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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 448 · 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.Riya thinks of a number, multiplies it by 2 and then adds 27. The result is 29. What is the number?
  2. 2.Solve: 9t − 37 = 98. What is t?
  3. 3.Zoya is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  4. 4.Solve: y/4 + 6 = 9. What is y?
  5. 5.Solve: 5t − 14 = 36. What is t?
  6. 6.Solve: p/4 + 1 = 9. What is p?
  7. 7.Solve: 6x + 8 = 56. What is x?
  8. 8.Manav thinks of a number, multiplies it by 2 and then adds 27. The result is 29. What is the number?
  9. 9.Solve: 9(n + 8) = 207. What is n?
  10. 10.Solve: 3(x + 1) = 30. What is x?
  11. 11.Solve: 6m − 22 = 2. What is m?
  12. 12.Aditya is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  13. 13.Solve: 4(y + 5) = 64. What is y?
  14. 14.Solve: n/2 + 12 = 16. What is n?
  15. 15.Solve: 5y + 8 = 68. What is y?
  16. 16.Solve: y/2 + 10 = 22. What is y?
  17. 17.Riya thinks of a number, multiplies it by 2 and then adds 17. The result is 29. What is the number?
  18. 18.Solve: 4y − 15 = 13. What is y?
  19. 19.Solve: 5(x + 4) = 80. What is x?
  20. 20.Nisha thinks of a number, multiplies it by 9 and then adds 5. The result is 86. What is the number?
  21. 21.Tara is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  22. 22.Solve: 6x + 6 = 30. What is x?
  23. 23.Kabir thinks of a number, multiplies it by 4 and then adds 30. The result is 58. What is the number?
  24. 24.Solve: 5(m + 5) = 100. What is m?
  25. 25.Solve: 7m + 22 = 113. What is m?
  26. 26.Manav’s mother is four times as old as Manav. Their ages add up to 40 years. How old is Manav?
  27. 27.Solve: 4y − 35 = 25. What is y?
  28. 28.Solve: 4(n + 9) = 40. What is n?
  29. 29.Solve: 3(n + 1) = 6. What is n?
  30. 30.Solve: 4(x + 6) = 40. What is x?
  31. 31.Solve: 3m + 26 = 35. What is m?
  32. 32.Solve: 9m − 30 = 24. What is m?
  33. 33.Solve: 4m + 23 = 39. What is m?
  34. 34.Solve: 8n − 9 = 111. What is n?
  35. 35.Solve: 2(x + 2) = 24. What is x?
  36. 36.Arjun is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  37. 37.Solve: x/8 + 3 = 15. What is x?
  38. 38.Kabir thinks of a number, multiplies it by 4 and then adds 4. The result is 56. What is the number?
  39. 39.Solve: 7m − 2 = 5. What is m?
  40. 40.Solve: 6p − 35 = 19. What is p?

Answer key

  1. 1
  2. 15
  3. 11
  4. 12
  5. 10
  6. 32
  7. 8
  8. 1
  9. 15
  10. 9
  11. 4
  12. 14
  13. 11
  14. 8
  15. 12
  16. 24
  17. 6
  18. 7
  19. 12
  20. 9
  21. 13
  22. 4
  23. 7
  24. 15
  25. 13
  26. 8
  27. 15
  28. 1
  29. 1
  30. 4
  31. 3
  32. 6
  33. 4
  34. 15
  35. 10
  36. 11
  37. 96
  38. 13
  39. 1
  40. 9

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