Winter Break Packet Honors Show ALL WORK DUE JANUARY 5, 2015 Name: Date: xozgimc5 1. Simplify 27 3 + 4 2 3 2 using the correct order of operations. 1. 2. Simplify: 10 3(5 2) 2. 3. In order to find 4 5 of 3 7, you would: 3. A. add, 4 5 + 3 7 B. multiply, 4 5 3 7 C. subtract, 4 5 3 7 D. divide, 4 5 3 7 4. Simplify: 1.8 2.08 4. 5. Simplify: 8 2 3 + 4 1 6 5. page 1
6. Simplify: 5.9 ( 3.8) 6. 7. Simplify: 1 4 7 7. 8. Simplify: 8. 18 3 9. Evaluate: 11c + 5a 8 for a = 4 and c = 6 9. 10. This afternoon s temperature in Edmonton was 3 C. The weather report predicts that the temperature will fall by 10 during the night. If that happens, what will be tonight s low temperature? 10. 11. In a ring toss game, if the ring lands in the red area, the player receives 5 points. If the ring lands in the blue area, the player loses 2 points. How many points did Tina have if her rings landed in the blue area, then the red area, and then the blue area? 11. Show ALL WORK page 2 Winter Break Packet Honors
12. On Monday a stock sold for $12 a share at closing. On Tuesday, the selling price for the stock was down $3 a share at closing. On Wednesday the price of the stock at closing was up $1 from Tuesday. What was the price of the stock at closing on Wednesday? 12. 13. Louisa is working hard to lose weight. This week, she lost 2.1 pounds. If she continues to lose at the same rate, about how much will her weight change in six weeks? 13. 14. Bryan was stopped and weighed on a public scale at 15 2 3 tons. Just 3 miles down the road he was stopped by a truck inspector and weighed on a portable scale at 16 1 4 tons. Assuming the public scale was accurate, the portable scale was off by. 14. 15. Write an equation that represents the following: Five times a number plus eight equals 28. 15. 16. Write an equation that represents the following statement. 16. Three more than twice k is thirteen. Show ALL WORK page 3 Winter Break Packet Honors
17. Determine which selection is equivalent to 4(3x + 4) = 16. 17. A. 7x + 4 = 16 B. 12x + 4 = 16 C. 12x + 16 = 16 D. 84x = 16 18. Solve for n: 121 + n = 84 18. 19. Solve: 4x = 3 4 19. 3 20. Solve: 5x = 15 20. 21. What is the value of x in the following equation? 21. 2x + 10 = 20 22. What is the value of x in the following equation? 22. 4x + 10 = 70 Show ALL WORK page 4 Winter Break Packet Honors
23. Solve: n 13 = 2 23. 24. Find the circumference of the circle rounded to the nearest whole number. [Use π 3.14] 24. 25. The drawing shows a circle inside of a square. 25. If the perimeter of the square is 40, what is the circumference of the circle? Show ALL WORK page 5 Winter Break Packet Honors
26. A 2-ft wide window consists of a 5 foot by 2 foot rectangle with a semicircle on top as shown in the diagram. Find the total area of the window. [Use π 3.14] 26. 27. The radius of a circle is 6.3 yards. What is the measure of the diameter? 27. 28. A helicopter s rotor sweeps out an area of 121π square meters. What is the diameter of the rotor? 28. 29. The area of a circle is 144π square units. What is the radius of the circle? 29. 30. What is the approximate diameter of a circle whose area is 28.26? (Use π = 3.14) 30. Show ALL WORK page 6 Winter Break Packet Honors
31. Which decimal is equal to 4 5? 31. A. 0.08 B. 0.40 C. 0.45 D. 0.80 32. 3.51 + ( 5.8) = 32. 33. 4 1.25 = 33. 34. Evaluate: 4p + z for p = 5 and z = 6 34. 35. Find the difference: 15.41 3.2 35. 36. Find the difference: 7 10 1 2 36. 37. Find the product: 3.6 0.4 37. Show ALL WORK page 7 Winter Break Packet Honors
38. Which of the following is equivalent to 2(5x + 6) = 29? 38. A. 7x + 8 = 29 B. 10x + 6 = 29 C. 10x + 12 = 29 D. 22x = 29 39. Solve: 5b = 65 39. 40. Solve: 5y = 2 5 40. 41. Solve: j 0.45 = 0.9 41. 42. Solve: 15j + 2 = 14 42. 43. Solve: 6(2x 5) = 54 43. Show ALL WORK page 8 Winter Break Packet Honors
