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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 619 · 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: p/8 + 18 = 31. What is p?
  2. 2.Solve: 2p − 3 = 17. What is p?
  3. 3.Solve: 6(m + 2) = 48. What is m?
  4. 4.Solve: x/9 + 2 = 17. What is x?
  5. 5.Solve: 2(y + 3) = 14. What is y?
  6. 6.Solve: 6p + 26 = 68. What is p?
  7. 7.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 35 years. How old is Ishaan?
  8. 8.Solve: 9y − 96 = 30. What is y?
  9. 9.Solve: x/8 + 16 = 26. What is x?
  10. 10.Solve: 5n − 25 = 35. What is n?
  11. 11.Solve: y/7 + 19 = 23. What is y?
  12. 12.Manav’s mother is twice as old as Manav. Their ages add up to 42 years. How old is Manav?
  13. 13.Manav’s mother is twice as old as Manav. Their ages add up to 45 years. How old is Manav?
  14. 14.Solve: 5p + 4 = 54. What is p?
  15. 15.Nisha is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  16. 16.Solve: 8x + 5 = 61. What is x?
  17. 17.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 45 years. How old is Lakshmi?
  18. 18.Solve: 4x − 3 = 9. What is x?
  19. 19.Solve: 6n + 6 = 90. What is n?
  20. 20.Solve: 7m + 12 = 110. What is m?
  21. 21.Solve: 9p − 11 = 34. What is p?
  22. 22.Solve: 4y − 30 = 10. What is y?
  23. 23.Joseph thinks of a number, multiplies it by 5 and then adds 27. The result is 62. What is the number?
  24. 24.Farhan thinks of a number, multiplies it by 2 and then adds 27. The result is 39. What is the number?
  25. 25.Solve: 5m − 2 = 73. What is m?
  26. 26.Solve: n/2 + 4 = 6. What is n?
  27. 27.Solve: 9x + 14 = 149. What is x?
  28. 28.Solve: 2(p + 5) = 40. What is p?
  29. 29.Solve: 7x + 3 = 87. What is x?
  30. 30.Solve: 5t − 3 = 17. What is t?
  31. 31.Solve: 4p − 1 = 15. What is p?
  32. 32.Priya thinks of a number, multiplies it by 9 and then adds 9. The result is 36. What is the number?
  33. 33.Solve: p/2 + 7 = 9. What is p?
  34. 34.Solve: 2m − 20 = 2. What is m?
  35. 35.Solve: t/5 + 3 = 4. What is t?
  36. 36.Ananya’s mother is twice as old as Ananya. Their ages add up to 27 years. How old is Ananya?
  37. 37.Nisha’s mother is twice as old as Nisha. Their ages add up to 24 years. How old is Nisha?
  38. 38.Arjun is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  39. 39.Solve: 7(x + 4) = 70. What is x?
  40. 40.Joseph’s mother is twice as old as Joseph. Their ages add up to 18 years. How old is Joseph?

Answer key

  1. 104
  2. 10
  3. 6
  4. 135
  5. 4
  6. 7
  7. 7
  8. 14
  9. 80
  10. 12
  11. 28
  12. 14
  13. 15
  14. 10
  15. 14
  16. 7
  17. 15
  18. 3
  19. 14
  20. 14
  21. 5
  22. 10
  23. 7
  24. 6
  25. 15
  26. 4
  27. 15
  28. 15
  29. 12
  30. 4
  31. 4
  32. 3
  33. 4
  34. 11
  35. 5
  36. 9
  37. 8
  38. 15
  39. 6
  40. 6

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