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# Solutions

## Solutions to Try Its

1. a. $\frac{11}{1}$ b. $\frac{3}{1}$ c. $-\frac{4}{1}$ 2. a. 4 (or 4.0), terminating b. $0.\overline{615384}$, repeating c. –0.85, terminating 3. a. rational and repeating b. rational and terminating c. irrational d. rational and repeating e. irrational 4. a. positive, irrational; right b. negative, rational; left c. positive, rational; right d. negative, irrational; left e. positive, rational; right 5.
N W I Q Q'
a. $-\frac{35}{7}$ X X
b. 0 X X X
c. $\sqrt{169}$ X X X X
d. $\sqrt{24}$ X
e. $4.763763763\dots$ X
6. a. 10 b. 2 c. 4.5 d. 25 e. 26 7. a. commutative property of multiplication, associative property of multiplication, inverse property of multiplication, identity property of multiplication; b. 33, distributive property; c. 26, distributive property; d. $\frac{4}{9}$, commutative property of addition, associative property of addition, inverse property of addition, identity property of addition; e. 0, distributive property, inverse property of addition, identity property of addition 8.
Constants Variables
a. $2\pi r\left(r+h\right)$ $2,\pi$ $r,h$
b. 2(L + W) 2 L, W
c. $4{y}^{3}+y$ 4 $y$
9. a. 5 b. 11 c. 9 d. 26 10. a. 4 b. 11 c. $\frac{121}{3}\pi$ d. 1728 e. 3 11. 1,152 cm2 12. a. $-2y - 2z\text{ or }-2\left(y+z\right)$ b. $\frac{2}{t}-1$ c. $3pq - 4p+q$ d. $7r - 2s+6$ 13. $A=P\left(1+rt\right)$

## Solutions to Odd-Numbered Exercises

1. irrational number. The square root of two does not terminate, and it does not repeat a pattern. It cannot be written as a quotient of two integers, so it is irrational. 3. The Associative Properties state that the sum or product of multiple numbers can be grouped differently without affecting the result. This is because the same operation is performed (either addition or subtraction), so the terms can be re-ordered. 5. $-6$ 7. $-2$ 9. $-9$ 11. 9 13. 4 15. 4 17. 0 19. 9 21. 25 23. $-6$ 25. 17 27. 4 29. $-4$ 31. $-6$ 33. $\pm 1$ 35. 2 37. 2 39. $-14y - 11$ 41. $-4b+1$ 43. $43z - 3$ 45. $9y+45$ 47. $-6b+6$ 49. $\frac{16x}{3}\\$ 51. $9x$ 53. $\frac{1}{2}\left(40 - 10\right)+5$ 55. irrational number 57. $g+400 - 2\left(600\right)=1200$ 59. inverse property of addition 61. 68.4 63. true 65. irrational 67. rational