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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 959 · 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.Isha thinks of a number, multiplies it by 9 and then adds 29. The result is 164. What is the number?
  2. 2.Solve: 6x − 9 = 21. What is x?
  3. 3.Solve: 2y + 25 = 33. What is y?
  4. 4.Solve: t/9 + 4 = 8. What is t?
  5. 5.Solve: 3p − 4 = 5. What is p?
  6. 6.Solve: 8t − 15 = 17. What is t?
  7. 7.Solve: 7n − 11 = 24. What is n?
  8. 8.Solve: 2x − 2 = 2. What is x?
  9. 9.Solve: 4x + 4 = 32. What is x?
  10. 10.Priya thinks of a number, multiplies it by 2 and then adds 10. The result is 12. What is the number?
  11. 11.Meera thinks of a number, multiplies it by 4 and then adds 4. The result is 60. What is the number?
  12. 12.Solve: m/5 + 9 = 23. What is m?
  13. 13.Solve: y/3 + 1 = 9. What is y?
  14. 14.Solve: 4m − 46 = 14. What is m?
  15. 15.Solve: 4t + 5 = 33. What is t?
  16. 16.Solve: 6m − 26 = 4. What is m?
  17. 17.Solve: 8p − 2 = 46. What is p?
  18. 18.Ananya thinks of a number, multiplies it by 8 and then adds 14. The result is 118. What is the number?
  19. 19.Ananya’s mother is four times as old as Ananya. Their ages add up to 75 years. How old is Ananya?
  20. 20.Solve: 4p − 4 = 4. What is p?
  21. 21.Solve: 2(n + 9) = 48. What is n?
  22. 22.Pooja is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  23. 23.Solve: x/9 + 12 = 21. What is x?
  24. 24.Nisha’s mother is four times as old as Nisha. Their ages add up to 25 years. How old is Nisha?
  25. 25.Rohan thinks of a number, multiplies it by 7 and then adds 8. The result is 85. What is the number?
  26. 26.Solve: 7m + 3 = 73. What is m?
  27. 27.Solve: 3n − 9 = 3. What is n?
  28. 28.Solve: 3(t + 1) = 12. What is t?
  29. 29.Solve: 7y + 22 = 43. What is y?
  30. 30.Diya thinks of a number, multiplies it by 2 and then adds 15. The result is 35. What is the number?
  31. 31.Solve: 5n + 8 = 13. What is n?
  32. 32.Solve: x/5 + 5 = 11. What is x?
  33. 33.Karan is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  34. 34.Solve: 3(m + 9) = 54. What is m?
  35. 35.Solve: 2(p + 9) = 44. What is p?
  36. 36.Diya’s mother is three times as old as Diya. Their ages add up to 28 years. How old is Diya?
  37. 37.Solve: 8x − 6 = 50. What is x?
  38. 38.Solve: 4(m + 7) = 44. What is m?
  39. 39.Solve: t/9 + 19 = 25. What is t?
  40. 40.Zoya’s mother is four times as old as Zoya. Their ages add up to 65 years. How old is Zoya?

Answer key

  1. 15
  2. 5
  3. 4
  4. 36
  5. 3
  6. 4
  7. 5
  8. 2
  9. 7
  10. 1
  11. 14
  12. 70
  13. 24
  14. 15
  15. 7
  16. 5
  17. 6
  18. 13
  19. 15
  20. 2
  21. 15
  22. 7
  23. 81
  24. 5
  25. 11
  26. 10
  27. 4
  28. 3
  29. 3
  30. 10
  31. 1
  32. 30
  33. 8
  34. 9
  35. 13
  36. 7
  37. 7
  38. 4
  39. 54
  40. 13

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