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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 651 · 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.Farhan thinks of a number, multiplies it by 4 and then adds 5. The result is 53. What is the number?
  2. 2.Kabir thinks of a number, multiplies it by 7 and then adds 19. The result is 96. What is the number?
  3. 3.Solve: 3p − 28 = 2. What is p?
  4. 4.Solve: 8(t + 7) = 160. What is t?
  5. 5.Rohan thinks of a number, multiplies it by 6 and then adds 22. The result is 76. What is the number?
  6. 6.Gurpreet is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  7. 7.Diya thinks of a number, multiplies it by 5 and then adds 29. The result is 99. What is the number?
  8. 8.Solve: 7x − 62 = 8. What is x?
  9. 9.Solve: n/2 + 1 = 3. What is n?
  10. 10.Ishaan thinks of a number, multiplies it by 7 and then adds 21. The result is 126. What is the number?
  11. 11.Saanvi thinks of a number, multiplies it by 4 and then adds 19. The result is 51. What is the number?
  12. 12.Solve: 6m + 23 = 47. What is m?
  13. 13.Solve: 5(y + 6) = 75. What is y?
  14. 14.Solve: n/7 + 1 = 15. What is n?
  15. 15.Ananya thinks of a number, multiplies it by 6 and then adds 18. The result is 108. What is the number?
  16. 16.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 48 years. How old is Saanvi?
  17. 17.Solve: 8p + 13 = 45. What is p?
  18. 18.Solve: 5(m + 3) = 30. What is m?
  19. 19.Solve: 3p + 26 = 38. What is p?
  20. 20.Solve: 9y + 26 = 80. What is y?
  21. 21.Aarav thinks of a number, multiplies it by 4 and then adds 25. The result is 69. What is the number?
  22. 22.Solve: 7n + 3 = 38. What is n?
  23. 23.Solve: m/6 + 8 = 18. What is m?
  24. 24.Vivaan thinks of a number, multiplies it by 4 and then adds 8. The result is 44. What is the number?
  25. 25.Riya thinks of a number, multiplies it by 6 and then adds 25. The result is 55. What is the number?
  26. 26.Solve: 4(t + 9) = 72. What is t?
  27. 27.Solve: 9(p + 2) = 135. What is p?
  28. 28.Solve: n/4 + 1 = 3. What is n?
  29. 29.Tara is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  30. 30.Solve: 4m + 15 = 23. What is m?
  31. 31.Solve: 9y − 117 = 18. What is y?
  32. 32.Meera is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  33. 33.Joseph is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  34. 34.Riya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  35. 35.Solve: x/6 + 2 = 7. What is x?
  36. 36.Solve: 8(n + 1) = 120. What is n?
  37. 37.Solve: m/7 + 3 = 11. What is m?
  38. 38.Solve: 6n − 70 = 20. What is n?
  39. 39.Solve: 7p − 36 = 13. What is p?
  40. 40.Solve: 6m − 2 = 16. What is m?

Answer key

  1. 12
  2. 11
  3. 10
  4. 13
  5. 9
  6. 10
  7. 14
  8. 10
  9. 4
  10. 15
  11. 8
  12. 4
  13. 9
  14. 98
  15. 15
  16. 12
  17. 4
  18. 3
  19. 4
  20. 6
  21. 11
  22. 5
  23. 60
  24. 9
  25. 5
  26. 9
  27. 13
  28. 8
  29. 14
  30. 2
  31. 15
  32. 7
  33. 7
  34. 6
  35. 30
  36. 14
  37. 56
  38. 15
  39. 7
  40. 3

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