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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 411 · 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: 6x − 13 = 5. What is x?
  2. 2.Solve: 9x + 7 = 52. What is x?
  3. 3.Solve: 2(n + 2) = 20. What is n?
  4. 4.Solve: 2(n + 3) = 18. What is n?
  5. 5.Solve: 2n − 1 = 1. What is n?
  6. 6.Solve: n/2 + 4 = 8. What is n?
  7. 7.Diya thinks of a number, multiplies it by 5 and then adds 22. The result is 72. What is the number?
  8. 8.Solve: y/3 + 17 = 28. What is y?
  9. 9.Solve: 5(x + 8) = 115. What is x?
  10. 10.Solve: 4t − 40 = 8. What is t?
  11. 11.Solve: 2m + 11 = 37. What is m?
  12. 12.Solve: 3m − 10 = 26. What is m?
  13. 13.Gurpreet thinks of a number, multiplies it by 9 and then adds 29. The result is 83. What is the number?
  14. 14.Solve: 7x + 19 = 75. What is x?
  15. 15.Solve: 5(n + 8) = 90. What is n?
  16. 16.Solve: 4x − 6 = 14. What is x?
  17. 17.Solve: 2(p + 9) = 32. What is p?
  18. 18.Solve: x/8 + 14 = 29. What is x?
  19. 19.Solve: t/6 + 13 = 20. What is t?
  20. 20.Solve: 6n − 14 = 58. What is n?
  21. 21.Solve: 3y + 4 = 43. What is y?
  22. 22.Solve: 8t − 45 = 3. What is t?
  23. 23.Rohan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  24. 24.Solve: 2y − 11 = 5. What is y?
  25. 25.Dev thinks of a number, multiplies it by 4 and then adds 17. The result is 37. What is the number?
  26. 26.Solve: 8m + 29 = 93. What is m?
  27. 27.Solve: 8p + 20 = 124. What is p?
  28. 28.Solve: 4x + 28 = 80. What is x?
  29. 29.Solve: 4m − 3 = 1. What is m?
  30. 30.Isha thinks of a number, multiplies it by 3 and then adds 26. The result is 71. What is the number?
  31. 31.Gurpreet thinks of a number, multiplies it by 7 and then adds 5. The result is 26. What is the number?
  32. 32.Solve: 9p − 18 = 9. What is p?
  33. 33.Kabir is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  34. 34.Solve: 5y − 3 = 17. What is y?
  35. 35.Solve: 8n + 30 = 126. What is n?
  36. 36.Solve: 3m − 3 = 6. What is m?
  37. 37.Nisha thinks of a number, multiplies it by 5 and then adds 5. The result is 20. What is the number?
  38. 38.Solve: 8(p + 6) = 160. What is p?
  39. 39.Solve: 3t − 17 = 28. What is t?
  40. 40.Solve: 7p + 7 = 70. What is p?

Answer key

  1. 3
  2. 5
  3. 8
  4. 6
  5. 1
  6. 8
  7. 10
  8. 33
  9. 15
  10. 12
  11. 13
  12. 12
  13. 6
  14. 8
  15. 10
  16. 5
  17. 7
  18. 120
  19. 42
  20. 12
  21. 13
  22. 6
  23. 5
  24. 8
  25. 5
  26. 8
  27. 13
  28. 13
  29. 1
  30. 15
  31. 3
  32. 3
  33. 5
  34. 4
  35. 12
  36. 3
  37. 3
  38. 14
  39. 15
  40. 9

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