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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 393 · 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.Ananya is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  2. 2.Karan’s mother is four times as old as Karan. Their ages add up to 60 years. How old is Karan?
  3. 3.Solve: 7t + 15 = 36. What is t?
  4. 4.Solve: 3(n + 4) = 21. What is n?
  5. 5.Solve: 8m − 11 = 5. What is m?
  6. 6.Solve: 7p + 22 = 78. What is p?
  7. 7.Solve: 2m + 6 = 14. What is m?
  8. 8.Farhan thinks of a number, multiplies it by 6 and then adds 28. The result is 106. What is the number?
  9. 9.Solve: x/2 + 18 = 19. What is x?
  10. 10.Diya thinks of a number, multiplies it by 6 and then adds 10. The result is 82. What is the number?
  11. 11.Solve: x/2 + 12 = 26. What is x?
  12. 12.Solve: 4n − 2 = 2. What is n?
  13. 13.Solve: 8(y + 1) = 56. What is y?
  14. 14.Solve: t/4 + 5 = 15. What is t?
  15. 15.Solve: 7(p + 2) = 91. What is p?
  16. 16.Solve: 2m + 1 = 7. What is m?
  17. 17.Solve: n/6 + 1 = 10. What is n?
  18. 18.Solve: 6m − 14 = 28. What is m?
  19. 19.Solve: 7m − 43 = 34. What is m?
  20. 20.Solve: 6t − 22 = 2. What is t?
  21. 21.Solve: 4x + 27 = 31. What is x?
  22. 22.Isha’s mother is twice as old as Isha. Their ages add up to 30 years. How old is Isha?
  23. 23.Solve: 6n + 27 = 39. What is n?
  24. 24.Solve: 7n − 62 = 1. What is n?
  25. 25.Solve: 4m + 2 = 18. What is m?
  26. 26.Solve: m/2 + 16 = 23. What is m?
  27. 27.Ananya thinks of a number, multiplies it by 9 and then adds 3. The result is 57. What is the number?
  28. 28.Riya is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  29. 29.Solve: 3y + 26 = 41. What is y?
  30. 30.Solve: 2(m + 2) = 10. What is m?
  31. 31.Solve: 5p − 1 = 4. What is p?
  32. 32.Diya is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  33. 33.Solve: 8y − 14 = 18. What is y?
  34. 34.Diya’s mother is four times as old as Diya. Their ages add up to 50 years. How old is Diya?
  35. 35.Arjun is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  36. 36.Solve: 4m − 43 = 9. What is m?
  37. 37.Solve: 9(n + 2) = 27. What is n?
  38. 38.Solve: x/2 + 11 = 20. What is x?
  39. 39.Solve: 3y − 28 = 14. What is y?
  40. 40.Solve: 5(m + 9) = 105. What is m?

Answer key

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

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