Algebra 1 Workbook Solutions

Page 1 1. The product of nine and a number squared

2. Five squared 3. A number increased by two times another

number 4. The difference between four and five times

a number 5. The product of two and a number squared 6. One less than seven times a number cubed 7. A number to the fourth power increased by

the product of six and a number 8. Three times a number squared decreased by

another number 9. x + 10 10. k – 15 11. 18q 12. 6 + 2m 13. 8 + 3x 14. 17 – 5x 15. 2y2 16. g4 - 9

Page 2 1. The product of twenty-three and a number

2. Seven to the third power 3. Five times a number squared increased by

two 4. The product of four and a number cubed

decreased by 10 5. A number cubed times another number to

the fourth power 6. A number squared decreased by three times

another number cubed 7. The quotient of fifth power of a number and

six 8. Four times the square of a number divided

by seven 9. 10 – u 10. 18 + x 11. 33j 12. 74 + 3y 13. 15 – 2x 14. 91 + x2 15. ¾ b2 16. (2/5) x3 17. 2.5x + 0.5f 18. 2∏rh

Page 3 1. 64 2. 81 3. 125 4. 27 5. 63 6. 21 7. 22 8. 48 9. 41 10. 25 11. 12 12. 26 13. 1 14. 24 15. 10 16. 42

Page 4 1. 121 2. 512 3. 625 4. 20 5. 63 6. 33 7. 12 8. 9 9. 48 10. 21 11. 62 12. 3 13. 1 14. 26 15. ½ 16. 137

Algebra 1 Workbook Solutions 17. 51 18. 18 19. 13 20. 10 21. 17 22. 16 23. 70 24. 67 25. 13 26. 20

17. 89 18. 168 19. 50 20. 8 21. 96 22. 39 23. 5 24. 9/10 25. 7 26. a. 5(36) + 0.5(180 – 100) b. $220 27. a. 2(3n + 2) + 2(n + 1) b. 34 in.

Page 5 1. 7 2. 0 3. 1 4. 1 5. 6 6. 1 7. 50 8. 80 9. 180 10. 120

Page 6 1. 0 2. 6 3. 55 4. 21 5. a. (15*2 – 10) + (9*3 – 24) b. $23 6. a. 2(1.25 + 4.75 + 1.50) + 4(1.15 + 0.35) b. $21.00

Page 7 1. 4(3) + 4(5); 32 2. 2(6) + 2(10); 32 3. 5(7) – 5(4); 15 4. 6(8) – 2(8); 32 5. 5(80 + 9); 445 6. 9(9 + 90); 891 7. 15(100 + 4); 1560 8. 15(2 + 1/3); 35 9. 2a + 14 10. 7h – 70 11. 3m + 3n 12. 2x – 2y + 2 13. 10x 14. 18g 15. 8x2 16. 5a2

Page 8 1. 9(7) + 9(8); 135 2. 7(6) – 7(4); 14 3. 4(11) + 6(11); 110 4. 9(400 + 99); 4491 5. 7(100 + 10); 770 6. 16(4 + ¼ ); 68 7. 27 – 3p 8. 35y – 21 9. 15f + 5 10. 48b – 4 11. mn + 4m 12. dc – 4d 13. 9w 14. 15 + 18h 15. 21b2 16. 8t3

Algebra 1 Workbook Solutions 17. Not Possible 18. 6n 19. 4b 20. 2q2 + q 21. 9t2 + t2 + 2; 10t2 + 2 22. 3(r + d2) – 2(r + d2); r + 2d2

17. Simplified 18. 24p 19. 4(f2 – g) + f2 + 2g; 5f2 – 2g 20. 3(x + y2) + 5(2x – y); 13x + 3y2 – 5y 21. a. 4(11.50+1.50+2.75) b. $63.00

Page 9 1. 7 2. 6 3. 5 4. 11 5. 10 6. 12 7. ¾ 8. 7/9 9. 4/3 10. 1.5 11. 3.6 12. 8.2 13. 1 14. 4 15. 2 16. 1 17. C = 10(4) + 50; $90.00 18. t = 3300/550; 6 hrs.

