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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 715 · 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.Nisha’s mother is twice as old as Nisha. Their ages add up to 21 years. How old is Nisha?
  2. 2.Solve: 4(m + 2) = 16. What is m?
  3. 3.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 18 years. How old is Vivaan?
  4. 4.Rohan thinks of a number, multiplies it by 6 and then adds 20. The result is 98. What is the number?
  5. 5.Solve: 6x − 23 = 55. What is x?
  6. 6.Arjun thinks of a number, multiplies it by 9 and then adds 8. The result is 44. What is the number?
  7. 7.Solve: 2x − 12 = 10. What is x?
  8. 8.Solve: 8y − 2 = 22. What is y?
  9. 9.Solve: 9(t + 2) = 126. What is t?
  10. 10.Solve: 7t + 30 = 86. What is t?
  11. 11.Solve: 2n + 18 = 46. What is n?
  12. 12.Solve: 8x + 3 = 35. What is x?
  13. 13.Pooja thinks of a number, multiplies it by 9 and then adds 13. The result is 148. What is the number?
  14. 14.Sneha thinks of a number, multiplies it by 5 and then adds 6. The result is 71. What is the number?
  15. 15.Farhan’s mother is three times as old as Farhan. Their ages add up to 24 years. How old is Farhan?
  16. 16.Ananya thinks of a number, multiplies it by 4 and then adds 16. The result is 28. What is the number?
  17. 17.Solve: 7m + 11 = 39. What is m?
  18. 18.Solve: 8m + 17 = 49. What is m?
  19. 19.Solve: m/7 + 17 = 20. What is m?
  20. 20.Nisha’s mother is twice as old as Nisha. Their ages add up to 27 years. How old is Nisha?
  21. 21.Tara thinks of a number, multiplies it by 4 and then adds 7. The result is 11. What is the number?
  22. 22.Solve: m/3 + 5 = 15. What is m?
  23. 23.Solve: 7n + 24 = 38. What is n?
  24. 24.Solve: y/6 + 2 = 16. What is y?
  25. 25.Solve: p/2 + 8 = 22. What is p?
  26. 26.Solve: p/6 + 12 = 15. What is p?
  27. 27.Meera thinks of a number, multiplies it by 4 and then adds 11. The result is 67. What is the number?
  28. 28.Solve: p/9 + 3 = 5. What is p?
  29. 29.Solve: 6y + 30 = 36. What is y?
  30. 30.Solve: 7(y + 7) = 112. What is y?
  31. 31.Solve: 4y − 43 = 5. What is y?
  32. 32.Nisha thinks of a number, multiplies it by 9 and then adds 8. The result is 17. What is the number?
  33. 33.Solve: 4(p + 6) = 60. What is p?
  34. 34.Solve: 9y − 120 = 15. What is y?
  35. 35.Solve: 3n + 3 = 15. What is n?
  36. 36.Solve: 3x + 19 = 64. What is x?
  37. 37.Solve: 4(t + 2) = 64. What is t?
  38. 38.Solve: 2(p + 2) = 30. What is p?
  39. 39.Solve: 2t + 27 = 39. What is t?
  40. 40.Solve: y/2 + 5 = 20. What is y?

Answer key

  1. 7
  2. 2
  3. 6
  4. 13
  5. 13
  6. 4
  7. 11
  8. 3
  9. 12
  10. 8
  11. 14
  12. 4
  13. 15
  14. 13
  15. 6
  16. 3
  17. 4
  18. 4
  19. 21
  20. 9
  21. 1
  22. 30
  23. 2
  24. 84
  25. 28
  26. 18
  27. 14
  28. 18
  29. 1
  30. 9
  31. 12
  32. 1
  33. 9
  34. 15
  35. 4
  36. 15
  37. 14
  38. 13
  39. 6
  40. 30

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