Algebra 1 Chapter 1 Test Review
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1 Algebra 1 Chapter 1 Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which expression shows 3 less than x? A. B. 3x C. D. 6. Which is a correct verbal expression for? A. n more than 9 B. the quotient of 9 and n C. the product of 9 and n D. 9 less than n 2. Which of the following equations has NO solution? A. B. C. D. 3. Choose the most precise measurement. A. 8 ml B. 12 ml C. 1 ml D ml 4. Choose the most precise measurement. A. 3 mi B. 5 yd C. 36 in. D. 2 ft 5. Sarah drives 55 mi/h for h hours. Which expression shows the number of miles that Sarah drove? A. 55h B. Short Answer 10. Solve. 11. Solve. 12. Solve. 7. Which equation represents the relationship 3 more than a number is 7? A. B. C. D. 8. Every dimension of a 2 cm by 3 cm rectangle is tripled to form a similar rectangle. Which is equal to the ratio of the perimeters? A. the ratio of the corresponding sides B. the cube of the ratio of the corresponding sides 9. Choose the more precise measurement in the pair. A. 6.7 mi B. 6 mi 19. A cable company charges $75 for installation plus $20 per month. Another cable company offers free installation but charges $35 per month. For how many months of cable service would the total cost from either company be the same? 20. Solve for l. 13. Solve. 21. Solve for b. 14. Solve. 15. Solve. 16. A bike rental company charges a $4.00 rental fee plus $2.00 per hour. Selena paid $12.00 to rent a bike. How long did Selena rent the bike for? 17. Solve. 18. Solve. 22. Solve. 23. One week, the ratio of pounds of apples to pounds of oranges sold at a market was 3:8. Twelve pounds of apples were sold. How many pounds of oranges were sold? 24. Solve Find the value of n to the nearest tenth.
2 32. Solve. 33. Solve. 34. Solve. 26. A 14-foot tree casts an 8-foot shadow. At the same time, a nearby flagpole casts a 10-foot shadow. How tall is the flagpole? 27. A deer stand casts a shadow 15 feet long at the same time that a 4-foot-tall shrub casts a shadow that is 6 feet long. How tall is the deer stand? 28. Last Saturday it rained 3 inches. The reading from four rain gauges is shown in the table. Which rain gauge is the most precise? Rain Gauge Rain (in.) Last Saturday it rained 3 inches. The reading from four rain gauges is shown in the table. Which rain gauge is the most accurate? Rain Gauge Rain (in.) Cups are being manufactured for a set. The diameter of the mouth of the cup must be 5 in in. A sample of cups have the diameters shown in the table. Which cup is not within the specified tolerance? Cup Diameter (in.) A 4.90 B 5.00 C 5.03 D Evaluate for and. 35. Solve. 36. The product of 9 and n is. What is the value of n? 37. Solve. 38. Solve. 39. Solve. 40. Yoga Fun charges a $63 starting fee plus $12 per class. Yoga For All charges no starting fee and $15 per class. For how many classes will the cost be the same at both places? 41. Solve. 42. Solve for R. 43. Solve for y. 44. Solve. 45. Solve. 46. Nina can braid 48 inches of rope in 1 hour. What is her speed in feet per hour? 47. Solve. 48. The ratio of boys to girls in Art class is 1:2. There are 12 girls in the class. How many boys are there? 49. Kris is 2 meters tall and casts a shadow 4 meters long. At the same time, a tree casts a shadow 10 meters long. How tall is the tree? 50.. Find x.
3 61. Write an equation to represent the relationship the product of 7 and a number is 28. Then solve the equation. 62. Solve the equation. 63. Solve the equation. 51. A frame shop must make frames with a length of cm 0.1 cm. Three frames have the lengths shown in the table. Which frame is not within the specified tolerance? Frame Length (cm) Write the possible range for the measurement 10 g 10%. Round to the nearest hundredth if necessary. 53. Juan bought n video games. Write an expression to show the total cost of the games if each game cost $ Write two verbal expressions for 2d. 55. Evaluate pq for and. 56. Solve the equation. 57. Solve the equation. 58. Write an equation to represent the relationship a number decreased by 12 is equal to 9. Then solve the equation. 59. Solve the equation. 60. Solve the equation. 64. A car detailing company charges $30 plus $18 per hour. Another company charges $25 plus $20 per hour. How long is a job that costs the same no matter which company is used? 65. Solve the equation. 66. Solve the equation. 67. Solve for M. 68. Solve for y. 69. A train travels 120 miles in one hour. What is its speed in miles per minute? 70. What is the solution to? 71. What is the solution to? 72. Solve. 73. The ratio of the sale price of a textbook to the original price is 1:3. The original price is $81. What is the sale price? 74. A rectangle has a length of 5 cm and a width of 4 cm. Every dimension is tripled to form a similar rectangle. What is the ratio of the perimeters of the two rectangles?
4 75. Shayla is 5 feet tall and casts a shadow 2 feet long. At the same time, a nearby lamppost casts a shadow 8 feet long. Write and solve a proportion to find the height of the lamppost. 76. Find the value of x in the diagram. 77. Find the value of x in the diagram. 78. Choose the more precise measurement in the pair. 6 ml; 0.6 ml 79. Choose the more precise measurement in the pair. 180 cm; 21 m 80. Three students weigh a 21.5 g iron sample in a Chemistry lab. Which student was the most precise? Student Weight (mg) Cameron Noah 22 Makayla Three students weigh a 21.5 g iron sample in a Chemistry lab. Which student was the most accurate? Student Weight (mg) Cameron Noah 22 Makayla Write the possible range of the measurement: 220 km 5%.
5 Algebra 1 Chapter 1 Test Review Answer Section MULTIPLE CHOICE 1. C 2. C 3. D 4. C 5. A 6. A 7. B 8. A 9. A SHORT ANSWER h , ft ft 28. Gauge Gauge Cup A
6 no solution , 45. 5, ft/h m Frame g g Possible answers: The product of 2 and d. or 2 multiplied by d x= ; ; h all real numbers mi/min , 71., $ ; 20 ft in.
7 ml cm 80. Cameron 81. Makayla km 231 km
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