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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 44 · 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.Ishaan is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  2. 2.Solve: 3n − 7 = 5. What is n?
  3. 3.Solve: 6m + 1 = 49. What is m?
  4. 4.Solve: 3(y + 4) = 30. What is y?
  5. 5.Isha thinks of a number, multiplies it by 4 and then adds 6. The result is 26. What is the number?
  6. 6.Solve: 8y + 1 = 17. What is y?
  7. 7.Solve: 4(y + 7) = 44. What is y?
  8. 8.Solve: 8m − 1 = 15. What is m?
  9. 9.Solve: n/3 + 6 = 17. What is n?
  10. 10.Solve: t/8 + 12 = 17. What is t?
  11. 11.Arjun’s mother is twice as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  12. 12.Ishaan thinks of a number, multiplies it by 7 and then adds 12. The result is 40. What is the number?
  13. 13.Solve: t/9 + 15 = 19. What is t?
  14. 14.Solve: 5x − 42 = 8. What is x?
  15. 15.Solve: 5x − 1 = 39. What is x?
  16. 16.Arjun’s mother is four times as old as Arjun. Their ages add up to 70 years. How old is Arjun?
  17. 17.Solve: 3x + 19 = 43. What is x?
  18. 18.Ishaan thinks of a number, multiplies it by 6 and then adds 23. The result is 29. What is the number?
  19. 19.Solve: 7(p + 6) = 105. What is p?
  20. 20.Solve: 5n + 2 = 57. What is n?
  21. 21.Solve: 7(n + 6) = 56. What is n?
  22. 22.Solve: 8t − 20 = 4. What is t?
  23. 23.Solve: y/9 + 11 = 12. What is y?
  24. 24.Solve: n/2 + 18 = 32. What is n?
  25. 25.Solve: p/2 + 9 = 22. What is p?
  26. 26.Solve: 4x − 58 = 2. What is x?
  27. 27.Solve: 9x + 20 = 38. What is x?
  28. 28.Zoya is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  29. 29.Aarav thinks of a number, multiplies it by 4 and then adds 3. The result is 23. What is the number?
  30. 30.Solve: 2(m + 9) = 20. What is m?
  31. 31.Kabir thinks of a number, multiplies it by 4 and then adds 16. The result is 40. What is the number?
  32. 32.Solve: 4x + 1 = 41. What is x?
  33. 33.Solve: 5x − 5 = 25. What is x?
  34. 34.Zoya thinks of a number, multiplies it by 7 and then adds 8. The result is 99. What is the number?
  35. 35.Karan thinks of a number, multiplies it by 8 and then adds 4. The result is 68. What is the number?
  36. 36.Karan is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  37. 37.Solve: 5y + 6 = 81. What is y?
  38. 38.Solve: 2x + 24 = 30. What is x?
  39. 39.Solve: 8y − 59 = 29. What is y?
  40. 40.Arjun thinks of a number, multiplies it by 7 and then adds 3. The result is 94. What is the number?

Answer key

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

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