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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 320 · 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: 9(p + 2) = 126. What is p?
  2. 2.Solve: 5y − 10 = 5. What is y?
  3. 3.Kavya thinks of a number, multiplies it by 5 and then adds 29. The result is 84. What is the number?
  4. 4.Nisha thinks of a number, multiplies it by 5 and then adds 12. The result is 72. What is the number?
  5. 5.Manav thinks of a number, multiplies it by 3 and then adds 8. The result is 11. What is the number?
  6. 6.Nisha thinks of a number, multiplies it by 4 and then adds 6. The result is 50. What is the number?
  7. 7.Solve: 9p − 3 = 15. What is p?
  8. 8.Solve: 8n + 7 = 55. What is n?
  9. 9.Solve: n/6 + 13 = 20. What is n?
  10. 10.Solve: t/3 + 1 = 3. What is t?
  11. 11.Solve: 3x + 5 = 29. What is x?
  12. 12.Solve: 3(y + 3) = 51. What is y?
  13. 13.Solve: 6m + 13 = 31. What is m?
  14. 14.Solve: 5x + 3 = 73. What is x?
  15. 15.Solve: 5t + 8 = 43. What is t?
  16. 16.Solve: 7n + 11 = 95. What is n?
  17. 17.Solve: 7n + 10 = 52. What is n?
  18. 18.Aarav thinks of a number, multiplies it by 3 and then adds 28. The result is 46. What is the number?
  19. 19.Solve: y/8 + 15 = 22. What is y?
  20. 20.Solve: 9(m + 1) = 144. What is m?
  21. 21.Solve: n/4 + 17 = 26. What is n?
  22. 22.Solve: 9(p + 1) = 90. What is p?
  23. 23.Ishaan is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  24. 24.Solve: 4y + 24 = 40. What is y?
  25. 25.Nisha thinks of a number, multiplies it by 7 and then adds 18. The result is 32. What is the number?
  26. 26.Saanvi is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  27. 27.Solve: p/4 + 14 = 17. What is p?
  28. 28.Solve: 9x + 3 = 48. What is x?
  29. 29.Riya thinks of a number, multiplies it by 9 and then adds 5. The result is 86. What is the number?
  30. 30.Solve: x/5 + 20 = 29. What is x?
  31. 31.Solve: 4y + 10 = 22. What is y?
  32. 32.Solve: 2(y + 3) = 34. What is y?
  33. 33.Riya thinks of a number, multiplies it by 9 and then adds 19. The result is 136. What is the number?
  34. 34.Diya thinks of a number, multiplies it by 4 and then adds 29. The result is 65. What is the number?
  35. 35.Arjun thinks of a number, multiplies it by 4 and then adds 11. The result is 35. What is the number?
  36. 36.Solve: n/6 + 9 = 24. What is n?
  37. 37.Solve: p/6 + 16 = 17. What is p?
  38. 38.Solve: p/2 + 10 = 18. What is p?
  39. 39.Solve: 9y − 22 = 104. What is y?
  40. 40.Solve: 7(n + 3) = 35. What is n?

Answer key

  1. 12
  2. 3
  3. 11
  4. 12
  5. 1
  6. 11
  7. 2
  8. 6
  9. 42
  10. 6
  11. 8
  12. 14
  13. 3
  14. 14
  15. 7
  16. 12
  17. 6
  18. 6
  19. 56
  20. 15
  21. 36
  22. 9
  23. 10
  24. 4
  25. 2
  26. 11
  27. 12
  28. 5
  29. 9
  30. 45
  31. 3
  32. 14
  33. 13
  34. 9
  35. 6
  36. 90
  37. 6
  38. 16
  39. 14
  40. 2

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