Name: __________________ Class: Date: _____________ 1 Draw a number line showing the approximate location of the indicated number. a. b. c. d. e. - PAGE 1 (copy B) Name: __________________ Class: Date: _____________ 2 Draw a number line showing the approximate location of the indicated number. a. b. c. d. e. - PAGE 2 (copy B) Name: __________________ Class: 3 Show the interval on a number line. (3, 6) a. c. Date: _____________ b. d. e. - 4 Show the following interval on a number line. (- 4, 2] a. c. e. - PAGE 3 b. d. (copy B) Name: __________________ Class: Date: _____________ (copy B) 5 Show the following interval on a number line. a. b. c. d. e. - 6 Rewrite using absolute value notation. The distance between x and 8 is 3. |x-8|=-3 |x+8|=3 |x-8|=3 a. b. c. 7 Rewrite using absolute value notation. The distance between x and 1 is at least 2. |x+3|=8 d. - a. b. d. e. 8 Rewrite using absolute value notation. The distance between x and 4 exceeds c. - a. b. d. e. - PAGE 4 |x-3|=8 e. . c. Name: __________________ Class: 9 Indicate the solution on a number line. |x|<2 a. c. Date: _____________ b. d. e. - 10 Indicate the solution on a number line. |x|>3 a. c. e. - PAGE 5 b. d. (copy B) Name: __________________ Class: 11 Solve by factoring. x 2 - 3x - 10 = 0 x=-2 x=2 a. b. 12 Solve by factoring. Date: _____________ x=1 (copy B) x=-4 x=5 c. d. e. c. d. e. - a. b. - 13 Solve, using the quadratic formula. a. b. d. e. c. - 14 Solve, using the quadratic formula. a. b. d. e. c. - 15 Solve for in terms of the other letters. a. b. d. e. c. - 16 Find the distance between the given points. (- 11, - 7) and (- 3, - 13) 18 15 10 a. b. c. 17 Find the distance between the given points. and 39 36 d. e. d. e. - a. - PAGE 6 b. c. Name: __________________ Class: Date: _____________ (copy B) 18 Find the midpoint of the line segment joining P and Q: P (3, 12) and Q (11, 26). a. b. c. 19 Find the midpoint of the line segment joining P and Q. P (-14, 19) and Q ( 10, 1) d. e. - a. b. c. d. e. 20 The given points P and Q are endpoints of a diameter of a circle. Find the center and radius of the circle (rounded to the nearest hundredth). P(- 3, - 1) and Q(7, 5) a. center: (2, 2); radius: 5.83 b. center: (2, 1); radius: 5.63 c. center: (2, 2); radius: 5.63 d. center: (2, 2); radius: 5.23 e. center: (2, 1); radius: 5.13 21 Determine whether the given point lies on the graph of the equation. - - a. no - PAGE 7 b. yes Name: __________________ 22 Graph the equation a. c. e. - PAGE 8 Class: Date: _____________ b. d. (copy B) Name: __________________ Class: Date: _____________ 23 Find both the x-intercept and the y-intercept for the equation defined as follows: Choose the correct graph of this straight line equation. a. b. 1a c. d. 3 e. 1 - PAGE 9 1b 2 (copy B) Name: __________________ Class: Date: _____________ (copy B) 24 Determine all x-intercepts and y-intercepts for the equation as follows: a. x-intercepts: y-intercept: b. x-intercepts: y-intercept: c. x-intercepts: y-intercepts: d. x-intercepts: y-intercept: e. x-intercept: y-intercept: 25 Compute the slope of the line passing through the two given points. - a. b. c. d. 26 The slopes of four lines are indicated in the figure. List the slopes of increasing value. e. - a. b. in order c. d. e. 27 Find the equation of the line having the given slope and passing through the given point. m = - 7; through (- 3, 2) y = - 7x + 16 y = - 7x + 19 y = - 7x - 19 a. b. c. y = - 7x - 20 y = - 7x + 17 d. e. 28 Find the equation of the line through the given points. - - a. b. d. e. - PAGE 10 c. Name: __________________ Class: Date: _____________ 29 Find the equation of the line through the given points. (2, 9) and (- 14, 9) x = 9y y=9 x=9 a. b. c. 30 Find the equation of the line described below. y = 9x d. b. c. d. e. 31 Find the equation of the line described as follows: The line is parallel to and passes through Choose your answers in the form - a. b. c. d. e. 32 Find the equation of the line described. Is parallel to and passes through Choose your answers in the form - a. b. c. d. e. 33 Find the equation of the line described below. The equation is perpendicular to and passes through Write your answer in the form - a. b. d. e. 34 Find the equation of the line described below. The equation is perpendicular to Write your answer in the form c. - a. b. d. e. - PAGE 11 y=x e. - a. (copy B) and passes through c. Name: __________________ 35 Find the center of the circle. (x - 2) 2 + (y - 5) 2 = 9 (2, - 5) (2, 5) a. b. 36 Find the radius of the circle. (x + 4) 2 + (y + 2) 2 = 20 20 a. b. 37 Does the point Class: Date: _____________ (- 2, - 5) (copy B) (4, 10) (- 2, 5) c. d. e. c. d. e. - - lie on the circle described by the equation below? x2 + y2 = 1 a. Yes 38 Find the center of the circle. b. No - a. b. d. 39 Solve the equation. c. e. - a. b. d. 40 Solve the equation. c. e. - a. b. d. c. e. - 41 Solve the equation. a. b. c. d. e. The equation has no real roots. - PAGE 12 Name: __________________ Class: Date: _____________ (copy B) 42 Find the value of k such that the equation has one real root. k=3 k = 38 k=0 a. b. c. 43 Find all real solutions. 3t 4 + 3t 3 - 6t 2 = 0 t=0 t=-2 a. b. t=-1 t=1 d. e. 44 Find all real solutions. 4y2 = 5 - y4 y = 4, - 5 y = 1, - 1 y = - 4, 5, 1 a. b. c. 45 Find all real solutions. k = 36 k=4 d. e. - t=2 c. no solution f. - y = - 5, - 1 d. y = 4, 1 e. - a. b. d. 46 Find all real solutions. c. e. - x=2 x=8 a. x=-2 b. x=-8 d. 47 Find all real solutions. c. no real solution e. - x = -1, - 8 x = 1, - 8 x = 1, -1, 8 a. b. 48 Find all real solutions. c. x = - 1, 8 d. e. - a. b. d. e. c. no real solutions - PAGE 13 x=-8 Name: __________________ Class: Date: _____________ 49 Solve. Express your answer using interval notation. a. b. c. d. e. 50 Solve. Express your answer using interval notation. - a. b. c. d. e. PAGE 14 (copy B) ANSWER KEY Exam I Review - Answers For B 1. e 9. c 17. e 25. e 33. a,e 2. a 10. a 18. a 26. d 34. b,d 41. c 42. d 49. d 50. a 3. e 11. a,e 19. e 27. c 35. b a,b, 43. e ANSWER KEY - Page 15, copy B 4. a 12. b,d 20. a 28. b 36. c 5. c 13. c,e 21. b 29. b 37. b 6. c 14. a,c 22. b 30. d 38. a 7. e 15. b 23. e 31. d,e 39. e 8. d 16. c 24. b 32. d,e 40. c 44. b 45. b 46. c 47. b 48. b ANSWER KEY Exam I Review - Answers For B ANSWER KEY - Page 16, copy B