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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 119 · 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: 3(m + 9) = 66. What is m?
  2. 2.Solve: 8(n + 8) = 160. What is n?
  3. 3.Solve: 3n + 4 = 19. What is n?
  4. 4.Solve: 7(y + 7) = 70. What is y?
  5. 5.Solve: 2(y + 6) = 36. What is y?
  6. 6.Solve: 7y + 2 = 51. What is y?
  7. 7.Solve: 8p − 57 = 63. What is p?
  8. 8.Solve: 5y − 2 = 3. What is y?
  9. 9.Isha is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  10. 10.Lakshmi thinks of a number, multiplies it by 6 and then adds 6. The result is 84. What is the number?
  11. 11.Rahul thinks of a number, multiplies it by 6 and then adds 10. The result is 76. What is the number?
  12. 12.Solve: n/3 + 9 = 24. What is n?
  13. 13.Solve: 3(t + 5) = 48. What is t?
  14. 14.Joseph is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  15. 15.Solve: 8y + 25 = 49. What is y?
  16. 16.Isha thinks of a number, multiplies it by 4 and then adds 30. The result is 34. What is the number?
  17. 17.Vivaan thinks of a number, multiplies it by 5 and then adds 17. The result is 82. What is the number?
  18. 18.Manav thinks of a number, multiplies it by 5 and then adds 21. The result is 31. What is the number?
  19. 19.Solve: 7m − 3 = 4. What is m?
  20. 20.Solve: 2y + 24 = 36. What is y?
  21. 21.Ishaan is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  22. 22.Solve: 4(y + 9) = 88. What is y?
  23. 23.Solve: x/7 + 7 = 16. What is x?
  24. 24.Solve: 2m + 9 = 27. What is m?
  25. 25.Aditya thinks of a number, multiplies it by 2 and then adds 11. The result is 39. What is the number?
  26. 26.Solve: 3m + 1 = 13. What is m?
  27. 27.Solve: 9y + 6 = 33. What is y?
  28. 28.Solve: t/8 + 1 = 15. What is t?
  29. 29.Solve: p/2 + 14 = 18. What is p?
  30. 30.Kabir’s mother is twice as old as Kabir. Their ages add up to 18 years. How old is Kabir?
  31. 31.Solve: 4(p + 4) = 24. What is p?
  32. 32.Solve: 2(n + 8) = 44. What is n?
  33. 33.Isha thinks of a number, multiplies it by 5 and then adds 23. The result is 98. What is the number?
  34. 34.Solve: n/3 + 17 = 31. What is n?
  35. 35.Gurpreet thinks of a number, multiplies it by 7 and then adds 10. The result is 94. What is the number?
  36. 36.Lakshmi thinks of a number, multiplies it by 5 and then adds 23. The result is 43. What is the number?
  37. 37.Ananya is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  38. 38.Solve: 6(p + 2) = 18. What is p?
  39. 39.Solve: 8m − 29 = 11. What is m?
  40. 40.Pooja thinks of a number, multiplies it by 3 and then adds 14. The result is 32. What is the number?

Answer key

  1. 13
  2. 12
  3. 5
  4. 3
  5. 12
  6. 7
  7. 15
  8. 1
  9. 5
  10. 13
  11. 11
  12. 45
  13. 11
  14. 8
  15. 3
  16. 1
  17. 13
  18. 2
  19. 1
  20. 6
  21. 9
  22. 13
  23. 63
  24. 9
  25. 14
  26. 4
  27. 3
  28. 112
  29. 8
  30. 6
  31. 2
  32. 14
  33. 15
  34. 42
  35. 12
  36. 4
  37. 4
  38. 1
  39. 5
  40. 6

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