Page 10 1. ½ 2. 3.5 3. 3/2 4. 3.5 5. 3/2 6. 4 7. 13.5 8. 11.25 9. 4 10. 4 11. 3 12. 2 13. L = 6(8.5)/15; 3.4 lessons per week 14. C = .20(40) + 40; $48.00

Page 11 1. x y -1 -1 D: -1, 1, 2, 3 1 1 R: -1, 1, 2 2 1 3 2 2. x y 0 4 D: 0,-4,-2,4 -4 -4 R: 4,-4,3,0 -2 3 4 0 3. x y 3 -2 D: 3,1,-2,3 1 0 R: -2,0,4,1

Page 12 1. x y 4 3 D: 4,-1,3,-2 -1 4 R: 3,4,-2,1 3 -2 -2 1

2. The height increases as time increases

3. The student continues moving through the test with periods of getting stuck on questions

4. (0,9), (-8,3), (2,-6), (1,4) 5. (9,5),(9,3),(-6,-5), (4,3),(8,-5),(8,7) 6. (-3,-1),(-2,-2),(-1,-3),(1,1),(2,1)

Algebra 1 Workbook Solutions -2 4 3 1 4. hours: independent Paycheck: dependent 5. price: independent Buyers: dependent

7. (2002, 35), (2003, 36), (2004, 29), (2005, 51), (2006, 41), (2007, 26) D: 2002,2003,2004,2005,2006,2007 R: 35,36,29,51,41,26

Page 13 1. Yes 2. Yes 3. No 4. Yes 5. No 6. Yes 7. Yes 8. No 9. Yes 10. Yes 11. Yes 12. No 13. No 14. 14 15. 26 16. -4 17. 2 18. 12 19. 42 20. 9 21. 4 22. 0 23. 4 24. 3x + 5 25. 9b2 – 3b

Page 14 1. Yes 2. No 3. No 4. Yes 5. No 6. No 7. Yes 8. -2 9. -7 10. -3 11. -5/9 12. -1 13. -8 14. 2h + 12 15. 3y – 18y2 16. 2b – 4b2 + 2 17. a. f(h) = 7.5h b. f(15) = 112.5 f(20) = 150 f(25) = 187.5 18. a. No, the x does not repeat itself b. R = 12/I c. R = 12/.5 = 24

Page 15 Page 16

Page 17 1. 3m + 2 = 18 2. 2a + a2 = b 3. (p + q) – 7 = 6 4. x + x2 = yz 5. 4(f + g) = 6g

Page 18 1. 53 + 4c = 21 2. 5h + 2g = 23 3. ¼ (r + 10) = r – 4 4. 3 + (w2 + x2) = 32 5. K = 273 + C

Algebra 1 Workbook Solutions 6. P = 4s 7. A = s2 8. P = a + b + c 9. A = ∏r2

10. V = lwh

11. g plus 10 is the same as 3 times g 12. Twice p plus 4 times t is 20 13. 4 times the sum of a & b is 9 times a 14. 8 minus 6 times x is 4 + twice x 15. Half of the sum of f & y is 5 less than f 16. k squared minus n squared is 2 times b 17. Sample: The cost of 2 pounds of plain

coffee beans plus one pound of flavored beans is $21. How much does 1 pound of plain beans cost?

18. Sample: The cost of dinner plus a 15% tip was $23. How much was the dinner?

6. C = pg 7. S = 180(n – 2) 8. q minus the sum of 4 & p equals 1/3

times q 9. Two more than 3/5 of t is t 10. 9 times the sum of y squared and x is

18 11. Twice the quantity m minus n is v plus

7 12. Sample: The cost of two adults

tickets and 4 children’s tickets to the zoo is $38. How much is an adult’s ticket?

