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Math 7 Rational Numbers Take Home TEST 11/28/13 **Students may use their AVID notes, Textbook or any other additional resources to assist them with Completing this assignment on their own** Student Name ______________________________ I have checked my 7th graders take home test and it is complete with all work shown. Parent Signature_____________________________ Grade 7 Name: ___________________________ Rational Numbers TAKE HOME TEST Date: ____________________________ Directions: Show all work for the following problems. Calculators cannot be used on this test. ____ 1. Determine whether the decimal form of the rational number terminates or repeats. ____ 2. If a sheet of 100 stamps is 0.89 millimeters thick and you purchase 100,000,000 stamps, how many millimeters thick would the stack of sheets be? Write the answer in scientific notation. Graph each number on a number line. ____ 3. 1.75 1 ____ 4. 1 4 Find a fraction equivalent to the given fraction. ____ 5. a. c. b. d. a. c. b. d. ____ 6. Write each number in scientific notation. ____ 7. 1,850 ____ 8. 0.00963 ____ 9. Determine whether is rational or irrational and list all other vocabulary words that apply. ____10. A high school basketball team attempted 566 three-point shots last season. They made 141 out of those shots. Using a decimal rounded to the nearest thousandth, show the team’s success rate for three-point shots. Tell whether the two given fractions are equivalent. ____ 11. ____12. ____13. Simplify the fraction . ____14. What are the two square roots of the number 25? ____15. Order the numbers from least to greatest. –0.447, –0.53, 1 2 Write each number in standard notation. ____16. 3.44 104 ____17. 4.7 108 ____18. Multiply, and simplify the answer. ____19. Add. –11 + (–40) ____20. Evaluate the following expression. ____21. Multiply. Write the product as one power. ____22. Which decimal is less than 0.69? ____23. Evaluate –36, for the given values. 40 ____24. Subtract. 46 22 ____ 25. Replace each with <, >, or = to make a true sentence. Show your work and explain your reasoning. ____ 26. Replace each with <, >, or = to make a true sentence. 2 Show your work and explain your reasoning. 2 ____27. Identify the quadrant that contains the point (1, –6). y 10 –10 10 x –10 ____28. Write the decimal –10.82 as a mixed number in simplest form. ____ 29. Order the set of numbers from least to greatest. ____ 30. Order the set of numbers from least to greatest. 0.32, , 3.40 x 101 0.45, 0.36, ____31. Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal. 1 ____32. Evaluate. 4 ____33. Write 5 9 as a decimal. ____34. The highest temperature recorded in the town of Westgate this summer was 99°F. Last winter, the lowest temperature recorded was –14°F. Find the difference between these extremes. 35. A) What are the key words? B) What is the function? C) What numbers are you using? D) What is the answer? Write answer as a fraction in simplest form. Mike stacked 3 books on his desk. The books were inch thick, inch thick and inch thick. How tall was the stack that she created? a c b d ____36. Classify as rational, irrational, or not a real number. EXPLAIN YOUR REASONING IN COMPLETE SENTENCES. a. Not a real number c. Irrational b. Rational 37. A) What are the key words? B) What is the function? C) What numbers are you using? D) What is the answer? On Tuesday, the temperature at dawn in Newport News is 20 During the day, it warms up 5 1 2 degrees. degrees. What is the new temperature? 3 4 A) What are the key words? B) What is the function? C) What numbers are you using? D) What is the answer? 38. 13 Write each ratio as a fraction in simplest form. Yesterday, Raphael walked 5 cream stand and 2 1 miles from the swimming pool to the ice 4 2 miles from the ice cream stand back home. How far did 3 Raphael walk in all? 1 3 2 4 ___39. Simplify ____ 40. Simplify –7 (–1 + 3). ____ 41. ____ 42. ____ 43. Divide. Write in simplest form. 2 3 ÷ 6 17 ____ 44. Identify the Property: 5(3 + 2) = (5 x 3) + (5 x 2) ____ 45. Multiply. ____ 46. Evaluate the power of 10 by extending the pattern in the table above. a. 0.000001 b. 0.00001 c. –60 d. 0.0000001 ___ 47. Complete a table of solutions for y = –2x – 3 for x = –2, –1, 0, 1, and 2. Plot the points on a coordinate plane.