Question

Lesson 3 Skills Practice

Solve Equations with Variables on Each Side
Solve each equation. Check your solution.
1. 3w + 6 = 4w 2. a + 18 = 7a

3. 8c = 5c + 21 4. 11d + 10 = 6d

5. 2e = 4e – 16 6. 7v = 2v – 20

7. 4n – 6 = 10n 8. 2y + 27 = 5y

9. 8h = 6h – 14 10. 18 – 2g = 4g

11. 4x – 9 = 6x – 13 12. 5c – 15 = 2c + 6

13. t + 10 = 7t – 14 14. 8z + 6 = 7z + 4

15. 2e – 12 = 7e + 8 16. 9k + 6 = 8k + 13

17. 2d + 10 = 6d – 10 18. –2a – 9 = 6a + 15

19. 8 – 3k = 3k + 2 20. 7t – 4 = 10t + 14

21. 3c – 15 = 17 – c 22. 14 + 3n = 5n – 6

23. 3y + 5.2 = 2 – 5y 24. 10b – 2 = 7b – 7.4

25. 2m – 2 = 6m – 4 26. 3g + 5 = 7g + 4

27. 4s – 1 = 8 – 2s 28. 9w + 3 = 4w – 9

29. 6z – 7 = 2z – 2 30. 3 – a = 4a + 12

Answer 1

1. w = 6

2. a = 3

3. c = 7

4. d = -2

5. e = 8

6. v = -4

7. n = -1

8. y = 9

9. h = -7

10. g = 3

Explanation:

1. 3w + 6 = 4w

3w - 4w = -6

-w = -6, thus w = 6

2. a + 18 = 7a

a - 7a = -18

-6a = -18

a = 18/6 = 3

3. 8c = 5c + 21

8c - 5c = 21

3c = 21

c = 21/3 = 7

4. 11d + 10 = 6d

11d - 6d = -10

5d = -10

d = -10/5 = -2

5. 2e = 4e - 16

2e - 4e = -16

-2e = -16

e = 16/2 = 8

6. 7v = 2v - 20

7v - 2v = -20

5v = -20

v = -20/5 = -4

7. 4n - 6 = 10n

4n - 10n = 6

-6n = 6

n = -6/6 = -1

8. 2y + 27 = 5y

2y - 5y = -27

-3y = -27

y = 27/3 = 9

9. 8h = 6h - 14

8h - 6h = -14

2h = -14

h = -14/2 = -7

10. 18 - 2g = 4g

-2g - 4g = -18

-6g = -18

g = 18/6 = 3