13. Sample: The cost of three airline tickets that are discounted 20% is $330. What is the regular cost of a ticket?

14. 0.15F = N 15. a. T = p + p + 7

b. 16 mi c. 29 mi

Page 19 1. 15 2. -22 3. 10 4. -18 5. 64 6. 31 7. 28 8. 16 9. 18 10. 19 11. 24 12. -10 13. 27 14. 97 15. 39 16. -96 17. 64

Page 20 1. 25 2. -17 3. -9 4. -87 5. 105 6. 12 7. -7 8. -93 9. -6 10. 12 11. 3 12. -12 13. 9 14. -72 15. 96 16. 12 17. 6

Algebra 1 Workbook Solutions 18. -76 19. 9 20. -7 21. -12 22. -2 23. 7 24. -4 25. 64 26. 144 27. -252 28. 91 29. -52 30. -186 31. -9 32. -14 33. -18 34. 4

18. 4 19. -9x = -117; x = 13 20. (-1/8)x = (-3/4); x = 6 21. (5/6)x = (-5/9); x = -2/3 22. 2.7x = 8.37; x = 3.1 23. a. 2.9 + x = 29.7 b. 26.8 24. a. 3118 = 61 x t b. 51.11 seconds

Page 21 1. 50 2. 92 3. 20 4. $12.50 5. 4 6. 6 7. 7 8. -7 9. 9 10. -6 11. 18 12. -16 13. -51 14. 114 15. 55 16. -28 17. 20 18. -27 19. 2 20. 5 21. 17 22. 5 23. 2n + 4 = 6; 1

Page 22 1. 1 2. 84 3. 8 4. 12 5. -8 6. -1 7. 3 8. -20 9. -48 10. 12 11. 2 12. -25 13. 32 14. -1 15. 42 16. 29 17. 21 18. 0.2 19. 2.3 20. 4n – 7 = 13; 5 21. n + n + 2 = 116; 57, 59 22. n + n + 2 = 126; 62, 64 23. n + n + 2 + n + 4 = 117; 37,39,41

Algebra 1 Workbook Solutions 24. 16 = 7 + 3n; 3 25. n + n + 1 + n + 2 = 36; 11,12,13

24. 28

Page 23 1. a. Subtract 2k from each side b. Simplify c. Add 3 to each side d. Simplify e. Divide each side by 2 f. Simplify 2. a. Distributive Property b. Subtract 6u from each side c. Simplify d. Subtract 4 from each side e. Simplify f. Divide each side by 10 g. Simplify 3. 43 4. 25 5. 2/3 6. 3 7. -7 8. No Solution 9. 12 10. 4 11. Infinitely Many Solutions 12. -2 13. 2 14. – ½ 15. 1 16. 13 17. -6 18. -3/2 19. -7 20. 2/3 21. 9 22. -2

Page 24 1. 2 2. -4 3. 1 4. 1/3 5. 4 6. 2 7. No Solution 8. 1 9. 5/6 10. -4 11. -2 12. 1 13. No Solution 14. 3 15. 6 16. -8 17. ¾ 18. 7 19. 5/4 20. -7 21. -8 22. Infinitely Many Solution 23. -45 24. 18 25. -8, -6 26. 4.5 in by 7.5 in

Page 25 1. 2 2. 10 3. 2 4. 5

Page 26 1. 9 2. 8 3. 14 4. 10

Algebra 1 Workbook Solutions 5. x = -6, 4 6. c = 2,4 7. n = -3,-1 8. t = -10, -2 9. w = 0,4 10. k = 1, 9 11. |x| = 1 12. |x + 3| = 2 13. |x - 4| = 1 14. |x| = 4

5. z = 4,5 6. r = -2,5 7. t = -5,1 8. g = -2,7 9. |x – 6| = 5 10. |x + 4| = 2 11. |x + 3| = 4 12. |x – 2| = 4 13. |c – 280| = 25; min = 255, max = 305 14. |t – 28| = 1.2; min=26.8, max=29.2

