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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 308 · 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: x/7 + 15 = 20. What is x?
  2. 2.Solve: 8(t + 3) = 120. What is t?
  3. 3.Diya thinks of a number, multiplies it by 9 and then adds 26. The result is 53. What is the number?
  4. 4.Priya thinks of a number, multiplies it by 9 and then adds 19. The result is 100. What is the number?
  5. 5.Manav thinks of a number, multiplies it by 3 and then adds 27. The result is 45. What is the number?
  6. 6.Priya’s mother is four times as old as Priya. Their ages add up to 20 years. How old is Priya?
  7. 7.Solve: 3n − 8 = 1. What is n?
  8. 8.Solve: 2p + 3 = 23. What is p?
  9. 9.Solve: 2m − 2 = 12. What is m?
  10. 10.Solve: 4p − 34 = 10. What is p?
  11. 11.Solve: m/8 + 2 = 12. What is m?
  12. 12.Solve: 6y − 46 = 44. What is y?
  13. 13.Solve: 5m + 9 = 79. What is m?
  14. 14.Dev thinks of a number, multiplies it by 8 and then adds 17. The result is 89. What is the number?
  15. 15.Ishaan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  16. 16.Pooja thinks of a number, multiplies it by 7 and then adds 7. The result is 112. What is the number?
  17. 17.Solve: 4(n + 7) = 40. What is n?
  18. 18.Kavya thinks of a number, multiplies it by 7 and then adds 19. The result is 89. What is the number?
  19. 19.Solve: 9p + 21 = 93. What is p?
  20. 20.Solve: 2p − 27 = 3. What is p?
  21. 21.Zoya thinks of a number, multiplies it by 5 and then adds 17. The result is 77. What is the number?
  22. 22.Solve: 3m − 2 = 1. What is m?
  23. 23.Solve: 7y − 41 = 8. What is y?
  24. 24.Solve: 3x − 3 = 9. What is x?
  25. 25.Solve: 2t + 27 = 33. What is t?
  26. 26.Pooja thinks of a number, multiplies it by 4 and then adds 24. The result is 80. What is the number?
  27. 27.Solve: 3p − 2 = 4. What is p?
  28. 28.Aarav thinks of a number, multiplies it by 6 and then adds 29. The result is 71. What is the number?
  29. 29.Solve: t/2 + 13 = 27. What is t?
  30. 30.Solve: 8(n + 8) = 160. What is n?
  31. 31.Solve: 6(t + 4) = 30. What is t?
  32. 32.Solve: 9n − 79 = 56. What is n?
  33. 33.Tara thinks of a number, multiplies it by 9 and then adds 27. The result is 162. What is the number?
  34. 34.Solve: p/3 + 2 = 10. What is p?
  35. 35.Riya is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  36. 36.Solve: 6m + 10 = 70. What is m?
  37. 37.Solve: 7(y + 6) = 70. What is y?
  38. 38.Solve: 7y − 52 = 53. What is y?
  39. 39.Solve: 8(n + 2) = 56. What is n?
  40. 40.Nisha is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?

Answer key

  1. 35
  2. 12
  3. 3
  4. 9
  5. 6
  6. 4
  7. 3
  8. 10
  9. 7
  10. 11
  11. 80
  12. 15
  13. 14
  14. 9
  15. 12
  16. 15
  17. 3
  18. 10
  19. 8
  20. 15
  21. 12
  22. 1
  23. 7
  24. 4
  25. 3
  26. 14
  27. 2
  28. 7
  29. 28
  30. 12
  31. 1
  32. 15
  33. 15
  34. 24
  35. 7
  36. 10
  37. 4
  38. 15
  39. 5
  40. 10

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