algebra 1 gateway practice

Algebra I Gateway Practice For a few objectives… Click on the correct answer for each problem. Keep in mind that this review does NOT cover all of the Gateway objectives! 1. Simplify: c ∙ c ∙ c ∙ d ∙ d ∙ c ∙ d A. B. C. D. c4 d3 12cd 4c + 3d c4 + d3 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 2. Simplify: 2 ∙ a ∙ a ∙ a ∙ b ∙ a A. B. C. D. 2a + b 2a3 + b2 2a4 b 8ab3 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 3. Simplify: 3 ∙ f ∙ f ∙ (–2) ∙ f A. B. C. D. –6f3 3f – 2f –5f3 f6 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 4. Karen wants to fence in her rectangular garden plot. How much fence will she need if her garden measures 60 feet by 100 feet? A. B. C. D. 320 feet 160 feet 220 feet 600 feet No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 5. How much chain link fence will Bob need to enclose the rectangular lot shown in the drawing? 25’ 30’ A. B. C. D. 750 feet 55 feet 110 feet 7500 feet No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 6. Simplify: (2x + 1)(x – 5) A. B. C. D. 3x – 4 2x2 – 10x – 5 2x2 – 9x – 5 2x2 + 11x + 4 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 7. Simplify: (3x + 2)(4x – 1) A. B. C. D. 7x + 1 12x2 + 5x – 2 12x2 + 11x – 2 12x2 – 5x – 3 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 8. (4x + 5)(2x + 3) A. B. C. D. 6x + 8 8x2 + 15 6x2 + 26x + 15 8x2 + 22x + 15 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 9. Which of these lines has a 0 slope? A. B. C. D. No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 10. Which of these lines has a negative slope? A. B. C. D. No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 11. There are 15 glazed donuts and 9 crème-filled donuts in a box. Which of these is the correct ratio of glazed donuts to crème-filled donuts? A. B. C. D. 3 to 5 8 to 3 5 to 3 7 to 3 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 12. On an English test, 18 students received an A while 15 students received a B. What is the correct ratio of students receiving an A to students receiving a B? A. B. C. D. 5 to 6 3 to 2 4 to 3 6 to 5 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 13. A league has 780 players with 400 nine year-olds and the rest ten year-olds. What is the ratio of nine year-olds to ten year-olds? A. B. C. D. 39 to 20 20 to 19 39 to 19 9 to 10 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 14. A team played 28 games and lost 7. If there were no tie games, what is the correct ratio of wins to total games? A. B. C. D. 3 to 2 3 to 1 4 to 3 3 to 4 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 15. There are 1200 cars in a fleet and 640 are new cars. What is the ratio of new cars to old cars? A. B. C. D. 75 to 4 15 to 8 8 to 7 7 to 15 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 16. What is the circumference of a circular Frisbee with a radius of 14 inches? Give your answers in terms of π. A. B. C. D. 28 π in. 7 π in. 14 π in. 42 π in. No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 17. A CD has a radius of 3 cm. What is the area of the CD? (Round your answer to the nearest whole number.) A. B. C. D. 28 cm2 9 cm2 7 cm2 19 cm2 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 18. A pool is in a circular shape with a diameter of 17 feet. What is the circumference of the pool? (Round your answer to the nearest whole number.) A. 27 ft. B. 70 ft. C. 53 ft. D. 107 ft. No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 19. Katie is decorating a ceramic plate with a diameter of 12 inches. What is the area of the plate she must cover. Give your answer in terms of π. A. B. C. D. 24 π in.2 12 π in.2 144 π in.2 36 π in.2 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 20. What is the next number in the sequence below? 2, 3, 5, 8, 12, _____ A. B. C. D. 16 17 24 36 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 21. What is the next number in the sequence below? 1, 2, 4, 8, 16, _____ A. B. C. D. 18 20 256 32 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 22. What is the next number in the sequence below? 4, 9, 16, 25, 36, _____ A. B. C. D. 49 64 41 58 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 23. What is the next number in the sequence below? 4, 28, 196, 1372, _____ A. B. C. D. 2,744 5,488 9,604 10,976 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 24. What is the next number in the sequence below? 