Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 999 · 40 sums

The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

1. 1.Solve: 3(t + 5) = 51. What is t?
2. 2.Solve: 9y + 1 = 10. What is y?
3. 3.Gurpreet thinks of a number, multiplies it by 6 and then adds 29. The result is 59. What is the number?
4. 4.Solve: 5x + 5 = 65. What is x?
5. 5.Solve: x/9 + 12 = 13. What is x?
6. 6.Solve: 2m + 27 = 29. What is m?
7. 7.Solve: 2y + 25 = 29. What is y?
8. 8.Solve: 4m + 4 = 24. What is m?
9. 9.Farhan thinks of a number, multiplies it by 3 and then adds 17. The result is 44. What is the number?
10. 10.Solve: n/5 + 7 = 22. What is n?
11. 11.Solve: 8p + 14 = 110. What is p?
12. 12.Solve: 7t + 23 = 51. What is t?
13. 13.Solve: 2x + 3 = 29. What is x?
14. 14.Solve: 4(t + 7) = 84. What is t?
15. 15.Solve: 8(m + 4) = 96. What is m?
16. 16.Joseph thinks of a number, multiplies it by 3 and then adds 21. The result is 39. What is the number?
17. 17.Solve: 2y + 6 = 22. What is y?
18. 18.Solve: 5y − 11 = 44. What is y?
19. 19.Solve: 9(x + 2) = 27. What is x?
20. 20.Solve: 3y + 13 = 43. What is y?
21. 21.Solve: 7x + 24 = 122. What is x?
22. 22.Solve: 9n − 56 = 16. What is n?
23. 23.Dev thinks of a number, multiplies it by 3 and then adds 2. The result is 41. What is the number?
24. 24.Farhan thinks of a number, multiplies it by 2 and then adds 4. The result is 20. What is the number?
25. 25.Solve: 2y + 2 = 30. What is y?
26. 26.Solve: 7t + 20 = 90. What is t?
27. 27.Manav thinks of a number, multiplies it by 5 and then adds 8. The result is 43. What is the number?
28. 28.Aarav thinks of a number, multiplies it by 2 and then adds 26. The result is 48. What is the number?
29. 29.Solve: 9n + 8 = 107. What is n?
30. 30.Solve: n/6 + 12 = 15. What is n?
31. 31.Solve: 7y − 47 = 16. What is y?
32. 32.Rohan’s mother is twice as old as Rohan. Their ages add up to 12 years. How old is Rohan?
33. 33.Solve: n/2 + 9 = 11. What is n?
34. 34.Kavya thinks of a number, multiplies it by 2 and then adds 1. The result is 29. What is the number?
35. 35.Aditya’s mother is four times as old as Aditya. Their ages add up to 25 years. How old is Aditya?
36. 36.Solve: 4(y + 6) = 60. What is y?
37. 37.Solve: 3x − 3 = 6. What is x?
38. 38.Solve: 7(p + 4) = 56. What is p?
39. 39.Solve: 4y + 6 = 58. What is y?
40. 40.Saanvi is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?

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