Exam (elaborations) TEST BANK FOR PRECALCULUS Functions and Graphs BERNARD KOLMAN, ARNOLD SHAPIRO AND MICHAEL L. LEVITAN (Auth.)

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 PRECALCULUS Functions and Graphs BERNARD KOLMAN, ARNOLD SHAPIRO AND MICHAEL L. LEVITAN (Auth.) CHAPTER TEST 1A 1. Write explicitly the elements of the set of all integers 73 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 - 5 evaluate the following: 3. '* " y* when x = -3 and y = 2 4. 4 - 52 + 7(3 + 1) I 1 5 ^JU 5 6 In Problems 6 - 7 perform the indicated operations and simplify: 6. (x - 4x2 + 3) - (2 - 5x + 8x2) 7. (x - 3y) (y - 3x) In Problems 8 - 9 factor completely using only integer coefficients. 8. 4x3 - 9* 9. 16(y + 1) - x2(y + 1)3 In Problems 1 0 - 1 3 simplify: 10. 11. 12. 13. Write the following as the ratio of two polynomials: 4(x + 1)2 - 3x~2 sL· y 2 -3 • 6y ■ 2y 2x + 1 3 + 2_ _ X 2 X 2 - 7 Λ - 8 5 x - y2 - I7 "5 Ja 16 JiL In Problems 14 - 15 simplify: 14. 8 /3 »· Φ* 16. Rationalize the denominator: 5 1 CHAPTER TEST 1A 17. Simplify and combine: /TF + Λ8" - 2 V§T 18. Write the following in the form a + bi: (3 + li) (2 - i) 19. Find the values of x satisfying the inequality 2x + 3 5 and draw the solution set on the real line. 20. Find the set of x such that: x2 - 6x + 8 ^ 0 2 CHAPTER TEST 1B 1. Write explicitly the elements of the set of all integers n such that n 4.1 and x ^ 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 - 5 evaluate the following: 3. xy when x = 2 and y = -1 Ixl - M 4. 9 + 4(32 - 5) 5. ^ — i 1-i In Problems 6 - 7 perform the indicated operations and simplify: 6. 2(3xy + 4t - 5) + 3(7 - xy + t) 7. (x2 + 2x + 3) Cx - 1] In Problems 8 - 9 factor completely using only integer coefficients. 8. xk - 6x2 + 5 9. 3(3z + 6) - z2(z + 2) In Problems 1 0 - 1 3 simplify: a2 + 2ab + b2 A a2 - 2?2 2a2 - a£ - b2 ' 2a2 + 3a2 + b2 n 2x . 4x + 1 x - 1 x + 1 12. 2 Χ + Γ 4 Τ i 3x x - 1 13. Write the following as the ratio of two polynomials: x2 - 5x~3 + Ar 3 CHAPTER TEST 1B In Problems 14-15 simplify: M "3/2 15. (8) 16. Rationalize the denominator: Λ- 2 17. Simplify and combine: -2/32 - /Ϊ8" + ι/ξδ" 18. Write the following in the form a + bi: (4 - 7i) (2 + i) 19. Find the values of x satisfying the inequality -3x + 2 1 and draw the solution set on the real line. 20. Find the set of x such that: x2 - 8x + 15 0 4 CHAPTER TEST IC 1. Write explicitly the elements of the set of all positive integers n such that n. ^ A. 2. On the real number line, draw the graph of the set of positive numbers x satisfying x ^ A. 1 , In Problems 3 - 5 evaluate the following: 3. .slffc ~ 5l when s = 3 and t = 2 - |-A| A. 7 v 4 + 9(52) li - I '5 10 In Problems 6-7 perform the indicated operations and simplify: 6. (9t - 5t2 + s - st) - (125 + st2 - i*s - st + 9t) 7. (z + 1)2(2z + 3) In Problems 8 - 9 factor completely using only integer coefficients. 8. 