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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 819 · 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: 5(m + 9) = 75. What is m?
  2. 2.Ishaan is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  3. 3.Isha thinks of a number, multiplies it by 9 and then adds 27. The result is 117. What is the number?
  4. 4.Solve: t/9 + 8 = 22. What is t?
  5. 5.Solve: m/3 + 10 = 20. What is m?
  6. 6.Solve: 2n + 15 = 37. What is n?
  7. 7.Solve: 8p + 7 = 39. What is p?
  8. 8.Solve: y/3 + 2 = 15. What is y?
  9. 9.Solve: 6(m + 9) = 108. What is m?
  10. 10.Solve: 4n + 15 = 27. What is n?
  11. 11.Solve: 4(m + 1) = 12. What is m?
  12. 12.Solve: 7(y + 3) = 28. What is y?
  13. 13.Isha thinks of a number, multiplies it by 6 and then adds 17. The result is 23. What is the number?
  14. 14.Solve: 8m − 37 = 51. What is m?
  15. 15.Solve: t/5 + 5 = 18. What is t?
  16. 16.Solve: 6x + 4 = 52. What is x?
  17. 17.Gurpreet thinks of a number, multiplies it by 5 and then adds 13. The result is 23. What is the number?
  18. 18.Solve: 3p + 27 = 39. What is p?
  19. 19.Solve: 4t − 7 = 1. What is t?
  20. 20.Manav is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  21. 21.Solve: p/2 + 16 = 24. What is p?
  22. 22.Solve: 4m + 28 = 40. What is m?
  23. 23.Solve: 7(x + 7) = 119. What is x?
  24. 24.Solve: 2y − 5 = 11. What is y?
  25. 25.Solve: 9t + 26 = 71. What is t?
  26. 26.Solve: 8m + 20 = 76. What is m?
  27. 27.Arjun thinks of a number, multiplies it by 4 and then adds 8. The result is 24. What is the number?
  28. 28.Solve: 8(p + 9) = 128. What is p?
  29. 29.Solve: 3x − 4 = 38. What is x?
  30. 30.Solve: 4(y + 5) = 76. What is y?
  31. 31.Solve: m/5 + 5 = 9. What is m?
  32. 32.Solve: x/6 + 15 = 29. What is x?
  33. 33.Solve: 2t − 2 = 4. What is t?
  34. 34.Manav thinks of a number, multiplies it by 3 and then adds 9. The result is 51. What is the number?
  35. 35.Solve: 2x − 8 = 22. What is x?
  36. 36.Solve: 7t + 5 = 19. What is t?
  37. 37.Solve: 7y + 11 = 46. What is y?
  38. 38.Farhan thinks of a number, multiplies it by 5 and then adds 6. The result is 11. What is the number?
  39. 39.Solve: 2(x + 2) = 14. What is x?
  40. 40.Solve: 4t − 1 = 3. What is t?

Answer key

  1. 6
  2. 8
  3. 10
  4. 126
  5. 30
  6. 11
  7. 4
  8. 39
  9. 9
  10. 3
  11. 2
  12. 1
  13. 1
  14. 11
  15. 65
  16. 8
  17. 2
  18. 4
  19. 2
  20. 5
  21. 16
  22. 3
  23. 10
  24. 8
  25. 5
  26. 7
  27. 4
  28. 7
  29. 14
  30. 14
  31. 20
  32. 84
  33. 3
  34. 14
  35. 15
  36. 2
  37. 5
  38. 1
  39. 5
  40. 1

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