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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 860 · 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: 5p − 2 = 3. What is p?
  2. 2.Solve: 2m − 4 = 12. What is m?
  3. 3.Saanvi thinks of a number, multiplies it by 8 and then adds 22. The result is 38. What is the number?
  4. 4.Joseph’s mother is three times as old as Joseph. Their ages add up to 48 years. How old is Joseph?
  5. 5.Solve: 3n + 16 = 61. What is n?
  6. 6.Solve: 7p + 19 = 40. What is p?
  7. 7.Solve: 6x − 7 = 5. What is x?
  8. 8.Solve: 2p − 1 = 3. What is p?
  9. 9.Solve: x/8 + 4 = 16. What is x?
  10. 10.Solve: 8(t + 5) = 64. What is t?
  11. 11.Solve: 4m − 9 = 7. What is m?
  12. 12.Kabir thinks of a number, multiplies it by 5 and then adds 25. The result is 80. What is the number?
  13. 13.Ananya is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  14. 14.Solve: 5(n + 4) = 90. What is n?
  15. 15.Rohan thinks of a number, multiplies it by 5 and then adds 27. The result is 72. What is the number?
  16. 16.Diya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  17. 17.Solve: x/3 + 19 = 24. What is x?
  18. 18.Solve: 6m − 10 = 8. What is m?
  19. 19.Solve: 5(n + 1) = 50. What is n?
  20. 20.Solve: x/4 + 6 = 10. What is x?
  21. 21.Meera thinks of a number, multiplies it by 2 and then adds 28. The result is 38. What is the number?
  22. 22.Diya thinks of a number, multiplies it by 5 and then adds 8. The result is 78. What is the number?
  23. 23.Kabir is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  24. 24.Solve: 5(m + 6) = 105. What is m?
  25. 25.Solve: 2x − 1 = 1. What is x?
  26. 26.Solve: x/4 + 14 = 24. What is x?
  27. 27.Solve: 5x + 24 = 44. What is x?
  28. 28.Diya is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  29. 29.Solve: y/3 + 18 = 24. What is y?
  30. 30.Priya thinks of a number, multiplies it by 5 and then adds 2. The result is 12. What is the number?
  31. 31.Solve: 9p + 5 = 95. What is p?
  32. 32.Solve: m/6 + 8 = 22. What is m?
  33. 33.Solve: 3y − 2 = 1. What is y?
  34. 34.Solve: x/8 + 18 = 29. What is x?
  35. 35.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 39 years. How old is Vivaan?
  36. 36.Solve: 7(p + 2) = 49. What is p?
  37. 37.Aarav’s mother is twice as old as Aarav. Their ages add up to 33 years. How old is Aarav?
  38. 38.Solve: t/3 + 20 = 35. What is t?
  39. 39.Solve: m/3 + 18 = 27. What is m?
  40. 40.Lakshmi is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?

Answer key

  1. 1
  2. 8
  3. 2
  4. 12
  5. 15
  6. 3
  7. 2
  8. 2
  9. 96
  10. 3
  11. 4
  12. 11
  13. 10
  14. 14
  15. 9
  16. 12
  17. 15
  18. 3
  19. 9
  20. 16
  21. 5
  22. 14
  23. 11
  24. 15
  25. 1
  26. 40
  27. 4
  28. 14
  29. 18
  30. 2
  31. 10
  32. 84
  33. 1
  34. 88
  35. 13
  36. 5
  37. 11
  38. 45
  39. 27
  40. 7

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