1. Chapter R
Algebra Reference

2. Section R.1
Polynomials

4. Your Turn 1
Solution: Multiply each polynomial by the coefficient in front of the polynomial and then combine like terms.

5. Your Turn 2
Solution : Using the Distributive property yields

6. Section R.2
Factoring

7. Your Turn 1
Solution: Each of these terms is divisible by 2z2.

9. Example 4

10. Section R.3
Rational Expressions

12. Your Turn 1
Solution: Factor both numerator and denominator in order to identify any common factors. The answer can not be further simplified.

13. Your Turn 2
Solution: Factor where possible.

14. Section R.4
Equations

16. Your Turn 1

18. Your Turn 2

20. Your Turn 3
Continued

21. Your Turn 3 continued

22. Your Turn 4
Continued

23. Your Turn 4 continued

24. Section R.5
Inequalities

27. Your Turn 1

28. Figure 1

29. Figure 2

30. Figure 3

31. Figure 4

32. Figure 5

33. Figure 6

34. Figure 7

35. Figure 8

36. Section R.6
Exponents

40. Your Turn 1
Solution:

42. Section R.7
Radicals

45. Example 2

46. Your Turn 2
Solution: The best approach here is to multiply both numerator and denominator by √x + √y . The expressions √x + √y and √x − √y are conjugates, and their product is