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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 486 · 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.Ishaan thinks of a number, multiplies it by 4 and then adds 18. The result is 26. What is the number?
  2. 2.Solve: 9y − 30 = 42. What is y?
  3. 3.Solve: 5(y + 7) = 100. What is y?
  4. 4.Nisha’s mother is twice as old as Nisha. Their ages add up to 12 years. How old is Nisha?
  5. 5.Vivaan thinks of a number, multiplies it by 8 and then adds 23. The result is 111. What is the number?
  6. 6.Solve: 9t + 30 = 57. What is t?
  7. 7.Solve: 3p + 26 = 47. What is p?
  8. 8.Solve: p/9 + 5 = 7. What is p?
  9. 9.Solve: y/8 + 17 = 26. What is y?
  10. 10.Solve: 2x + 18 = 26. What is x?
  11. 11.Solve: 9t + 15 = 114. What is t?
  12. 12.Saanvi thinks of a number, multiplies it by 3 and then adds 10. The result is 28. What is the number?
  13. 13.Solve: 8(p + 7) = 152. What is p?
  14. 14.Solve: 8p + 24 = 32. What is p?
  15. 15.Solve: 7(p + 7) = 63. What is p?
  16. 16.Solve: 2p − 8 = 22. What is p?
  17. 17.Meera’s mother is four times as old as Meera. Their ages add up to 45 years. How old is Meera?
  18. 18.Solve: 2(t + 1) = 24. What is t?
  19. 19.Solve: 2x − 9 = 3. What is x?
  20. 20.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 39 years. How old is Gurpreet?
  21. 21.Solve: 6(m + 1) = 78. What is m?
  22. 22.Nisha thinks of a number, multiplies it by 3 and then adds 20. The result is 29. What is the number?
  23. 23.Arjun thinks of a number, multiplies it by 2 and then adds 22. The result is 52. What is the number?
  24. 24.Tara thinks of a number, multiplies it by 2 and then adds 25. The result is 45. What is the number?
  25. 25.Farhan thinks of a number, multiplies it by 2 and then adds 27. The result is 37. What is the number?
  26. 26.Solve: p/2 + 18 = 22. What is p?
  27. 27.Solve: n/9 + 2 = 9. What is n?
  28. 28.Solve: 4x + 7 = 31. What is x?
  29. 29.Solve: 7p − 51 = 54. What is p?
  30. 30.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 52 years. How old is Lakshmi?
  31. 31.Solve: 4p + 30 = 86. What is p?
  32. 32.Solve: n/4 + 11 = 18. What is n?
  33. 33.Solve: x/8 + 19 = 25. What is x?
  34. 34.Joseph’s mother is four times as old as Joseph. Their ages add up to 25 years. How old is Joseph?
  35. 35.Solve: 8(m + 1) = 120. What is m?
  36. 36.Solve: 6x − 5 = 79. What is x?
  37. 37.Solve: 9(n + 8) = 117. What is n?
  38. 38.Solve: 2(m + 1) = 8. What is m?
  39. 39.Solve: 2x − 14 = 6. What is x?
  40. 40.Meera is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?

Answer key

  1. 2
  2. 8
  3. 13
  4. 4
  5. 11
  6. 3
  7. 7
  8. 18
  9. 72
  10. 4
  11. 11
  12. 6
  13. 12
  14. 1
  15. 2
  16. 15
  17. 9
  18. 11
  19. 6
  20. 13
  21. 12
  22. 3
  23. 15
  24. 10
  25. 5
  26. 8
  27. 63
  28. 6
  29. 15
  30. 13
  31. 14
  32. 28
  33. 48
  34. 5
  35. 14
  36. 14
  37. 5
  38. 3
  39. 10
  40. 4

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