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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 675 · 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: 6(y + 6) = 72. What is y?
  2. 2.Solve: 5x + 1 = 21. What is x?
  3. 3.Solve: t/7 + 14 = 16. What is t?
  4. 4.Solve: 5n + 2 = 12. What is n?
  5. 5.Solve: 3m − 2 = 7. What is m?
  6. 6.Solve: p/8 + 14 = 16. What is p?
  7. 7.Kabir thinks of a number, multiplies it by 5 and then adds 4. The result is 9. What is the number?
  8. 8.Saanvi thinks of a number, multiplies it by 4 and then adds 6. The result is 46. What is the number?
  9. 9.Solve: 6n − 32 = 40. What is n?
  10. 10.Lakshmi is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  11. 11.Solve: 8m + 18 = 122. What is m?
  12. 12.Ishaan is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  13. 13.Solve: 5y + 27 = 52. What is y?
  14. 14.Solve: 2p + 23 = 29. What is p?
  15. 15.Solve: 2m − 3 = 5. What is m?
  16. 16.Solve: 3m + 12 = 21. What is m?
  17. 17.Ishaan thinks of a number, multiplies it by 4 and then adds 7. The result is 43. What is the number?
  18. 18.Lakshmi thinks of a number, multiplies it by 6 and then adds 6. The result is 12. What is the number?
  19. 19.Pooja is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  20. 20.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 30 years. How old is Ishaan?
  21. 21.Solve: 2(x + 4) = 30. What is x?
  22. 22.Kavya’s mother is four times as old as Kavya. Their ages add up to 60 years. How old is Kavya?
  23. 23.Solve: 2(t + 2) = 16. What is t?
  24. 24.Solve: 5(p + 6) = 60. What is p?
  25. 25.Solve: p/5 + 13 = 16. What is p?
  26. 26.Gurpreet is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  27. 27.Ishaan thinks of a number, multiplies it by 3 and then adds 14. The result is 20. What is the number?
  28. 28.Riya thinks of a number, multiplies it by 9 and then adds 30. The result is 129. What is the number?
  29. 29.Priya thinks of a number, multiplies it by 8 and then adds 5. The result is 85. What is the number?
  30. 30.Solve: 3(y + 9) = 36. What is y?
  31. 31.Solve: 4(m + 1) = 16. What is m?
  32. 32.Solve: 6x − 4 = 38. What is x?
  33. 33.Solve: 4t − 20 = 16. What is t?
  34. 34.Solve: 9(y + 2) = 54. What is y?
  35. 35.Solve: 6x − 28 = 62. What is x?
  36. 36.Solve: 6m + 5 = 95. What is m?
  37. 37.Solve: 5(n + 6) = 35. What is n?
  38. 38.Solve: n/9 + 1 = 2. What is n?
  39. 39.Isha thinks of a number, multiplies it by 8 and then adds 26. The result is 138. What is the number?
  40. 40.Zoya thinks of a number, multiplies it by 4 and then adds 2. The result is 38. What is the number?

Answer key

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

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