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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 266 · 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.Gurpreet thinks of a number, multiplies it by 4 and then adds 22. The result is 38. What is the number?
  2. 2.Solve: p/2 + 2 = 4. What is p?
  3. 3.Solve: 6p + 19 = 103. What is p?
  4. 4.Solve: 8(n + 6) = 88. What is n?
  5. 5.Priya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  6. 6.Solve: t/6 + 16 = 29. What is t?
  7. 7.Solve: 5m + 3 = 23. What is m?
  8. 8.Solve: 2t + 30 = 40. What is t?
  9. 9.Solve: n/3 + 1 = 6. What is n?
  10. 10.Arjun thinks of a number, multiplies it by 2 and then adds 4. The result is 28. What is the number?
  11. 11.Manav’s mother is four times as old as Manav. Their ages add up to 25 years. How old is Manav?
  12. 12.Solve: 4m − 3 = 1. What is m?
  13. 13.Solve: 9y − 25 = 74. What is y?
  14. 14.Solve: 3(m + 1) = 21. What is m?
  15. 15.Solve: 2(x + 5) = 32. What is x?
  16. 16.Solve: 3(x + 8) = 54. What is x?
  17. 17.Solve: 3(m + 3) = 12. What is m?
  18. 18.Solve: 3m − 3 = 3. What is m?
  19. 19.Solve: 6m + 27 = 51. What is m?
  20. 20.Isha thinks of a number, multiplies it by 2 and then adds 26. The result is 54. What is the number?
  21. 21.Priya thinks of a number, multiplies it by 9 and then adds 19. The result is 82. What is the number?
  22. 22.Saanvi thinks of a number, multiplies it by 9 and then adds 11. The result is 38. What is the number?
  23. 23.Dev thinks of a number, multiplies it by 9 and then adds 9. The result is 99. What is the number?
  24. 24.Solve: 8y + 27 = 99. What is y?
  25. 25.Solve: 7m − 40 = 23. What is m?
  26. 26.Solve: y/6 + 3 = 17. What is y?
  27. 27.Solve: 6(m + 3) = 30. What is m?
  28. 28.Gurpreet thinks of a number, multiplies it by 6 and then adds 23. The result is 89. What is the number?
  29. 29.Priya is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  30. 30.Solve: 4(y + 1) = 20. What is y?
  31. 31.Solve: 4x − 3 = 9. What is x?
  32. 32.Solve: 4m − 31 = 29. What is m?
  33. 33.Solve: 9y + 4 = 31. What is y?
  34. 34.Solve: 4(n + 3) = 28. What is n?
  35. 35.Solve: 6p − 21 = 27. What is p?
  36. 36.Tara’s mother is three times as old as Tara. Their ages add up to 32 years. How old is Tara?
  37. 37.Solve: 2p − 27 = 1. What is p?
  38. 38.Solve: 8t − 1 = 71. What is t?
  39. 39.Solve: m/3 + 8 = 14. What is m?
  40. 40.Solve: 2y + 26 = 46. What is y?

Answer key

  1. 4
  2. 4
  3. 14
  4. 5
  5. 6
  6. 78
  7. 4
  8. 5
  9. 15
  10. 12
  11. 5
  12. 1
  13. 11
  14. 6
  15. 11
  16. 10
  17. 1
  18. 2
  19. 4
  20. 14
  21. 7
  22. 3
  23. 10
  24. 9
  25. 9
  26. 84
  27. 2
  28. 11
  29. 9
  30. 4
  31. 3
  32. 15
  33. 3
  34. 4
  35. 8
  36. 8
  37. 14
  38. 9
  39. 18
  40. 10

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