44. What is the result after solving the equation 2(11x 4) = 58? 44. 45. Solve for n: 8 = n 3 + 5 45. 46. The West End Soccer Club is headed home from a weekend tournament. The members are in two different buses. Bus A travels at an average speed of 50 mph and makes no stops. Bus B goes 58 mph and has to make a 10-minute stop for fuel. If the trip home is 330 miles, which bus is the first to arrive, and by how many minutes? 46. 47. The city set up two different pumps to remove water from the flooded basements of two buildings. Pump A removed the water at a rate of 40 gallons per minute but the pump was turned off for 15 minutes in order to replace the hose. Pump B removed the water at a rate of 32 gallons per minute. 47. If each pump must remove 12,000 gallons of water, which pump finishes first (and by how many minutes)? Show ALL WORK page 9 Winter Break Packet Honors
48. The relationship of degrees Fahrenheit (F) temperatures to degrees Celsius (C) temperatures is C = 5 9 ( F 32). 48. a) If the temperature is 32 F, what is the temperature in degrees Celsius? Show your work. b) If the temperature is 35 C, what is the temperature in degrees Fahrenheit? Show your work. 49. Look at this equation: 49. 5n + 2 = 22 Make up a real-life situation that could be represented by the equation. Solve the equation. What does your answer mean in the context of the real-life situation? 50. Meggan rented scaffolding in order to paint her two-story house. The cost of the scaffolding is $55.00 plus $5.75 per day (including the first day). Meggan s total bill was $124.00. 50. a) Write an equation to solve for the total amount of days, d, Meggan rented the scaffolding, based on the total cost, C, of the equipment. b) Meggan s friend, Carlos, rented the same equipment for 21 days. What was Carlos total bill? c) Meggan then found another equipment rental outfit that would rent the same equipment for $35.00 plus $7.75 per day (including the first day). Would this second company have been cheaper for Meggan? Show ALL WORK page 10 Winter Break Packet Honors
51. Solve: 2 = 5j 28 51. 52. If 3 5n + 3 = 18, what is the value of n? 52. 53. If 2 5 c 1 3 = 5 3, then c =. 53. 54. If 5 2 x + 3 5 = 3 10, then x =. 54. 55. Given: 4x + 7 = y, solve for x if y = 15 55. 56. Given: 3x + 11 = y, solve for x if y = 29 56. 57. Solve: 14m 6m 9 = 39 57. Show ALL WORK page 11 Winter Break Packet Honors
58. Solve: 12x ( 5) = 43 58. 59. Find the solution: 3(4x 3) = 99 59. 60. Determine the solution to 8(3x 5) = 80 60. Show ALL WORK page 12 Winter Break Packet Honors
Problem-Attic format version 4.4.218 c 2011 2014 EducAide Software Licensed for use by Mr Betrand Terms of Use at www.problem-attic.com Show ALL WORK Winter Break Packet Honors DUE JANUARY 5, 2015 12/19/2014 1. 42 7.NS.03 2. 1 7.NS.03 3. B 7.NS.03 4. 0.28 7.NS.03 5. 4 1 2 7.NS.03 6. 2.1 7.NS.03 7. 1 28 7.NS.03 8. 6 7.NS.03 9. 10. 54 7.NS.03 7 C 7.NS.03 11. 1 7.NS.03 12. $10 7.NS.03 13. 14. 12 pounds 7.NS.03 7 12 ton 7.NS.03 15. 5x + 8 = 28 16. 2k + 3 = 13 17. 18. C n = 37 19. 3 16 20. 25 21. 5 22. 15 23. 24. 25. 26 31 in. 7.G.04 10π 7.G.04 26. 11.57 ft 2 7.G.04 27. 12.6 yd 7.G.04
Teacher s Key Page 2 28. 22 meters 7.G.04 29. 12 7.G.04 30. 6 7.G.04 31. D 7.NS.02D 32. 9.31 7.NS.01D 33. 3.2 7.NS.03 34. 14 7.NS.03 35. 12.21 7.NS.03 36. 1 5 7.NS.03 37. 1.44 7.NS.03 38. C 39. 13 40. 2 25 41. 0.405 42. 4 5 43. x = 7 44. x = 3 45. n = 9 46. 47. 48. Bus B by 45 min Pump A by 60 minutes 0 C; 95 F 49. [answers vary]; n = 4 50. 51. 6 52. 25 53. 5 54. 3 25 55. 2 56. 6 57. 6 58. [answers vary]; $175.75; no x = 4
Teacher s Key Page 3 59. x = 9 60. x = 5