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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 36 · 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.Saanvi thinks of a number, multiplies it by 9 and then adds 2. The result is 92. What is the number?
  2. 2.Solve: 6m + 14 = 26. What is m?
  3. 3.Solve: 5p + 13 = 58. What is p?
  4. 4.Solve: 3p − 7 = 17. What is p?
  5. 5.Solve: 7(n + 6) = 133. What is n?
  6. 6.Solve: x/2 + 3 = 14. What is x?
  7. 7.Isha is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  8. 8.Solve: 4n + 26 = 78. What is n?
  9. 9.Diya is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  10. 10.Riya’s mother is four times as old as Riya. Their ages add up to 25 years. How old is Riya?
  11. 11.Priya’s mother is four times as old as Priya. Their ages add up to 45 years. How old is Priya?
  12. 12.Solve: 9m + 25 = 43. What is m?
  13. 13.Vivaan thinks of a number, multiplies it by 4 and then adds 20. The result is 28. What is the number?
  14. 14.Lakshmi is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  15. 15.Solve: y/7 + 5 = 15. What is y?
  16. 16.Manav is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  17. 17.Karan thinks of a number, multiplies it by 5 and then adds 1. The result is 11. What is the number?
  18. 18.Solve: 9p − 18 = 45. What is p?
  19. 19.Solve: 5y + 7 = 67. What is y?
  20. 20.Solve: 6p − 14 = 10. What is p?
  21. 21.Solve: 5y + 30 = 65. What is y?
  22. 22.Solve: m/4 + 2 = 17. What is m?
  23. 23.Solve: 2m − 3 = 1. What is m?
  24. 24.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 40 years. How old is Vivaan?
  25. 25.Solve: 7p − 19 = 23. What is p?
  26. 26.Solve: 2y + 12 = 40. What is y?
  27. 27.Solve: 3(y + 6) = 30. What is y?
  28. 28.Solve: 3t + 19 = 43. What is t?
  29. 29.Solve: 6x − 2 = 70. What is x?
  30. 30.Solve: 8p + 20 = 124. What is p?
  31. 31.Solve: 4(p + 9) = 44. What is p?
  32. 32.Joseph thinks of a number, multiplies it by 6 and then adds 28. The result is 40. What is the number?
  33. 33.Vivaan thinks of a number, multiplies it by 4 and then adds 10. The result is 50. What is the number?
  34. 34.Zoya’s mother is four times as old as Zoya. Their ages add up to 40 years. How old is Zoya?
  35. 35.Priya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  36. 36.Solve: 6(x + 5) = 108. What is x?
  37. 37.Solve: 6(n + 8) = 54. What is n?
  38. 38.Solve: 4(m + 8) = 80. What is m?
  39. 39.Solve: m/9 + 7 = 13. What is m?
  40. 40.Solve: 4y + 5 = 17. What is y?

Answer key

  1. 10
  2. 2
  3. 9
  4. 8
  5. 13
  6. 22
  7. 14
  8. 13
  9. 12
  10. 5
  11. 9
  12. 2
  13. 2
  14. 10
  15. 70
  16. 11
  17. 2
  18. 7
  19. 12
  20. 4
  21. 7
  22. 60
  23. 2
  24. 8
  25. 6
  26. 14
  27. 4
  28. 8
  29. 12
  30. 13
  31. 2
  32. 2
  33. 10
  34. 8
  35. 5
  36. 13
  37. 1
  38. 12
  39. 54
  40. 3

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