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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 291 · 40 sums
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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.

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  1. 1.Solve: 6(m + 6) = 84. What is m?
  2. 2.Solve: 6(n + 4) = 54. What is n?
  3. 3.Solve: 3(m + 5) = 57. What is m?
  4. 4.Solve: n/3 + 20 = 25. What is n?
  5. 5.Solve: 2(x + 1) = 4. What is x?
  6. 6.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 30 years. How old is Ishaan?
  7. 7.Solve: 2(n + 3) = 8. What is n?
  8. 8.Solve: 8(m + 2) = 128. What is m?
  9. 9.Solve: 2y + 9 = 35. What is y?
  10. 10.Saanvi thinks of a number, multiplies it by 9 and then adds 4. The result is 31. What is the number?
  11. 11.Ananya thinks of a number, multiplies it by 3 and then adds 22. The result is 28. What is the number?
  12. 12.Kavya is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  13. 13.Meera is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  14. 14.Solve: 2(p + 1) = 6. What is p?
  15. 15.Solve: y/7 + 6 = 7. What is y?
  16. 16.Arjun thinks of a number, multiplies it by 4 and then adds 20. The result is 56. What is the number?
  17. 17.Solve: x/9 + 14 = 16. What is x?
  18. 18.Solve: 9p + 2 = 119. What is p?
  19. 19.Solve: 3t − 16 = 20. What is t?
  20. 20.Solve: 5m − 12 = 53. What is m?
  21. 21.Rahul’s mother is four times as old as Rahul. Their ages add up to 40 years. How old is Rahul?
  22. 22.Rahul thinks of a number, multiplies it by 8 and then adds 7. The result is 39. What is the number?
  23. 23.Solve: 2(y + 8) = 22. What is y?
  24. 24.Priya thinks of a number, multiplies it by 6 and then adds 26. The result is 44. What is the number?
  25. 25.Solve: 6(y + 2) = 66. What is y?
  26. 26.Solve: 9(n + 9) = 189. What is n?
  27. 27.Solve: p/6 + 4 = 9. What is p?
  28. 28.Solve: 8n − 29 = 75. What is n?
  29. 29.Solve: 6y + 24 = 114. What is y?
  30. 30.Solve: 9p − 3 = 15. What is p?
  31. 31.Solve: 3t + 18 = 27. What is t?
  32. 32.Solve: 7x + 28 = 98. What is x?
  33. 33.Solve: 5t + 19 = 24. What is t?
  34. 34.Manav thinks of a number, multiplies it by 3 and then adds 30. The result is 51. What is the number?
  35. 35.Solve: n/4 + 5 = 17. What is n?
  36. 36.Solve: x/4 + 3 = 15. What is x?
  37. 37.Solve: 4(y + 8) = 60. What is y?
  38. 38.Arjun is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  39. 39.Solve: 4m + 1 = 61. What is m?
  40. 40.Solve: 9t − 45 = 27. What is t?

Answer key

  1. 8
  2. 5
  3. 14
  4. 15
  5. 1
  6. 10
  7. 1
  8. 14
  9. 13
  10. 3
  11. 2
  12. 11
  13. 9
  14. 2
  15. 7
  16. 9
  17. 18
  18. 13
  19. 12
  20. 13
  21. 8
  22. 4
  23. 3
  24. 3
  25. 9
  26. 12
  27. 30
  28. 13
  29. 15
  30. 2
  31. 3
  32. 10
  33. 1
  34. 7
  35. 48
  36. 48
  37. 7
  38. 7
  39. 15
  40. 8

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