Page 27 1. yes 2. no 3. yes 4. yes 5. no 6. yes 7. yes 8. no 9. 7 10. 15 11. 6 12. 18 13. 10 14. 3 15. 21 16. 18 17. 8 18. 63 19. 42 20. 44 21. 48 22. 16 23. 60 24. 12.5 gal

Page 28 1. no 2. no 3. yes 4. yes 5. yes 6. yes 7. yes 8. no 9. no 10. 9 11. 68 12. 5 13. 7 14. 18 15. 16 16. 12 17. 77 18. 1 19. 122 20. 24 21. 7 22. 72/7 23. 18/5 24. 15/4 25. 1 26. 2.88 27. 1.02 28. 7 29. 2 30. 5

Algebra 1 Workbook Solutions 31. 2/3 32. 3 33. 32/7 34. 4.5 hr 35. 56.25 mi

Page 29 1. D; 60% 2. I, 50% 3. D, 9% 4. I, 12% 5. D, 40% 6. I, 6% 7. I, 25% 8. D, 25% 9. $72.45 10. $15.52 11. $30.69 12. $48.95 13. $6.39 14. $67.60 15. $18.02 16. $51.60 17. $45 18. $75 19. $12.79 20. $15.30 21. $93.75 22. $56.10

Page 30 1. D, 44% 2. I, 14% 3. I, 60% 4. I, 150% 5. D; 21% 6. D, 6% 7. I, 137% 8. D, 35% 9. I, 12% 10. $100.70 11. $255.60 12. $131.88 13. $344.50 14. $26.74 15. $19.85 16. $21.25 17. $37.49 18. $129.50 19. $11.66 20. $119.20 21. $13.74 22. $298.13 23. $230.26 24. $188.32 25. 60% 26. $270

Page 31 1. t = x/7 2. p = r/w 3. r = q/2 4. m = t/3 5. a = -b/8 6. c = d/7 7. y = (x-1)/2 8. n = (1-d)/3

Page 32 1. r = d/t 2. w = (2z + y)/6 3. x = (3t – 4y)/m 4. s = (-4u + 5g)/9 5. b = (2x – 3c)/a 6. x = (2p + t)/k 7. m = 3r/2 8. h = (5d-5g)/2

Algebra 1 Workbook Solutions 9. f = (5-g)/7 10. x = (b+c)/a 11. t = (2n + y)/r 12. c = (2k – 3g)/b 13. n = (9v – 4f)/k 14. c = (5p – 6j)/8 15. x = c + 2d 16. c = x – 2d 17. p = 5r – 9 18. b = 7a + 4z 19. a. h = V/(lw) b. 2.5m 20. $64.90

9. y = (3x – 3v)/2 10. a = (4k + 4q)/3 11. x = (5n – 9)/r 12. b = (2c + 4)/3 13. w = (2-y)/5 14. l = (y – 5)/2 15. a. R = E/I b. 48 ohms 16. a. r = (tv)/(2∏) b. 6 ft 17. 3099 mi

Page 33 1. a. 16 – b; 0.20(16 – b) b; 1.00b 16; 0.30(16) b. 0.20(16 – b) +1.00b = 0.30(16) c. 2 oz d. 14 oz 2. a. 1.5; t ; 1.5t 2 ; t ; 2t b. 1.5t + 2t = 21 c. 6 h 3. a. 8 lb. b. 2 lb

Page 34 1. a. k ; $5.75 ; 5.75k 5 – k ; $4.50 ; 4.50(5 – k) 5 ; $5.25 ; 5(5.25) b. 5.75k + 4.50(5 – k) = 5(5.25) c. 3 lb d. 2 lb 2. a. 55 ; t ; 55t 65 ; t ; 65t b. 55t + 65t = 150 c. 1.25 h 3. 2.5h 4. 5.6

Page 35 1. No 2. Yes 3. Yes 4. Yes 5. Yes 6. No 7. Yes 8. Yes 9. Yes 10. x = 2, y = -2 11. x = 4, y = 4 12. x = 2, y = 4 13. x y -1 4

