Download Unit 10 NCP 510 Worksheet

NCP 510 Worksheet CRS SKILL Numbers: Concepts & Properties NCP 510 Name_________________________________________ Period____________ LEVEL DESCRIPTION Level 1 – ALL students must attain NCP 404 Exhibit knowledge of elementary number mastery at this level concepts including absolute value and *operations with signed numbers Level 2 – MOST students will *NCP 510 Work with positive/negative numbers attain mastery of the focus skill in isolation . Level 3 – SOME students will attain mastery of focus skill with other skills Level 4 – SOME students will attain mastery of focus topics covered in a more abstract way Level 5 – FEW students will attain NCP 603 Apply number properties involving mastery of the extension skill. positive/negative numbers Level 1 1. Calculate each of the following. (Without a calculator) a. -­‐14 -­‐ 6 = b. 17(-­‐4) = c. 32 ÷ (-­‐4) = d. 6 + (-­‐8) = e. 81 ÷ (-­‐9) = f. 14 -­‐ (-­‐7) + (-­‐2) = 2. Calculate each of the following. (Without a calculator) a. 2 + -­‐2(42 -­‐ 7) = b. -­‐7 + 4(-­‐15 ÷ 3)2 c. 5 • (-­‐2) + (22 + -­‐3 • 5) -­‐ (-­‐7.82) = d. 33 + (-­‐32) ÷ 22 • 3 + (-­‐8) = e. -­‐7(24 -­‐ 16) + 33 = f. 2(-­‐5) + 12 -­‐ (-­‐7) = 35 – 6 + 9 1 3. Calculate each of the following. (Without a calculator) a. 22 b. − 18 c. − 6 + 3 d. 17 − − 5 e. − 20 * − 3 f. −
21
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g. 8 * 3 − 9 h. − 4 * − 6 * 2 i. − 12 + 5 − − 9 Level 2 4. Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations? 5. In Buffalo, New York, the temperature was −14 F in the morning. If the temperature dropped 7 F what is the temperature now? 6. A submarine was situated 800 feet below sea level. If it ascends (rises) 250 feet, what is its position? 7. Maggie owes the candy store $35. Each of 5 friends will pay and equal amount of her debt. How much will each friend pay? 8. A submarine was situated 450 feet below sea level. If it descends (drops) 300 feet, what is its new position? 2 9. In the Sahara Desert one day it was 136°F. In the Gobi Desert a temperature of -­‐50°F was recorded. What is the difference between these two temperatures? 10. The Punic Wars began in 246 B.C. and ended in 146 B.C. How long did the Punic Wars last? 11. Metal mercury at room temperature is a liquid. Its melting point is -­‐39°C. The freezing point of alcohol is 114°C. How much warmer is the melting point of mercury than the freezing point of alcohol? 12. Determine the difference in altitude between Death Valley (86 meters below sea level) and the summit of Mount St. Helens (2,549 meters above sea level). 13. Determine the difference in altitude between Long Beach, California (7 feet below sea level) and Denver, Colorado (5130 feet above sea level). 14. On July 29th, 2008, Russian mini-­‐submarines, Mir-­‐1 and Mir-­‐2, descended 5500 feet to the bottom of Siberia’s Lake Baikal. The Concorde airplane, retired on November 26, 2003 rapidly climbed to an altitude of 60,000 feet a very short time in some of its flights. What is the distance between the descent of Mir-­‐1 and Mir-­‐2 and the altitude of Concorde? 3 15. Determine the difference in altitude between New Orleans, Louisiana (8 feet below sea level and Rapid City, South Dakota (3202 feet above sea level). 16. The lowest point in the Dominican Republic is Lago Enriquillo at 46 meters below sea level. The highest point in that country is Pico Duarte at 3175 meters. Determine the difference between the lowest point and the highest point in the 17. Roman Civilization began in 509 B.C. and ended in 476 A.D. How long did Roman Civilization last? 18. The lowest point in the Egypt is Qattara Depression at 133 meters below sea level. The highest point in that country is Mount Catherine at 2629 meters. Determine the difference between the lowest point and the highest point in Egypt. Level 3 19. If a store made a profit of $23.50 on Monday, lost $2.05 on Tuesday, lost $5.03 on Wednesday, made a profit of $30.10 on Thursday, and made a profit of $41.25 on Friday, what is the total profit (or loss) for the week? Use + for profit and – for loss. 20. I am thinking of a number. The absolute value of the number is 19. The number is not equal to its absolute value. What number am I thinking of? 4 21. I am thinking of a number. I do not have to take an opposite to find the absolute value of the number. The absolute value of the number is 451. What number am I thinking of? 22. What is the net profit for this business? Expenditure $ Income $ Office expenses $600 Cost of materials $3,500 Sales $12,000 Marketing costs $1,200 Premises costs $5,200 23. By how much are these home owners in negative equity? a. They bought their house for $220,000 and owe $210,000 of this. The house is currently worth $180,000. b. They bought their house for $180,000 and owe$175,000 of this. The house is currently worth $150,000. Level 4 24. Complete the table and then graph the function below. Y = 2X X value -­‐5 -­‐3 0 3 5 5 Y value 25. Complete the table and then graph the function below. −1
Y=
X 3
X value 9 -­‐3 0 3 9 Y value 26. Carlos solved the following problem “I am thinking of a number. When I subtract ten from the number then take the absolute value of that number I get 15. What is the number?” Carlos got an answer of 25. Carlos then met with his table partner, Janet. Janet said that she got two numbers for his answer. Who is correct? If Janet is correct, what other number did Janet get for an answer? 27. Giana solved the following problem “I am thinking of a number. When I subtract three from the number then take the absolute value of that number I get -­‐8.. Giana, then met with her table partner, Maribel. Maribel said there is no answer. If Maribel is correct explain why, if not what is/are the possible numbers that Giana was thinking of? 28. Carson solved the following problem “I am thinking of a number. When I multiply the number by three then take the absolute value of that number I get 120. What is the number?” Carson got an answer of -­‐40. Charles said that he got two numbers for his answer. Who is correct? If Charles is correct, what other number did he get for an answer? Level 5 29. What is the least possible value of of xy if − 10 ≤ x ≤ − 2 and − 7 ≤ y ≤ 9? 30. What is the greatest possible value of of x − 2y if − 8 ≤ x ≤ 4 and − 8 ≤ y ≤ 5? 6 31. If the product of x and y is negative, then what must be true about y if x > 0? 32. If a and b are real numbers and a > 0 and b > a, would the sum of a + b be positive or negative? Review Plot the following points on the coordinate grid.
33. Point
A: (–3,–6)
34. Point
B: (1,–6)
35. Point
C: (–3,8)
36. Point
D: (–8,8)
37. Imagine that you are driving your car in Canada. As you're driving along, you notice that the speed limit signs have numbers like 120 (on the highway) and 50 (in the city). As you start to speed up, you realize that the signs are in km/hour. Unfortunately, your speedometer only reads in mi/hour. Figure out how fast you're allowed to go if the sign says: a. 120 km/hr 7 b. 75 km/hr c. 50 km/hr 38. Convert the following quantities. a. 565,900 seconds into days b. 17 years into minutes c. 43 miles into feet d. 721 lbs per week into kg per second e. 88 inches per second into miles per day 8 f. 12080 gallons per month into liters per hour g. 27 miles per gallon into kilometers per liter