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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 989 · 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(x + 6) = 99. What is x?
  2. 2.Solve: 9m − 35 = 73. What is m?
  3. 3.Meera is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  4. 4.Solve: 7x + 9 = 79. What is x?
  5. 5.Solve: 8t − 1 = 47. What is t?
  6. 6.Priya thinks of a number, multiplies it by 3 and then adds 9. The result is 48. What is the number?
  7. 7.Gurpreet thinks of a number, multiplies it by 3 and then adds 26. The result is 32. What is the number?
  8. 8.Isha’s mother is twice as old as Isha. Their ages add up to 36 years. How old is Isha?
  9. 9.Solve: 7y + 7 = 56. What is y?
  10. 10.Solve: 7p − 10 = 67. What is p?
  11. 11.Solve: 3t + 20 = 44. What is t?
  12. 12.Solve: 4(p + 1) = 20. What is p?
  13. 13.Solve: n/5 + 8 = 23. What is n?
  14. 14.Solve: 6p − 42 = 6. What is p?
  15. 15.Solve: 5(x + 5) = 90. What is x?
  16. 16.Solve: 7p + 9 = 44. What is p?
  17. 17.Solve: x/4 + 4 = 10. What is x?
  18. 18.Solve: m/6 + 12 = 20. What is m?
  19. 19.Ishaan thinks of a number, multiplies it by 4 and then adds 22. The result is 62. What is the number?
  20. 20.Solve: 8(m + 7) = 72. What is m?
  21. 21.Solve: 4(n + 6) = 64. What is n?
  22. 22.Manav thinks of a number, multiplies it by 7 and then adds 23. The result is 100. What is the number?
  23. 23.Solve: 8p − 39 = 9. What is p?
  24. 24.Solve: 7x + 14 = 91. What is x?
  25. 25.Solve: 2(x + 1) = 32. What is x?
  26. 26.Solve: 4(y + 1) = 36. What is y?
  27. 27.Kabir thinks of a number, multiplies it by 6 and then adds 7. The result is 73. What is the number?
  28. 28.Solve: x/3 + 13 = 17. What is x?
  29. 29.Solve: 5(p + 9) = 110. What is p?
  30. 30.Solve: 2y − 3 = 5. What is y?
  31. 31.Kavya’s mother is three times as old as Kavya. Their ages add up to 44 years. How old is Kavya?
  32. 32.Solve: 2t − 9 = 1. What is t?
  33. 33.Solve: 4m + 16 = 48. What is m?
  34. 34.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 56 years. How old is Gurpreet?
  35. 35.Kabir’s mother is four times as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  36. 36.Solve: 6(y + 6) = 120. What is y?
  37. 37.Rohan’s mother is four times as old as Rohan. Their ages add up to 20 years. How old is Rohan?
  38. 38.Solve: m/7 + 5 = 14. What is m?
  39. 39.Priya thinks of a number, multiplies it by 7 and then adds 23. The result is 65. What is the number?
  40. 40.Rohan is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?

Answer key

  1. 5
  2. 12
  3. 4
  4. 10
  5. 6
  6. 13
  7. 2
  8. 12
  9. 7
  10. 11
  11. 8
  12. 4
  13. 75
  14. 8
  15. 13
  16. 5
  17. 24
  18. 48
  19. 10
  20. 2
  21. 10
  22. 11
  23. 6
  24. 11
  25. 15
  26. 8
  27. 11
  28. 12
  29. 13
  30. 4
  31. 11
  32. 5
  33. 8
  34. 14
  35. 6
  36. 14
  37. 4
  38. 63
  39. 6
  40. 9

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