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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 430 · 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.Karan is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  2. 2.Zoya is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  3. 3.Solve: 7(y + 4) = 98. What is y?
  4. 4.Solve: 4(x + 3) = 60. What is x?
  5. 5.Solve: 2x − 6 = 4. What is x?
  6. 6.Solve: 2n + 22 = 30. What is n?
  7. 7.Manav is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  8. 8.Diya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  9. 9.Solve: p/5 + 14 = 27. What is p?
  10. 10.Vivaan thinks of a number, multiplies it by 4 and then adds 19. The result is 79. What is the number?
  11. 11.Solve: y/4 + 8 = 17. What is y?
  12. 12.Solve: 3t + 23 = 29. What is t?
  13. 13.Solve: 4x + 29 = 41. What is x?
  14. 14.Meera’s mother is four times as old as Meera. Their ages add up to 45 years. How old is Meera?
  15. 15.Rohan is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  16. 16.Solve: 7m − 13 = 50. What is m?
  17. 17.Solve: 9(n + 8) = 90. What is n?
  18. 18.Riya’s mother is twice as old as Riya. Their ages add up to 39 years. How old is Riya?
  19. 19.Solve: 4y − 15 = 29. What is y?
  20. 20.Solve: 9(p + 1) = 27. What is p?
  21. 21.Tara thinks of a number, multiplies it by 6 and then adds 27. The result is 111. What is the number?
  22. 22.Solve: 6(n + 8) = 66. What is n?
  23. 23.Solve: 7p − 2 = 12. What is p?
  24. 24.Ishaan thinks of a number, multiplies it by 3 and then adds 29. The result is 41. What is the number?
  25. 25.Solve: 8y − 8 = 16. What is y?
  26. 26.Solve: 6(p + 5) = 90. What is p?
  27. 27.Solve: 3(n + 3) = 36. What is n?
  28. 28.Kabir’s mother is twice as old as Kabir. Their ages add up to 27 years. How old is Kabir?
  29. 29.Manav’s mother is twice as old as Manav. Their ages add up to 42 years. How old is Manav?
  30. 30.Nisha thinks of a number, multiplies it by 8 and then adds 2. The result is 58. What is the number?
  31. 31.Solve: 4t − 3 = 5. What is t?
  32. 32.Rohan is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  33. 33.Solve: m/3 + 1 = 15. What is m?
  34. 34.Priya’s mother is twice as old as Priya. Their ages add up to 30 years. How old is Priya?
  35. 35.Solve: 3t − 1 = 5. What is t?
  36. 36.Ananya’s mother is twice as old as Ananya. Their ages add up to 36 years. How old is Ananya?
  37. 37.Manav thinks of a number, multiplies it by 3 and then adds 22. The result is 58. What is the number?
  38. 38.Solve: 5(n + 7) = 55. What is n?
  39. 39.Solve: 2(m + 1) = 26. What is m?
  40. 40.Solve: 3(n + 7) = 42. What is n?

Answer key

  1. 9
  2. 4
  3. 10
  4. 12
  5. 5
  6. 4
  7. 8
  8. 6
  9. 65
  10. 15
  11. 36
  12. 2
  13. 3
  14. 9
  15. 11
  16. 9
  17. 2
  18. 13
  19. 11
  20. 2
  21. 14
  22. 3
  23. 2
  24. 4
  25. 3
  26. 10
  27. 9
  28. 9
  29. 14
  30. 7
  31. 2
  32. 7
  33. 42
  34. 10
  35. 2
  36. 12
  37. 12
  38. 4
  39. 12
  40. 7

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