3x2 + Ax - 20 9. w2x2(y + 3) + 8t2(-6 - 2y) In Problems 1 0 - 1 3 simplify: m g2 " z " 6 · z2 * z " 2 lu# z* - 1 T z2 + Az + 3 11 * + 1 2(x - 1) 11 . , + rx - A 3 - x 1 1 12. x " x + 1 3 _ 1 x + 1 x 13. Write the following as the ratio of two polynomials: 5 CHAPTER TEST 1C In Problems 14 - 15 simplify 14. (64) k »· UP 16. Rationalize the denominator: 6 3/Γ+ 5 17. Simplify and combine: 21/3 + 2Va + 2? / 3 18. Write the following in the form a + bi: (3 - i) (2 + i) 19. Find the values of x satisfying the inequality 5x - 1 * -2 and draw the solution set on the real line. 20. Find the set of x such that x2 + 3x - 4 0 6 CHAPTER TEST 1D 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. In Problems 3 - 5 evaluate the following: 3# st - t when s = _3 a n d t = 5 t t - s I 4. 6 - 4 T (2 + 2 · 3) JL 1 5. 10 " 7 _L 1 14 + 5 In Problems 6 - 7 perform the indicated operations and simplify: 6. (x + 9x2 + 5x3 - 4) - 2(4 + 8x - 9y) 7. (-3w - 1) (-2* + 1) In Problems 8 - 9 factor completely using only integer coefficients. 8. 2x2 - 3x - 9 9. 4x yz3 + 3yz x - yz In Problems 10-13 simplify: 4z2 + 3z - 1 A 4z2 - z z + 2z + 1 z - z - 2 11. 2 3x_ 2x2 + 3x x + 1 A x 12. * + x2 - 1 7 CHAPTER TEST ID 13. Write the following as the ratio of two polynomials: 2x3 - 3X-1 x-2 + 1 In Problems 14 - 15 simplify: 14. (32) /s 16. Rationalize the denominator: *2 -y x + /y 17. Simplify and combine: 1/ 6/ 1 1/ 3/5 + 3A _ 3 /5 18. Write the following in the form a + bi: (4 - 2i) (6 - i) 19. Find the values of x satisfying the inequality 3x + 2 * -7 and draw the solution set on the real line. 20. Find the set of x such that x2 + 4x - 12 * 0 8 CHAPTER TEST 1E 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 - 5 evaluate the following: 3. It - Als ts when s = -2 and t = -1, A. A - 82 * 5(2 + (-1)2) 12 1 5. 19 + 5 _A_ I 15 " 9 In Problems 6 - 7 perform the indicated operations and simplify: 6. -2(Ay - 3x + 5z) - 3(2x - z + A) 7. (Az - 3w + 1) (nr - 2z + 5) In Problems 8 - 9 factor completely using only integer coefficients. 8. -3x2 + Ax + 32 9. x'y 3^.4(-7+aL|Ji] In Problems 10 - 13 simplify: x2 - 3x + 2 ± -x2 + x + 2 Ίϋ# x2 - 7x + 12 ' x2 + 2x - 15 n Ax - 1 x 2x + 5 2 - x 3x 5 12. x - 2 x + 1 1 Ί 2 - x 9 CHAPTER TEST 1E 13. Write the following as the ratio of two polynomials: (x - 1Γ1 + 1 X~3 + X In Problems 14-15 simplify: 14. (64) /a 16. Rationalize the denominator: 8 17. Simplify and combine: 3(2^) - 2% + 21 % 18. Write the following in the form a + bi: (i + 3) (4 - i) 19. Find the values of x satisfying the inequality 2x - 3 3x + 4 and draw the solution set on the real line. 20. Find the set of x such that: 2x2 - 5x - 12 0 10 CHAPTER TEXT 2A 1. Determine the longest side of the triangle whose coordinates are (-1,-2), (2,2), (-3,4). 2. Determine the symmetry of x2y3 - xky = 3y with respect to the x-axis, y-axis, and origin. Problems 3 - 6 refer to the following: A person has x dollars and wants to buy $2 stamps, x ^ 0. Let Nix) denote the number of stamps which can be bought for x dollars. 3. Find the domain of Nix). 4. Find the range of Nix). 5. Find the values of x such that N{x) is increasing, decreasing, and constant. 6. Draw the graph of y = Nix). 7. Find the equation of the line perpendicular to the line through (7,2) and (-1,2) and passing through (-1,2). 8. Find the equation of the line parallel to x = -2y through