1. 7v = 45 + 2v
2. 12 - 3r = 3r
3. 4x + 18 = 10x
4. 4z + 2 = 2z + 8
5. 4r + 2 = 2r + 2
6. 5w + 2 = w + 7
7. 7f - 1 = 29 + f
8. 24x - 24 = 12 + 2x
9. 6 + 4(2 - t) = 3t
10. 7m + 5(3 - m) = 19
11. 12( x/3 - 1/2) = x + 21
12. 4/5 (a + 10) = a
13. 3t + 4 = 3( t + 2)
14. 5 - b = b + 5
15. 4(k + 1) + 9 = 2(3k - 4) + k
16. 5(2y + 3) - 4y = 3(2 + y) + 39
17. 2/5 (x + 1) + 3/5 (x + 1) = 14
18. 2(t + 4) - 3 = 1/2 (10 + 4t)
19. 7m - 4 - m = 31 + 2m - 5
20. 3(2t -5) - 7 = 9t - 4
21. 3/4 (5y -4) = 13 + 1/4 (6y + 8)
22. 12 + 3(2k - 1) = 2(3k + 1)
23. Find a number such that the difference of twice the number and two-thirds of the number is 68.
24. The sum of two numbers is 20. Four times
the larger is 1 less than five times the smaller. Find the numbers.
ANSWERS:
1. v = 9
2. r = 2
3. x = 3
4. z = 3
5. r = 0
6. w = 5/4
7. f = 5
8. x = 18/11
9. t = 2
10. m = 2
11. x = 9
12. a = 40
13. no solution
14. b = 0
15. k = 7
16. y = 10
17. x = 13
18. identity t = all real numbers
19. m = 7 1/2 (or 7.5 or 15/2)
20. t = -6
21. y = 8
22. no solution
23. n = 51
24. 9 and 11