1, 3, 7, 15, 31, _____ A. B. C. D. 49 63 55 32 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 25. How many different sandwiches can Mike create from 2 kinds of bread 4 kinds of meat, and 3 different cheeses? A. 4! B. 2 + 4 + 3 C. 2 ∙ 4 ∙ 3 D. 2! 4! 3! No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 26. Janice is making a scrapbook of her vacation pictures. How many different ways can she arrange the pages if she has 14 pictures? A. B. C. D. 14! 14+13+12+11+10 14! 13! 14∙13∙12∙11∙10 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 27. 5 people entered a race. In how many different orders can they finish? A. B. C. D. 5∙4∙3 5+4+3+2+1 5! 4! 3! 2! 1! 5! No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 28. How many different valentines can Sheri make with 4 colors of background paper, 5 styles of hearts, and 12 different colored markers? A. B. C. D. 12! 5! 4! 4 ∙ 5 ∙ 12 12! 4 + 5 + 12 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 29. A scientist is studying soldier beetles in a field for 5 days. He saw the numbers of soldier beetles listed below on each of the 5 days. 10, 13, 6, 16, 25 What is the mean number of soldier beetles the scientist saw per day? A. 8 B. 14 C. 12 D. 17 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 30. Mr. Shaw is running for mayor. He received votes from the 6 districts in his city as listed below. 112, 243, 92, 189, 360, 96 What was the mean number of votes he received per district? A. 151 B. 1,092 C. 189 D. 182 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 31. Marcus gets a base hit 62.3% of the time. In 29 at-bats, estimate how many base hits he will make. A. B. C. D. 29 19 17 18 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 32. When Carrie attempts a three-point shot, she succeeds 49.2% of the time. If Carrie attempts 67 3-point shots, estimate how many times she will succeed. A. B. C. D. 33 67 35 49 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 33. Which of these functions generalizes the pattern in the table? x 2 4 6 A. B. C. D. f(x) = 3x + 6 f(x) = 6x – 2 f(x) = 5x + 2 f(x) = 6x f(x) 12 22 32 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 34. Which of these functions generalizes the pattern in the table? x 1 2 3 A. B. C. D. f(x) = x f(x) = 2x f(x) = 3x – 2 f(x) = 2x + 1 f(x) 1 4 7 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 35. Evaluate if x = 2. A. B. C. D. 6 11 65 –1 2 3x + 4x – 9, No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 36. Evaluate if x = –5. A. 0 B. –30 C. –10 D. 40 2 x – 4x – 5, No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 37. Evaluate x3 – 2x2 + 5x – 3, if x = –2. A. B. C. D. –29 –13 25 –12 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 38. Evaluate ¾ x2, given x = 2. A. B. C. D. 3 4 12.25 16 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 39. Evaluate ½ x = –4. 2, x given A. B. C. D. –4 –8 4 8 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 40. Solve 2(x – 5) = x – 1. A. B. C. D. 9 4 6 10 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 41. Solve 2(2 + x) – 3x = x + 10. A. B. C. D. –2 –3 3 6 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 42. Simplify A. 8 B. 8 C. 8 2 D. 32 64 . No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 43. Simplify A. B. C. D. 16 9 84 13 13 13 169 . No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 44. Which of these lists the correct order of operations to simplify the expression below? 2(3 + 4) – 6 ÷ 3 A. B. C. D. add, multiply, divide, subtract add, multiply, subtract, divide add, subtract, multiply, divide multiply, add, sbtract, divide No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 45. Which of these lists the correct order of operations to simplify the expression below? 