Page 36 1. No 2. Yes; x = ½ ; y = -2 3. Yes; x = -3/7, No y-intercept 4. Yes; x = 5/3; y = 5/2 5. Yes; x = 4, y = -3 6. No 7. – 9. graphs 10. a. $4.95 b. graph c. $11.95 11. a. Graph b. 6.7 hrs

Algebra 1 Workbook Solutions 0 4 1 4 14. x y -1 -3 0 0 1 3 15. x y -1 3 0 4 1 5 16. x = 3, y = 3 17. x = 0, y = 0 18. x = 3/2, y = -3

Page 37 1. No solution 2. x = 2/3 3. x

Page 38

Page 39 1. 2 2. 1/3 3. -3 4. 1 5. 0 6. undefined 7. undefined 8. 2 9. 8 10. -3 11. undefined 12. -1 13. ½ 14. -1/3 15. 1/10 16. -7/2 17. 11/9 18. 5/2 19. -7/6 20. 2 21. 8 22. 4 23. 11

Page 40 1. -3 2. 4/5 3. 0 4. -7 5. -1 6. 2 7. -4 8. undefined 9. 0 10. -1/7 11. 1/5 12. 13/9 13. undefined 14. 0 15. ¼ 16. 3 17. 4 18. 5 19. -4 20. 1 21. 7 22. 16 23. 2

Algebra 1 Workbook Solutions 24. 3 25. 6

24. 2/3 25. -405 sunscribers per year

Algebra 1 Workbook Solutions

Page 39 1. 2 2. 1/3 3. -3 4. 1 5. 0 6. Undefined 7. Undefined 8. 2 9. 8 10. -3 11. Undefined 12. -1 13. ½ 14. -1/3 15. 1/10 16. -7/2 17. 11/9 18. 5/2 19. -7/6 20. 2 21. 8 22. 4 23. 11 24. 3 25. 6

Page 40 1. -3 2. 4/5 3. 0 4. -7 5. -1 6. 2 7. -4 8. Undefined 9. 0 10. -1/7 11. 1/5 12. 13/9 13. Undefined 14. 0 15. ¼ 16. 3 17. 4 18. 5 19. -4 20. 1 21. 7 22. 16 23. 2 24. 2/3 25. -405

Page 41 Page 42

Page 43 Page 44

Page 45 Page 46

Page 47 1. y = 5x – 3 2. y = -2x + 7 3. y = -6x – 2 4. y = 7x + 1 5. y = 3x + 2 6. y = -4x – 9 7. y = x – 12 8. y = 8 9. y = 2x – 3 10. y = -3x + 2

Page 48 1. y = ¼ x + 3 2. y = (3/2)x – 4 3. y = (3/2)x – 1 4. y = (-5/2)x + (7/2) 5. y = (2/5)x + 2 6. y = (3/2)x + 3 7. y = (-2/3)x – 2 8. – 10. Graph 11. a. P = 15m + 10

b. Graph

Algebra 1 Workbook Solutions 11. y = -x – 1 12. – 14. Graph 15. a. c = 2m + 10 b. Graph c. $22

c. 85 pages

Page 49 1. y = -3x + 1 2. y = x – 3 3. y = 2x + 4 4. y = 4x + 5 5. y = -2x + 10 6. y = 3x – 8 7. y = 5x – 15 8. y = 2x + 4 9. y = -4x – 16 10. y = -x + 1 11. y = 2x – 1 12. y = -2x + 3 13. y = 2x + 1 14. y = -x + 5 15. y = 3x – 4 16. y = x + 6 17. y = 3x – 6 18. y = -2x + 4 19. a. p = 3w + 80 b. $65

