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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 196 · 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.Manav is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  2. 2.Solve: 5(t + 7) = 40. What is t?
  3. 3.Solve: x/3 + 9 = 11. What is x?
  4. 4.Diya thinks of a number, multiplies it by 5 and then adds 23. The result is 33. What is the number?
  5. 5.Solve: t/6 + 6 = 8. What is t?
  6. 6.Solve: 8m + 13 = 133. What is m?
  7. 7.Solve: 2x − 10 = 2. What is x?
  8. 8.Solve: 6(t + 3) = 96. What is t?
  9. 9.Solve: 4p − 3 = 33. What is p?
  10. 10.Solve: 7n + 11 = 81. What is n?
  11. 11.Solve: m/8 + 10 = 16. What is m?
  12. 12.Solve: 8y + 7 = 47. What is y?
  13. 13.Aarav is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  14. 14.Meera’s mother is four times as old as Meera. Their ages add up to 70 years. How old is Meera?
  15. 15.Farhan thinks of a number, multiplies it by 6 and then adds 29. The result is 41. What is the number?
  16. 16.Solve: 9y + 14 = 140. What is y?
  17. 17.Solve: 6n − 5 = 85. What is n?
  18. 18.Solve: 4(m + 7) = 84. What is m?
  19. 19.Solve: 9x − 16 = 2. What is x?
  20. 20.Solve: 3m − 14 = 1. What is m?
  21. 21.Kabir thinks of a number, multiplies it by 6 and then adds 24. The result is 108. What is the number?
  22. 22.Solve: t/8 + 2 = 3. What is t?
  23. 23.Tara thinks of a number, multiplies it by 8 and then adds 7. The result is 47. What is the number?
  24. 24.Solve: 5y − 5 = 15. What is y?
  25. 25.Solve: 6x − 10 = 50. What is x?
  26. 26.Riya thinks of a number, multiplies it by 3 and then adds 14. The result is 35. What is the number?
  27. 27.Solve: 9y + 4 = 76. What is y?
  28. 28.Solve: 2x + 2 = 28. What is x?
  29. 29.Solve: 9t − 35 = 46. What is t?
  30. 30.Solve: 3p − 23 = 19. What is p?
  31. 31.Solve: 2(x + 2) = 32. What is x?
  32. 32.Solve: p/5 + 10 = 16. What is p?
  33. 33.Meera thinks of a number, multiplies it by 5 and then adds 2. The result is 22. What is the number?
  34. 34.Zoya’s mother is four times as old as Zoya. Their ages add up to 30 years. How old is Zoya?
  35. 35.Solve: 9y + 13 = 58. What is y?
  36. 36.Manav is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  37. 37.Solve: x/4 + 4 = 16. What is x?
  38. 38.Solve: 8(x + 4) = 40. What is x?
  39. 39.Solve: 5t + 9 = 39. What is t?
  40. 40.Solve: 4(n + 6) = 80. What is n?

Answer key

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

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