By Cynthia Y. Young

The hot third variation of Cynthia Young's *Algebra & Trigonometry* maintains to bridge the space among in-class paintings and homework via assisting readers conquer universal studying boundaries and construct self assurance of their skill to do mathematics. The textual content positive factors actually detailed, powerful pedagogy and is written in a transparent, unmarried voice that speaks on to scholars and mirrors how teachers speak in lectures. during this revision, younger permits readers to turn into self sustaining, winning newbies by means of together with hundreds and hundreds of extra routines, extra possibilities to take advantage of expertise, and a brand new themed modeling venture that empowers them to use what they've got realized within the lecture room to the realm outdoors the classroom. The seamlessly built-in electronic and print assets to accompany *Algebra & Trigonometry 3e *offer extra instruments to aid clients adventure luck.

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238473 16. qxd 16 8/7/12 5:34 PM Page 16 C H A P T E R 0 Prerequisites and Review In Exercises 17–40, perform the indicated operations in the correct order. 17. 5 ϩ 2 # 3 Ϫ 7 21. 2 Ϫ 3[4(2 # 3 ϩ 5)] 18. 2 ϩ 5 # 4 ϩ 3 # 6 22. 4 # 6(5 Ϫ 9) 19. 2 # (5 ϩ 7 # 4 Ϫ 20) 20. Ϫ3 # (2 ϩ 7) ϩ 8 # (7 Ϫ 2 # 1) 23. 8 Ϫ (Ϫ2) ϩ 7 24. Ϫ10 Ϫ (Ϫ9) 28. Ϫa ϩ b Ϫ(Ϫc) 25. Ϫ3 Ϫ (Ϫ6) 26. Ϫ5 ϩ 2 Ϫ (Ϫ3) 27. x Ϫ (Ϫy) Ϫ z 29. Ϫ(3x ϩ y) 30. Ϫ(4a Ϫ 2b) 31. 33. Ϫ4 Ϫ6 [(5 Ϫ 8)(4)] 34. 37. Ϫ(3 Ϫ 4x) Ϫ (4x ϩ 7) 38. 2 Ϫ 3[(4x Ϫ 5) Ϫ 3x Ϫ 7] - 14 5 - (- 2) -3 (5)(- 1) 32.

Simplification of radicals and rationalization of denominators will be reviewed. Basic operations such as addition, subtraction, and multiplication of polynomials will be discussed followed by a review of how to factor polynomials. Rational expressions will be discussed and a brief overview of solving simple algebraic equations will be given. After reviewing all of these aspects of real numbers, this chapter will conclude with a review of complex numbers. 2 LEARNING OBJECTIVES ■ ■ ■ ■ ■ ■ ■ Understand that rational and irrational numbers together constitute the real numbers.

75. S. Debt. If the debt is distributed evenly to all citizens, what is the national debt per citizen? Round your answer to the nearest dollar. 76. S. Debt. If the debt is distributed evenly to all citizens, what is the national debt per citizen? Round your answer to the nearest cent. 1 Real Numbers ■ 17 C AT C H T H E M I S TA K E In Exercises 77–80, explain the mistake that is made. 79. Simplify the expression 3(x ϩ 5) Ϫ 2(4 ϩ y). 77. 2749 to two decimal places. Solution: Solution: The 9, to the right of the 4, causes the 4 to round to 5.