3. 2 3 (6 - 2)2 - 1 3 2 4 3 ( 6 2 2 ) x2 2 1 4 3 ENTER ENTER MATH 1 4. 6 - 162 - 4(1)(5) 2(1) ( 6 2 2nd x2 6 x2 2 4 3 1 3 5 ) ) 4 ( 2 3 1 ) ENTER 5. u9 - 4(5 - 3)u MATH ) 1 9 2 4 ( 5 2 3 ) ) ENTER �� ���������������� �������� EXERCISE SET Write About It! Use complete sentences in your answers to the following exercises. 1. Explain how to apply the order of operations to simplify numerical expressions. 2. How does a numerical expression differ from an algebraic expression? 3. Explain how to apply the order of operations to simplify the expressions (4 + 3)2 and 42 + 32. 4. Explain how to apply the order of operations to simplify the expressions 6 + 4 3 + 2 and 6 3 + 4 2 . 5. Explain what it means to evaluate an algebraic expression. 6. What is the first step in translating phrases into algebraic expressions? 7. Explain how to translate an English phrase involving “more than” into an algebraic expression. 8. Explain how to translate an English phrase involving “subtracted from” into an algebraic expression. Determine if the statement is true or false. If false, explain the error. 9. The phrase “four less than three times a number” can be translated into 4 – 3x. 10. When the expression x2 - 2x is evaluated for x = -4, the result is -8. Practice Makes Perfect! Identify the base, the exponent, and then evaluate the expression. (See Objective 1.) 11. 44 12. 54 13. -33 14. -73 15. 2.53 16. 1.23 17. -0.63 18. -0.53 19. -a3 5 b 2 20. -a4 7 b 2 21. a2 3 b 5 22. a1 4 b 3 Use the order of operations to simplify each expression. (See Objective 2.) 23. 5 + 4(3) 24. 6 + 2(10) 25. 4(7) - (3)(2) 26. 11(4) - (7)(5) 27. 12 · 4 ÷ 8 - 2 · 2 28. 21 · 4 ÷ 6 - 5 · 2 29. 1 7 (6 - 4)3 - 2 5 30. 1 4 (8 - 5)3 - 5 2 31. 16 - 11 5 - 1 32. 5 + 2 4 - 1 33. 2(4)2 - 5(4) + 7 34. 5(2)2 + 4(2) - 1 35. 4 · 32 - 5 · 3 + 1 36. 6 · 52 - 7 · 5 + 2 37. (4 · 2)2 - 8 ÷ 2 · 7 38. (2 · 3)2 - 4 · 2 ÷ 8 + 3 39. (5)2 - 4(2)(3) 40. 3 · 72 - 4(5)(6) 41. 244 - 2u35 - 5(6 - 2)u 42. 518 - 6u14 - 2(9 - 3)u 13 - 1132 - 4(4)(9) 43. 2 · 9 44. 10 - 1102 - 4(2)(8) 2 · 8 Evaluate each expression for the specifi ed values of x. Organize the information in a chart. (See Objective 3.) 45. 3x + 2 for x = 0, 1 3 , 2, and 4 46. 4x + 1 for x = 1 4 , 1, 2, and 4 47. 3x - 2 x for x = 1, 2, 3, and 4 38 Chapter 1 Real Numbers and Algebraic Expressions
hendricks_beginning_algebra_1e_ch1_3
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