Algebra 1 Spring Final Study Guide

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30. Write the equation that describes the line in slopeintercept form. slope = 4, point (3, –2) is on the line a. y = 4x + 14 b. y = 4x – 14 c. y = 4x + 10 d. y = 4x – 2 31. Write an equation in point-slope form for the line that has a slope of 6 and contains the point (–8, –7). a. x – 8 = 6(y – 7) b. y + 8 = 6(x + 7) c. y – 7 = 6(x – 8) d. y + 7 = 6(x + 8) 32. Write an equation in slope-intercept form for the line parallel to y = 5x – 2 that passes through the point (8, –2). a. y = − 1 5 x – 2 b. y = − 1 5 x – 2 5 c. y = 5x + 32 d. y = 5x – 42 33. Tell whether the ordered pair (5, –3) is a solution of the system . a. no b. yes 34. Solve by substitution. Express your answer as an ordered pair. a. ( 3, −2) b. (− 8 3 , –3) c. (− 4 3 , 1) d. (−2, 3) 35. Solve by elimination. Express your answer as an ordered pair. a. (–2, –3) b. (–2, 0) c. (0, –2) d. (–8, –6) 36. Solve by elimination. Express your answer as an ordered pair. a. (3, 4) b. (4, 3) c. (3, 2) d. ( 4 7 , 8 5 ) 37. An airplane travels 900 miles from Houston to Miami in 6 hours against the wind. On its return trip, with the wind, it takes only 5 hours. Find the rate of the airplane with no wind. Find the rate of the wind. a. The airplane flies at 155 mi/h with no wind. The rate of the wind is 135 mi/h. b. The airplane flies at 165 mi/h with no wind. The rate of the wind is 135 mi/h. c. The airplane flies at 155 mi/h with no wind. The rate of the wind is 15 mi/h. d. The airplane flies at 165 mi/h with no wind. The rate of the wind is 15 mi/h. 38. The sum of the digits of a two-digit number is 12. When the digits are reversed, the new number is 18 less than the original number. Find the original number. Check your answer. a. The original number is 75. b. The original number is 84. c. The original number is 57. d. The original number is 93. 39. The planet Mars has an average distance from the sun of about 141,600,000 miles. Write this number in scientific notation. a. 14.16 × 10 b. 1.416 × 10 7 c. 1.416 × 10 8 d. 0.1416 × 10 40. Simplify . a. b. c. d.
41. Simplify . a. − b. − c. – d. − 42. Simplify . a. b. c. d. 43. Simplify the expression . a. 29 b. 9 c. 13 d. 10 44. Multiply. a. b. c. d. 45. Multiply. a. b. c. d. 46. Factor by grouping. a. b. c. d. 47. Factor . a. b. c. d. 48. Determine whether is a difference of two squares. If so, factor it. If not, explain why. a. b. c. d. Not a difference of squares because –49n 4 is not a perfect square. 49. Factor completely. a. b. c. d. 50. Solve the quadratic equation by factoring. a. –4 and 2 b. 4 and 2 c. –4 and –2 d. 4 and –2 51. Solve 64x 2 – 121 = 0 by using square roots. a. ± 11 8 b. ± 64 121 c. No solution d. ± 8 11 52. Solve by completing the square. a. The solution is –5. b. There is no solution. c. The solutions are –1 and 5. d. The solutions are –1 and –5. 53. Solve by using the Quadratic Formula. a. x = 9 or x = −1 b. x = 1 or x = −9 c. x = 54 or x = −46 d. x = 18 or x = −2
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Algebra 1 Spring Final Study Guide

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