1. 3n + 2 = - 2n - 8
2.8b -7=76-2
3. -12 + 5k = 15 - 4k
4. -q - 11 = 29 + 4
5. 4t + 9 = -8t - 13
6. 22p + 11 = 40 - 7
7. 17 - 9 = -3 + 16y
8. 15m + 22 = -7m + 18
9. 3x + 7 = 14 + 3x
10. Shirley is going to have the exterior of her home painted. Tim's Painting charges $250 plus $14 per hour. Colorful Paints charges $22 per hour. How many hours would the job need to take for Tim's Painting to be the better deal?
11. Tracey is looking at two different travel agencies to plan her vacation. ABC
Travel offers a plane ticket for $295 and a rental car for $39 per day. M & N Travel offers a plane ticket for $350 and a rental car for $33 per day. What is the minimum number of days that Shirley's vacation should be for M & N Travel to have the better deal?
12. 7(h + 3) = 6(h - 3)
13. -(5a + 6) = 2(3a + 8)
14. -2(2f - 4) = -4(-/+ 2)
15. 3w - 6 + 2w = -2 + w
16. -8x - (3x + 6) = 4 - x
17. 14 + 3n = 8n - 3(n - 4)
Determine whether each equation is an identity or whether it has no solution.
18. 4(3m + 4) = 2(6m + 8)
19. 5x + 2x - 3 = -3x + 10x
20. - (3z + 4) = 6z - 3(3z + 2)
21.-2( - 3) = -2j + 6
1. Solution: n = -2
2. Solution: b = 11
3. Solution: k = 3
4. Solution: q = -44
5. Solution: t = -1
6. Solution: p = 1
7. Solution: y = 0
8. Solution: m = -1/4
9. No solution
10. Tim's Painting is the better deal if the job takes more than 7.14 hours.
11. M & N Travel is the better deal if the vacation is at least 4 days.
12. No solution
13. Solution: a = -10/17
14. Identity
15. No solution
16. Solution: x = -2
17. Solution: n = 2
18. Identity
19. Identity
20. No solution
21. Solution: j = 0