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SECTION 1.1, STUDY SET VOCABULARY 15. Construct a line graph using the data in the table. Fill in the blanks. 1. A sum is the result of an addition. A difference is the result of a subtraction. A product is the result of a multiplication. A quotient is the result of a division. 2. Variables are letters that stand for numbers. 3. A number, such as 8, is called a constant because it does not change. 4. Variables and numbers can be combined with the operations of addition, subtraction, multiplication, and division to create algebraic expressions. 5. An equation is a mathematical sentence that contains an = symbol. An algebraic expression does not. 6. An equation such as c = 10m, which expresses a relationship between two or more variables, is called a formula. 7. The horizontal axis of a graph extends left and right and the vertical axis extends up and down. 8. The word algebra comes from the title of a book written by an Arabian mathematician around A. D. 800. 16. Use the data in the graph to complete the table. Minutes 0 5 10 15 20 Depth (feet) 500 400 300 200 100 NOTATION Fill in the blanks. 17. The symbol ≠ means is not equal to . 18. The symbols ( ) are called parentheses . 19. Write the multiplication 5 6 using a raised dot and then using parentheses. 5 6 , 5(6) 20. Give four verbs that can be represented by CONCEPTS an equal symbol =. is, are, gives, yields Classify each item as an algebraic expression or an equation. Write each expression without using a multiplication symbol or parentheses. 21. 22. 23. 24. 9. a. Equation b. Algebraic expression 10. a. Algebraic expression b. Equation 4x Prt 2w xy Write each division using a fraction bar. 11. a. Algebraic expression 32 x 90 26. 30 55 27. 5 h 28. 15 . b. Equation 25. 12. a. Equation b. Algebraic expression 13. Addition, multiplication, division t 14. Subtraction and multiplication y -1- Section 1.1, An Introduction to Algebra Full file at http://testbankcart.eu/Solution-Manual-for-Elementary-Algebra-5th-Edition-by-Tussy Use the formula to complete each table. GUIDED PRACTICE 29. ACCOUNTING 15-year-old machinery is worth $35,000. 30. ACCOUNTING 35-year-old machinery is worth $15,000. 31. BUSINESS 53. d 360 L Lunch Time (minutes) L School Day (minutes) d d d d d d d d d d 30 30 customers, $250 32. BUSINESS 70 customers, $450 40 45 Express each statement using one of the words sum, product, difference, or quotient. 54. b 1,024k 33. The product of 8 and 2 equals 16. Kilobytes k 34. The product of 45 and 12 equals 540. 35. The difference of 11 and 9 equals 2. 1 36. The sum of 65 and 89 equals 154. 5 37. The sum of x and 2 equals 10. 10 Bytes b b 1,024 b 5,120 b 10, 240 38. The difference of 16 and t equals 4. 55. t 1,500 d 39. The quotient of 66 and 11 equals 6. Deductions d 40. The quotient of 12 and 3 equals 4. 200 Translate each verbal model into an equation. (Answers may vary, depending on the variables chosen.) 41. p 100 d 300 42. c m 7 43. 7 d h 400 y 100 45. s 3c 44. c 56. w s 12 12 24 72 49. p r 600 57. d 50. d 3r l 51. m 4 52. t 35 c Take-home pay t t 1,500 d t 1,500 200 t = 1, 300 t 1,500 d t 1,500 300 t = 1, 200 t 1,500 d t 1,500 400 t = 1,100 Inches of snow s c 46. w 10 47. w e 1, 200 48. n 150 c Inches of water w w 1 w2 w6 e 12 Eggs e Dozens d 24 36 48 2 3 4 58. p 2 c Section 1.1, An Introduction to Algebra 360 L 360 30 390 360 L 360 40 400 360 L 360 45 405 -2- Full file at http://testbankcart.eu/Solution-Manual-for-Elementary-Algebra-5th-Edition-by-Tussy 59. I 2 c TRAFFIC SAFETY GRAPH Couples c Individuals I 20 100 200 40 200 400 60. t p 5 APPLICATIONS 61. EXERCISE a. The number of calories burned is the product of 3 and the number of minutes cleaning. WRITING 63-66. Answers will vary. CHALLENGE PROBLEMS 67. Complete formula. b. c = 3m c. m c 10 30 t 3 s+ 1 20 60 30 90 40 120 50 150 60 180 d. s t 18 33 47 100 142 55 68. h 4n and n 2 g h 4n h 4(2 g ) h 8 g 62. TRAFFIC SAFETY Angle 1 0 15 30 45 60 75 90 Angle 2 2 90 1 2 = 90 2 90 1 2 = 75 2 90 1 2 = 60 2 90 1 2 = 45 2 90 1 2 = 30 2 90 1 2 = 15 2 90 1 2=0 -3- Section 1.1, An Introduction to Algebra Full file at http://testbankcart.eu/Solution-Manual-for-Elementary-Algebra-5th-Edition-by-Tussy