¥2 - 6.y - 7 , ,y2 - 5.y - 14 z/2 - 22/ - 8 z/2 - 16 13. 14. 2x + 1 a: - 3 a; i-2 x 15. Write the following as the ratio of two polynomials: 4(x + 1 ) 2 - 3x~2 9 4. 5. 6. 4 - 52 + 7(3 + 1) 1_ !_ 5 - 3 2 1 5 + 6 11. In Problems 11-14 simplify. CHAPTER TEST IE In Problems 16 and 17 simplify. -2/3 16. 8 i7· y 18. Rationalize the denominator: 5 /2 + /I 19. Perform the indicated operation and write your answer using only positive exponents: 1/3/ -5/2 20. Simplify and combine x' (x~5/2 - 2) y/Ï2 + /ÄQ - 2Î^8Î In Problems 21-23 write the expression in the form a + b% . 21. (3 + li) (2 - i) 22. (i - 1)3 23. l i i i 1 - i 10 CHAPTER TEST 2A 3. Michael can paint a fence in 2 hours. It takes Cheryl twice as long to paint the same fence. The same is true for Eric. Suppose Michael and Eric start painting at the same time. One hour later, Cheryl joins them to help finish. How long does Cheryl paint? 4. One number is 6 less than 3 times another number and their sum is 46. Find the larger number. 5. In the formula A = ^h(b + b') solve for b. 6. A piece of wire 16 feet long is bent into the shape of a rectangle where one side is 2 feet longer than the other side. Find the area of the rectangle. In Problems 7-9 find all values of x satisfying the inequality and draw the solution set on the real number line. 7. 2x - 3 3x + 4 "5 o 1 - 2x 9. 7 + 2 a : 5 - 3 a ; 4 10. Find all solutions: 2x - 3[ 5 11. Solve the inequality: 13 + 2x 1 12. Solve the following quadratic equation by factoring: 11 8. -Sx2 + S2x + 280 = 0 1. 2. In Problems 1 and 2, find the solutions. CHAPTER TEST 2A 12 Solve the following quadratic equation by use of the quadratic formula : In Problems 14 and 15 find the solutions. 14. 15. 16. 17. Find the set of x such that The sum of the lengths of the two legs of a right triangle is 5. If the length of the hypotenuse is /E~3, find the length of the shortest side. 13. CHAPTER TEST 2B In Problems 1 and 2 find the solutions. 1. 10 - 4 U + 1) = 3(4 - x) - 10 9 5- 6 2x + 1 2x + 1 Cheryl and Eric can each paint a room in 4 hours. Suppose Cheryl starts painting and one hour later Eric joins her to help paint what is left. How long will Eric have to paint? One number is 5 more than twice another number, and the sum of the two numbers is 41. Find the smaller number. In the formula E = —mv2 + mgh solve for m. 6. A piece of wire 30 feet long is bent into the shape of a quadrilateral in which the sides are in the proportion 1:1:2:2. Find the length of the shortest side. In Problems 7-9 find all values of x satisfying the inequality, and draw the solution set on the real number line. 7. 3x + 2 -7. 4 - x 3 o 9. 3 - x 5 4 + x 10. Find all solutions: | 2x - 1| 4 11. Solve the inequality: ÷ + il 5 12. Solve the following quadratic equation by factoring : 13. Solve the following quadratic equation by use of the quadratic formula : 13 2. 3. 4. 5. 8. 4x - 8 + x = 0 CHAPTER TEST 2B In Problems 14 and 15 find the solutions. 14. 2x - 5/x - 3 = 3 16. Find the set of x such that x2 + 4x - 12 0 17. The length of one leg of a right triangle is 6. The difference in length between the hypotenuse and the other leg is 4. Find the length of the shortest side of the triangle. 14