8 + 3(9 – 2) ÷ 6 A. B. C. D. add, multiply, subtract, divide subtract, multiply, divide, add subtract, multiply, add, divide subtract, divide, multiply, add No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 46. What is the opposite of ¾ ? A. B. C. D. 4/3 –¾ –4/3 ¾ No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 47. What is the opposite of –3.75? A. B. C. D. 4 –4 3.75 –3.75 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 48. What is the reciprocal of ½? A. B. C. D. –½ 2 ½ –2 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 49. What is the reciprocal of 0.8? A. B. C. D. 4/5 8/5 –4/5 5/4 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 50. What is the absolute value of │–35 │? A. B. C. D. 35 –1/35 –35 1/35 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 51. Which of these sets of numbers is ordered from least to greatest? A. –3.2, –4.1, –5.6, –7.3, –8.5 B. –3.5, –3.1, –1.3, 2.3, 3.2 C. –5.2, –5, –4.3, –4.5, –4.7 D. –3.5, –3, 2.3, –2, 3.4 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 52. Which of these sets of numbers is in descending order? A. ¼ , ½, ¾ , 0, –¼, –½ , –¾ B. –¼ , –½ , –¾ , 0, ½, ¼, ¾ C. ¾ , ½, ¼, 0, –¼ , –½ , –¾ D. –¾ , –½ , –¼ , 0, ¼, ½, ¾ No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 53. Find the median of the following numbers. 15, 23, 8, 27, 13, 10, 18 A. B. C. D. 15.5 18 27 15 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 54. Find the median of the following numbers. 26, 31, 42, 53, 44, 28, 37, 40 A. B. C. D. 37 38.5 40 48.5 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 55. Find the mode of the following numbers. 23, 38, 26, 23, 39, 23, 26, 35, 23 A. B. C. D. 39 23 23 and 26 no mode No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 56. Find the mode of the following numbers. 102, 107, 111, 107, 115, 119, 111 A. B. C. D. 102 111 107 107 and 111 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 57. Larry is buying carpet for his new game room. If the room measures 35 feet by 45 feet, how much carpet does Larry need to buy? A. B. C. D. 160 feet2 1,575 feet2 80 feet2 6,300 feet2 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 58. What is the domain of the following set of ordered pairs? {(2, 5), (7, 11), (14, 19), (22, 38)} A. {2, 11, 14, 38} B. {2, 7, 14, 22} C. {5, 11, 19, 38} D. {2, 7, 19, 38} No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 59. Find the distance between the points (5, 11) and (–2, 8). A. B. C. D. 7.62 7.65 11.66 0 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 60. Find the missing side of a right triangle with a = 5 and c = 11. A. B. C. D. 9.8 3.31 12.08 7.99 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 61. Joe walks 2 miles due west and then 3 miles due south. How far is Joe from his starting point? A. B. C. D. 5 miles 1 mile 3.61 miles 3 miles No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 62. Evaluate 3x2 – 5y + 2z if x = –6, y = 4, and z = 8. A. B. C. D. –104 –112 1,270 104 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 63. Simplify: 5x – 3y + 11y – 19x A. B. C. D. –6xy 24x + 14y –14x + 8y –14x2 + 8y2 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 64. Simplify: 7(2x + 3) + 8(5x – 3). A. B. C. D. 105x 54x 45 17x + 37x 54x – 3 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 65. Simplify (5x2 – 8x + 3) – (11x2 + 2x – 19) A. B. C. D. 6x3 –6x2 – 10x + 22 16x2 – 6x – 16 –6x2 – 6x – 16 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 66. Which is the most expensive per pound? A. 5 lb for $7.23 B. 8 lb for $9.82 C. 11 lb for $11.45 D. 15 lb for $14.91 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 67. Find the slope of the line through the points (–5, 9) and (3, 14). A. B. C. D. 5/8 –19/6 8/5 –5/8 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 68. Which of these represents the average rate of change in the number of students between 1985 and 2000 per year? Year 1980 1985 1990 1995 2000 2004 # of Students 1,643 1,725 1,713 1,882 1,971 2,014 Answers choices on next slide. A. 2014 – 2004 1643 – 1980 B. 1971 – 1725 2000 – 1985 1725 – 1985 1971 – 2000 1971 – 2000 1725 – 1985 C. D. No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 69. Janet is making strawberry pie for dessert for a family reunion. She plans to slice the pies so that there are 6 slices per pie. If she plans to make enough for each person to have 2 slices of pie, how many pies should she make if there will be 25 people at the reunion? A. 8 B. 25 C. 9 D. 7 No, let’s try that again! Go Back Click the button below to move to the next question. Next Question 70. A boy 6 feet tall casts a 3.5 foot shadow. At the same time, a flag pole casts a 22 foot shadow. What is the height of the flag pole? A. B. C. D. 44 feet 0.95 feet 12.8 feet 37.71 feet No, let’s try that again! Go Back Click the button below to move to the next question. Next Question Congratulations! You are now finished! *** Remember, this is not all of the Gateway Objectives. Keep practicing!