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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 516 · 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: 2n − 11 = 1. What is n?
  2. 2.Solve: 4t + 27 = 87. What is t?
  3. 3.Kabir’s mother is four times as old as Kabir. Their ages add up to 40 years. How old is Kabir?
  4. 4.Solve: 4m + 6 = 50. What is m?
  5. 5.Solve: 3(n + 5) = 60. What is n?
  6. 6.Solve: 6(y + 7) = 114. What is y?
  7. 7.Solve: 2(p + 7) = 40. What is p?
  8. 8.Solve: 6p + 30 = 114. What is p?
  9. 9.Solve: 5n + 10 = 30. What is n?
  10. 10.Solve: 9n + 30 = 165. What is n?
  11. 11.Solve: p/3 + 19 = 28. What is p?
  12. 12.Solve: 5y + 13 = 38. What is y?
  13. 13.Solve: 6m + 22 = 94. What is m?
  14. 14.Solve: 9n − 35 = 19. What is n?
  15. 15.Nisha is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  16. 16.Solve: 2m − 6 = 2. What is m?
  17. 17.Solve: m/7 + 3 = 13. What is m?
  18. 18.Vivaan is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  19. 19.Gurpreet thinks of a number, multiplies it by 9 and then adds 5. The result is 59. What is the number?
  20. 20.Arjun thinks of a number, multiplies it by 5 and then adds 1. The result is 16. What is the number?
  21. 21.Solve: 9x + 15 = 123. What is x?
  22. 22.Solve: 5n + 18 = 23. What is n?
  23. 23.Solve: 2y + 24 = 48. What is y?
  24. 24.Solve: 4n − 11 = 5. What is n?
  25. 25.Kavya thinks of a number, multiplies it by 4 and then adds 21. The result is 49. What is the number?
  26. 26.Solve: m/8 + 3 = 6. What is m?
  27. 27.Solve: y/9 + 12 = 24. What is y?
  28. 28.Solve: 5t − 15 = 15. What is t?
  29. 29.Solve: 6y − 18 = 54. What is y?
  30. 30.Gurpreet thinks of a number, multiplies it by 4 and then adds 11. The result is 43. What is the number?
  31. 31.Solve: 3n + 28 = 31. What is n?
  32. 32.Solve: 3p − 12 = 18. What is p?
  33. 33.Solve: 5(n + 4) = 45. What is n?
  34. 34.Joseph thinks of a number, multiplies it by 2 and then adds 3. The result is 21. What is the number?
  35. 35.Solve: 7(m + 4) = 98. What is m?
  36. 36.Solve: 6(t + 1) = 48. What is t?
  37. 37.Riya thinks of a number, multiplies it by 6 and then adds 12. The result is 30. What is the number?
  38. 38.Karan’s mother is twice as old as Karan. Their ages add up to 18 years. How old is Karan?
  39. 39.Riya’s mother is twice as old as Riya. Their ages add up to 42 years. How old is Riya?
  40. 40.Solve: 3x − 28 = 5. What is x?

Answer key

  1. 6
  2. 15
  3. 8
  4. 11
  5. 15
  6. 12
  7. 13
  8. 14
  9. 4
  10. 15
  11. 27
  12. 5
  13. 12
  14. 6
  15. 4
  16. 4
  17. 70
  18. 7
  19. 6
  20. 3
  21. 12
  22. 1
  23. 12
  24. 4
  25. 7
  26. 24
  27. 108
  28. 6
  29. 12
  30. 8
  31. 1
  32. 10
  33. 5
  34. 9
  35. 10
  36. 7
  37. 3
  38. 6
  39. 14
  40. 11

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