Page 50 1. y = 3x – 1 2. y = -2x – 2 3. y = -x-4 4. y = -3x – 11 5. y = ½ x + 1 6. y = (-3/2)x – (7/2) 7. y = (2/7)x + (43/7) 8. y = -½ x + (3/2) 9. y = 0 10. y = x – 6 11. y = -x + 5 12. y = -2x - 5 13. y = -4 14. y = ¼ x – 1 15. y = (4/3)x – (1/3) 16. y = (2/5)x + 1 17. y = (-3/2)x – (9/2) 18. y = -¼ x + ¼ 19. y = 10x + 12; $52 20. T = (-2/9)x + (206/9);

Page 51 Page 52

Page 53 1. y = 3x +1 2. y = -x 3. y = ½ x + 3 4. y = 3x – 7 5. y = -3x – 5 6. y = x + 2 7. y = -4x + 1 8. y = x + 6 9. y = ½ x + 5 10. No; the slopes are equal 11. 1st & 3rd are parallel; slopes are equal 12. 1st & 2nd are perpendicular; slopes are

negatives reciprocals

Page 54 1. y = x – 1 2. y = -4x – 3 3. y = - ¾ x – 3 4. y = (2/5)x + 2 5. y = (4/3)x – 13 6. y = -2x + 7 7. y = ⅔x + 6 8. y = 3x + 1 9. y = (5/4)x + 12 10. y = -3x – 7 11. y = (-4/3)x - ⅔ 12. y = (-2/5)x + (11/5) 13. y = 3x + 4

Algebra 1 Workbook Solutions 13. y = -x – 5 14. y = - ½ x + 1 15. y = 3x – 3 16. y = ¼ x + 6 17. y = -4x – 5 18. y = -2x

14. y = -x – 1 15. y = ¼ x – 2 16. y = 5x + 1 17. y = -6x + 16 18. y = 4x – 3 19. y = (7/4)x + 8 20. y = (4/5)x – 3 21. y = (-5/2)x + 5 22. y = (2/3)x + 1/3 23. y = ¾ x – ½ 24. y = (-6/5)x + (7/5) 25. Yes; their slopes are negative

reciprocals 26. Yes, sides AB and AC are

perpendicular because their slopes are negative reciprocals

Page 55 Page 56 1. y=x – 1 2. y = -4x – 3 3. y = (-3/4)x – 3 4. y = (2/5)x + 2 5. y = (4/3)x – 13 6. y = -2x + 7 7. y = (2/3)x + 6 8. y = 3x + 1 9. y = (5/4)x + 12 10. y = -3x – 7 11. y = (-4/3)x – (2/3) 12. y = (-2/5)x + (11/5) 13. y = 3x + 4 14. y = -x-1 15. y = (1/4)x – 2 16. y = 5x + 1 17. y = -6x + 16 18. y = 4x – 3 19. y = (7/4)x + 8 20. y = (4/5)x – 3 21. y = (-5/2)x + 5 22. y = (2/3)x + (1/3) 23. y = ¾ x – ½ 24. y = (-6/5)x + (7/5)

Algebra 1 Workbook Solutions 25. Yes, because the slope of AC = 7 and

the slope of DB = -1/7. There slopes are negative reciprocals.

26. Yes it is because the slope of side AB = -2 and the slope of side AC is ½ which create perpendicular lines and a right angle.

Page 57 Page 58

Page 59 Page 60

Page 61 1. c 2. e 3. a 4. b 5. d 6. d < 6 7. s < -1 8. a > -6 9. w < 5 10. k < 1 11. b > -5 12. x < -6 13. y < 2 14. n – 10 > -5; n > 5 15. n + 1 < 9; n < 8 16. n + 7 < -18; n < -25 17. n – 20 > 15; n > 35 n + 2 < 1; n < -1

Page 62 1. b 2. d 3. a 4. c 5. r > -7 6. x < 8 7. n > -2.5 8. y > .5 9. z > -7/3 10. c > 5/4 11. n + 17 > 26; n > 9 12. 2n – 4 < 3n; n > -4 13. 12 < n – 7; n > 19 14. 8 + 4n > 5n; n < 8 15. no more than 2.8 miles 16. no more than 4 cm

