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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 139 · 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: 7(m + 1) = 84. What is m?
  2. 2.Solve: 4(x + 5) = 76. What is x?
  3. 3.Solve: 3p + 1 = 31. What is p?
  4. 4.Solve: 2y + 13 = 17. What is y?
  5. 5.Solve: 7t − 6 = 1. What is t?
  6. 6.Solve: 8y + 21 = 141. What is y?
  7. 7.Solve: 6(y + 2) = 18. What is y?
  8. 8.Ananya is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  9. 9.Solve: 3n + 23 = 44. What is n?
  10. 10.Solve: 7(t + 4) = 133. What is t?
  11. 11.Solve: n/2 + 3 = 15. What is n?
  12. 12.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 18 years. How old is Vivaan?
  13. 13.Solve: 3m + 26 = 29. What is m?
  14. 14.Solve: 3p − 8 = 1. What is p?
  15. 15.Aditya thinks of a number, multiplies it by 2 and then adds 19. The result is 41. What is the number?
  16. 16.Solve: x/7 + 11 = 18. What is x?
  17. 17.Solve: 9y − 24 = 111. What is y?
  18. 18.Diya thinks of a number, multiplies it by 7 and then adds 8. The result is 36. What is the number?
  19. 19.Solve: 2(m + 6) = 42. What is m?
  20. 20.Vivaan thinks of a number, multiplies it by 8 and then adds 3. The result is 43. What is the number?
  21. 21.Solve: 8p − 3 = 5. What is p?
  22. 22.Solve: 5n + 26 = 91. What is n?
  23. 23.Solve: 3m − 2 = 7. What is m?
  24. 24.Solve: t/9 + 11 = 17. What is t?
  25. 25.Solve: 2p + 7 = 31. What is p?
  26. 26.Solve: 7(t + 8) = 105. What is t?
  27. 27.Joseph thinks of a number, multiplies it by 8 and then adds 27. The result is 51. What is the number?
  28. 28.Solve: 4(n + 4) = 64. What is n?
  29. 29.Solve: x/4 + 4 = 9. What is x?
  30. 30.Solve: 8y + 15 = 55. What is y?
  31. 31.Solve: 2p − 6 = 6. What is p?
  32. 32.Ananya is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  33. 33.Solve: 4(n + 9) = 80. What is n?
  34. 34.Solve: 4(y + 9) = 64. What is y?
  35. 35.Arjun is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  36. 36.Solve: t/4 + 11 = 12. What is t?
  37. 37.Karan is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  38. 38.Solve: 2x − 4 = 4. What is x?
  39. 39.Rohan is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  40. 40.Solve: 3x + 15 = 48. What is x?

Answer key

  1. 11
  2. 14
  3. 10
  4. 2
  5. 1
  6. 15
  7. 1
  8. 10
  9. 7
  10. 15
  11. 24
  12. 6
  13. 1
  14. 3
  15. 11
  16. 49
  17. 15
  18. 4
  19. 15
  20. 5
  21. 1
  22. 13
  23. 3
  24. 54
  25. 12
  26. 7
  27. 3
  28. 12
  29. 20
  30. 5
  31. 6
  32. 14
  33. 11
  34. 7
  35. 11
  36. 4
  37. 13
  38. 4
  39. 8
  40. 11

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