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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 552 · 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: 3p + 19 = 43. What is p?
  2. 2.Sneha thinks of a number, multiplies it by 6 and then adds 11. The result is 17. What is the number?
  3. 3.Solve: n/3 + 11 = 16. What is n?
  4. 4.Solve: 9(y + 9) = 144. What is y?
  5. 5.Solve: 3p − 21 = 6. What is p?
  6. 6.Solve: 3y − 3 = 6. What is y?
  7. 7.Solve: 6(m + 8) = 114. What is m?
  8. 8.Riya thinks of a number, multiplies it by 3 and then adds 27. The result is 54. What is the number?
  9. 9.Kabir is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  10. 10.Solve: 5x − 19 = 56. What is x?
  11. 11.Solve: 7(m + 7) = 77. What is m?
  12. 12.Solve: 4y + 10 = 58. What is y?
  13. 13.Solve: 7n − 9 = 96. What is n?
  14. 14.Solve: m/2 + 15 = 19. What is m?
  15. 15.Farhan is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  16. 16.Solve: 8n + 1 = 17. What is n?
  17. 17.Farhan thinks of a number, multiplies it by 4 and then adds 13. The result is 17. What is the number?
  18. 18.Diya thinks of a number, multiplies it by 3 and then adds 14. The result is 23. What is the number?
  19. 19.Sneha thinks of a number, multiplies it by 9 and then adds 15. The result is 114. What is the number?
  20. 20.Solve: 8(p + 5) = 80. What is p?
  21. 21.Aarav is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  22. 22.Solve: 3p + 21 = 57. What is p?
  23. 23.Solve: 2t − 1 = 1. What is t?
  24. 24.Rohan thinks of a number, multiplies it by 5 and then adds 3. The result is 68. What is the number?
  25. 25.Saanvi is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  26. 26.Kabir thinks of a number, multiplies it by 3 and then adds 1. The result is 4. What is the number?
  27. 27.Solve: 6(m + 4) = 36. What is m?
  28. 28.Ishaan thinks of a number, multiplies it by 6 and then adds 6. The result is 66. What is the number?
  29. 29.Solve: 9t + 7 = 25. What is t?
  30. 30.Solve: 3(x + 1) = 12. What is x?
  31. 31.Solve: 2x + 3 = 11. What is x?
  32. 32.Solve: y/6 + 11 = 24. What is y?
  33. 33.Solve: 6(n + 1) = 48. What is n?
  34. 34.Solve: 2(t + 6) = 38. What is t?
  35. 35.Tara thinks of a number, multiplies it by 9 and then adds 30. The result is 111. What is the number?
  36. 36.Solve: 6n − 10 = 26. What is n?
  37. 37.Solve: 2n + 28 = 50. What is n?
  38. 38.Solve: 2x − 1 = 7. What is x?
  39. 39.Solve: y/4 + 4 = 13. What is y?
  40. 40.Solve: 4(x + 9) = 40. What is x?

Answer key

  1. 8
  2. 1
  3. 15
  4. 7
  5. 9
  6. 3
  7. 11
  8. 9
  9. 4
  10. 15
  11. 4
  12. 12
  13. 15
  14. 8
  15. 15
  16. 2
  17. 1
  18. 3
  19. 11
  20. 5
  21. 5
  22. 12
  23. 1
  24. 13
  25. 7
  26. 1
  27. 2
  28. 10
  29. 2
  30. 3
  31. 4
  32. 78
  33. 7
  34. 13
  35. 9
  36. 6
  37. 11
  38. 4
  39. 36
  40. 1

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