Section 1.2 Operations with Real Numbers and Algebraic Expressions 29 Method 1: Enter the numerical expression that results after replacing the variable with its given value. Method 2: To evaluate an expression for multiple values, we can use the equation editor and table feature. We enter the expression to be evaluated in the equation editor. In the table, the number in the Y1 column represents the value of the expression for the corresponding x-value. Y= X,T,u,n x2 2 3 X,T,u,n + 4 2nd GRAPH SECTION 1.2 EXERCISE SET Write About It! Use complete sentences in your answer to each exercise. 1. Explain how to add two real numbers with the same sign. 2. Explain how to add real numbers with different signs. 3. Suppose a number is raised to the nth. What does this mean? 4. Explain the order of operations needed to simplify an expression with multiplication, division, addition, and subtraction. 5. Write two phrases for the mathematical expression, 73. 6. Write two phrases for the mathematical expression, 122. 7. If m represents Alan’s monthly income and x represents Alan’s monthly expenditures, then a. What expression represents Alan’s balance at the end of the month? b. What must be true about the values of m and x if Alan is in debt at the end of the month? 8. In Exercise 7, what must be true about the values of m and x if Alan has a surplus at the end of the month? Practice Makes Perfect! Perform the indicated operation. (See Objective 1.) 9. −12 + (−3) 10. −5 + (−10) 11. −7 + (−2) 12. −9 + (−7) 13. - 1 3 + a- 2 3 b 14. - 1 5 + a- 3 5 b 15. 6 + (−10) 16. 13 + (−14) 17. - 1 3 + 1 4 18. - 2 7 + 4 5 19. −4 − (−3) 20. −6 − (−11) 21. −2.3 − 6.2 22. −3.6 − 7.3 23. - 7 5 - a- 3 2 b 24. - 4 3 - a- 5 6 b Perform the indicated operation. (See Objective 2.) 25. 4(−3) 26. 8(−2) 27. (−5)(−6) 28. (−7)(−10) 29. a3 2 ba- 2 5 b 30. a2 3 ba- 3 7 b 31. a- 5 4 ba- 3 2 b 32. a- 4 3 ba- 2 7 b 33. (−6.1)(−10) 34. (4.1)(−2) 35. -14 7 36. 18 -6 37. -18 -9 38. -24 -6 39. 10 ÷ (-4) 40. 20 ÷ (-6) 41. 6 ÷ a- 1 3 b 42. -16 ÷ a- 1 4 b 43. -10 0 44. 12 0 Simplify each exponential expression. (See Objective 3.) 45. 43 46. 34 47. a5 4 b 2 48. a2 3 b 3 49. -112 50. -122 51. (-11)2 52. (-12)2 53. -53 54. -103
hendricks_intermediate_algebra_1e_ch1_3
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