Page 63 1. d 2. f 3. a 4. c 5. b 6. e 7. g > 4 8. w < 7 9. b > -6 10. r > 2 11. p > 6 12. s < 36

Page 64 1. d 2. f 3. e 4. b 5. c 6. a 7. a > 70 8. h > -4 9. s > -96 10. p < 3 11. n > -18 12. t > -45

Algebra 1 Workbook Solutions 13. a > -135 14. p < 63 15. t < -72 16. z < -18 17. m < 2 18. k < -85 19. y > -36 20. c < 14 21. h > -20 22. d < 144 23. 4n > -48; n > -12 24. (1/8)n < 3; n < 24 25. -12n < 84; n > -7 26. (-1/6)n < -9; n > 54 27. 8n > 16; n > 2

13. m > 10 14. k > -3 15. b > -0.25 16. c < 10 17. x > -40 18. j > -9.2 19. y > -1/5 20. v > -8 21. u > 0 22. f < -8/7 23. -3n > 57; n < -19 24. ⅔ n < -10; n < -15 25. (-3/5)n < -6; n > 10 26. no more than 8 hours 27. at least 950 bags

Page 65 1. a. Add 3 to each side b. Multiply each side by 4/3 2. a. Distributive Property b. Subtract 33 from each side c. Divide each side by 5 3. b < 5 4. x < 2 5. d > 8 6. a < 15 7. t < 55 8. j > 20 9. f > 18 10. p < 15 11. k > -2 12. m < 3 13. w > -2 14. q < -5 15. n + 4 > 9; n > 15 3 16. n + 14 < 3n; n > 7 17. -3n + 7 < -11; n > 6 18. 5n – 8 < 2n +10; n < 6 19. 5n + 7 > -3 6 20. 4(n + 2) +3 > 27; n > 4

Page 66 1. a. Multiply each side by 8 b. Subtract 5x from each side c. Divide each side by 3 2. a. Distributive Property b. Subtract 6h from each side c. Subtract 4 from each side d. Divide each side by -2 & flip < to > 3. t < 24 4. u < 7 5. a < 21 6. w < -19 7. f > 15 8. h > -3 9. z < -8 10. e > 2 11. n > -9 12. n < 3n + 4 ; n < 4 4 13. 2(n + 4) < 3(n + 7) – 4; n > -9 14. no more than 15 ft 15. at least 12 sessions

Algebra 1 Workbook Solutions Page 67 1. – 4. graphs 5. -3 < x < 3 6. 1 < x < 4 7. x < -2 or x > 1 8. x < -1 or x > 2 9. 2 < m < 4 10. y< 1 or y > 6 11. -2 < f < -1 12. w < -3 or w > 2 13. -2 < b < 6 14. p < 0 or p > 3 15. -5 < n + 1 < 3; -6 < n < 2 16. n – 2 < 4 or n – 2 > 9; n < 6 or n > 11 17. n + 3 < 8 or n + 3 > 12; n < 5 or n > 9

Page 68 1. – 4. graphs 5. x < -3 or x > 3 6. x < 2 or x > 3 7. 0 < x < 5 8. -5 < x < 0 9. k < -4 or k > 3 10. n > -2 11. 1 < h < 3 12. -1 < c < 4 13. 5 < 2n + 1 < 7; 2 < n < 3 14. n – 1 < 9 or 2n > 24; n < 10 or n > 12 15. 40 < w < 60 16. w < 40 or w > 60 17. between 36 grams and 63 grams

Page 69 Page 70

Page 71 Page 72

Page 73 1. Consistent; independent 2. consistent; dependent 3. inconsistent 4. consistent; independent 5. one; (-1, -3) 6. one; (1, 2) 7. no solution 8. infinitely many solutions 9. one; (-3, 0) 10. one; (2, 1) 11. one (3, 0) 12. infinitely many solutions 13. no solution

