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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 468 · 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.Meera thinks of a number, multiplies it by 6 and then adds 19. The result is 91. What is the number?
  2. 2.Saanvi thinks of a number, multiplies it by 5 and then adds 26. The result is 46. What is the number?
  3. 3.Solve: 9x − 87 = 39. What is x?
  4. 4.Kavya thinks of a number, multiplies it by 6 and then adds 4. The result is 16. What is the number?
  5. 5.Solve: 9(m + 6) = 189. What is m?
  6. 6.Solve: 4t − 15 = 29. What is t?
  7. 7.Solve: m/7 + 6 = 21. What is m?
  8. 8.Solve: x/5 + 4 = 6. What is x?
  9. 9.Solve: 4m + 27 = 55. What is m?
  10. 10.Solve: 3y + 10 = 31. What is y?
  11. 11.Kavya is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  12. 12.Isha thinks of a number, multiplies it by 5 and then adds 10. The result is 35. What is the number?
  13. 13.Solve: 6t − 49 = 23. What is t?
  14. 14.Solve: y/5 + 13 = 23. What is y?
  15. 15.Solve: 3(p + 9) = 72. What is p?
  16. 16.Solve: n/6 + 16 = 18. What is n?
  17. 17.Tara is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  18. 18.Priya thinks of a number, multiplies it by 6 and then adds 30. The result is 120. What is the number?
  19. 19.Solve: 5p + 29 = 89. What is p?
  20. 20.Solve: 2m + 12 = 26. What is m?
  21. 21.Solve: 5t + 1 = 6. What is t?
  22. 22.Isha is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  23. 23.Solve: 3n + 3 = 39. What is n?
  24. 24.Solve: 3n + 18 = 48. What is n?
  25. 25.Solve: 8x + 4 = 52. What is x?
  26. 26.Solve: 5n − 54 = 16. What is n?
  27. 27.Solve: 4y + 5 = 13. What is y?
  28. 28.Aarav is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  29. 29.Solve: y/3 + 13 = 19. What is y?
  30. 30.Solve: 6(p + 5) = 66. What is p?
  31. 31.Solve: m/4 + 16 = 31. What is m?
  32. 32.Solve: 2m − 2 = 14. What is m?
  33. 33.Solve: 5m + 5 = 10. What is m?
  34. 34.Solve: 7(n + 2) = 35. What is n?
  35. 35.Aarav thinks of a number, multiplies it by 9 and then adds 17. The result is 125. What is the number?
  36. 36.Diya’s mother is three times as old as Diya. Their ages add up to 16 years. How old is Diya?
  37. 37.Riya’s mother is three times as old as Riya. Their ages add up to 36 years. How old is Riya?
  38. 38.Solve: m/7 + 20 = 32. What is m?
  39. 39.Tara is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  40. 40.Solve: 7t + 6 = 62. What is t?

Answer key

  1. 12
  2. 4
  3. 14
  4. 2
  5. 15
  6. 11
  7. 105
  8. 10
  9. 7
  10. 7
  11. 7
  12. 5
  13. 12
  14. 50
  15. 15
  16. 12
  17. 14
  18. 15
  19. 12
  20. 7
  21. 1
  22. 7
  23. 12
  24. 10
  25. 6
  26. 14
  27. 2
  28. 7
  29. 18
  30. 6
  31. 60
  32. 8
  33. 1
  34. 3
  35. 12
  36. 4
  37. 9
  38. 84
  39. 8
  40. 8

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