Linear Equations Worksheet

Name: ____________________________
Class: ____________________________
Date: ____________________________

A. Solve for x

1. x + 5 = 12 → x = ______
2. x + 8 = 20 → x = ______
3. x − 4 = 10 → x = ______
4. x − 7 = 15 → x = ______
5. 2x = 18 → x = ______
6. 3x = 24 → x = ______
7. 4x = 36 → x = ______
8. 5x = 45 → x = ______
9. x/2 = 7 → x = ______
10. x/3 = 9 → x = ______

B. One-Step Linear Equations

11. x + 14 = 25 → x = ______
12. x − 12 = 18 → x = ______
13. x + 21 = 40 → x = ______
14. x − 15 = 22 → x = ______
15. 6x = 54 → x = ______
16. 7x = 63 → x = ______
17. 8x = 72 → x = ______
18. 9x = 81 → x = ______
19. x/4 = 6 → x = ______
20. x/5 = 8 → x = ______

C. Two-Step Equations

21. 2x + 5 = 17 → x = ______
22. 3x + 4 = 19 → x = ______
23. 4x + 3 = 27 → x = ______
24. 5x + 2 = 32 → x = ______
25. 2x − 3 = 15 → x = ______
26. 3x − 5 = 16 → x = ______
27. 4x − 7 = 21 → x = ______
28. 5x − 4 = 31 → x = ______
29. 6x + 2 = 38 → x = ______
30. 7x − 6 = 43 → x = ______

D. Equations with Brackets

31. 2(x + 3) = 16 → x = ______
32. 3(x + 2) = 21 → x = ______
33. 4(x − 1) = 20 → x = ______
34. 5(x − 2) = 30 → x = ______
35. 2(x + 5) = 24 → x = ______
36. 3(x − 4) = 15 → x = ______
37. 4(x + 2) = 32 → x = ______
38. 5(x − 3) = 35 → x = ______

E. Equations with Variables on Both Sides

39. 2x + 5 = x + 12 → x = ______
40. 3x + 4 = x + 14 → x = ______
41. 4x − 3 = 2x + 9 → x = ______
42. 5x + 2 = 3x + 16 → x = ______
43. 6x − 4 = 2x + 20 → x = ______
44. 7x + 3 = 4x + 18 → x = ______
45. 8x − 6 = 5x + 12 → x = ______
46. 9x + 1 = 6x + 19 → x = ______

F. Multiple Choice

47. Solve: x + 9 = 15
    a) 4
    b) 5
    c) 6
    d) 7
48. Solve: 3x = 27
    a) 7
    b) 8
    c) 9
    d) 10
49. Solve: 2x + 6 = 20
    a) 6
    b) 7
    c) 8
    d) 9
50. Solve: 4x − 8 = 24
    a) 6
    b) 7
    c) 8
    d) 9
51. Solve: 5(x + 2) = 35
    a) 5
    b) 6
    c) 7
    d) 8
52. Solve: 3x + 5 = x + 15
    a) 4
    b) 5
    c) 6
    d) 7

G. Word Problems

53. A number increased by 8 is 20. Find the number.
54. Five times a number is 45. Find the number.
55. A number decreased by 12 is 18. Find the number.
56. Three times a number plus 4 equals 25. Find the number.
57. Twice a number minus 5 equals 17. Find the number.
58. A number divided by 4 equals 9. Find the number.
59. The sum of a number and 15 is 32. Find the number.
60. Seven times a number minus 3 equals 39. Find the number.

Total Questions: 60

Answer Key — Linear Equations Worksheet

A. Solve for x

1. 7
2. 12
3. 14
4. 22
5. 9
6. 8
7. 9
8. 9
9. 14
10. 27

B. One-Step Linear Equations

11. 11
12. 30
13. 19
14. 37
15. 9
16. 9
17. 9
18. 9
19. 24
20. 40

C. Two-Step Equations

21. 6
22. 5
23. 6
24. 6
25. 9
26. 7
27. 7
28. 7
29. 6
30. 7

D. Equations with Brackets

31. 5
32. 5
33. 6
34. 8
35. 7
36. 9
37. 6
38. 10

E. Variables on Both Sides

39. 7
40. 5
41. 6
42. 7
43. 6
44. 5
45. 6
46. 6

F. Multiple Choice

47. c) 6
48. c) 9
49. b) 7
50. c) 8
51. a) 5
52. b) 5

G. Word Problems

53. 12
54. 9
55. 30
56. 7
57. 11
58. 36
59. 17
60. 6