Page 74

Page 75 1. (1,4) 2. (-2, -4) 3. (3, 9) 4. (8, -2) 5. (2, 1) 6. (-6, 1) 7. (-2, -9) 8. (-1, 5) 9. (6, -3)

Page 76 1. (-1, -6) 2. (9, 3) 3. (1, -3) 4. (4, 6) 5. No Solution 6. (7, -9) 7. (-3, 8) 8. Infinitely many solutions 9. (-4, -8)

Algebra 1 Workbook Solutions 10. (3, 7) 11. (7, 3) 12. no solution 13. (3, 5) 14. (12, -1) 15. infinitely many solutions 16. (4,3) 17. (9, 4) 18. (-5, -8) 19. (2, 3/2) 20. (-2, 3)

10. (-6, 4) 11. (14, 5) 12. (5,5) 13. (6, -1) 14. (5, 2) 15. (12, 3) 16. (12, 1) 17. (1/3, 5/3) 18. No solution 19. a. y = .04x + 500 y = .05x + 400 b. $10,000 20. a. x + y = 8 7.25x + 5.5y = 52.75 b. 5 adult and 3 student

Page 77 1. (2,1) 2. (5,6) 3. (11,0) 4. (6,4) 5. (-3, 7) 6. (-8, 0) 7. (2, -1) 8. (-1, -2) 9. (-3, -5) 10. (0, -4) 11. (10, 4) 12. (-1, 1) 13. (7, 5) 14. (-5, -2) 15. (2, -3) 16. (-4, 4) 17. 12, 16 18. 7, 22 19. 13, 11 20. 25, 29 21. 9, 7

Page 78

Page 79 1. (2, -11) 2. (-7, 6) 3. (4, -1)

Page 80

Algebra 1 Workbook Solutions 4. (1, 1) 5. (-1, 5) 6. (-2, 4) 7. (-2, 0) 8. (4, 2) 9. (3, -5) 10. (-6, -4) 11. (7, 4) 12. (-3,6) 13. 8, -1 14. -3, 2 15. wash: $6, vacuum: $2

Page 81 Page 82

Page 83 Page 84

Page 85 1. Yes, 11 is a real # 2. No, Not a product 3. No, this is a quotient 4. Yes, single variable 5. Yes, product of two variables 6. No, this is a sum 7. a11 8. x10 9. y3z3 10. l5k3 11. a4b6 12. c4d4 13. 6x7 14. 20a9 15. 12x4y8 16. 7a7b5 17. -15m11 18. 8c5d2 19. 106 or 1,000,000 20. p36 21. 36p2 22. -27y3 23. 9p2r4 24. 4b6c8 25. x7 26. c2d2

Page 86 1. No, this is a quotient not a product 2. Yes, this is a product 3. -15x6y 4. 8a4b4f4 5. -6a3d4 6. -8g8h 7. 5x2y7 8. –x4y3z 9. -54m5n4 10. 0.04a4b6 11. 4 p2 9 12. 1 a2d6 16 13. .064k9 14. 48 or 65,536 15. 18a3b6 16. 25∏x6 17. 12a3b4 18. 27h6 19. m4n5 20. 63∏g4 21. 25 or 32 22. 26 or 64

Algebra 1 Workbook Solutions 27. 18p4

Page 87 Page 88 1. 84 or 4096 2. a3b3 3. y 4. mn 5. -5d2 4 6. 2yz 7. 64f9g3 27h18

8. 36w10 49p12r6 9. -1__ 6x3 10. 1__ x5y5 11. p___ q2r3 12. 1__ 144 13. 49__ 9 14. 81__ 256 15. 2rs5 16. -3__ u4 17. 2c4f7 18. 1 19. g8h2__ 9 20. -6t2u4__ X9

21. r__ 27 22. m2__ n2 23. j__ k15 24. a4__

Algebra 1 Workbook Solutions 40b7 25. q10__ r25 26. c8__ 7d2h4

27. 9x2__ 4y2z6 28. 1/484 29. 676