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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 364 · 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/5 + 7 = 18. What is x?
  2. 2.Solve: m/4 + 15 = 24. What is m?
  3. 3.Solve: 9(t + 6) = 72. What is t?
  4. 4.Solve: 9x + 29 = 65. What is x?
  5. 5.Solve: 2x − 2 = 10. What is x?
  6. 6.Solve: 7(x + 6) = 119. What is x?
  7. 7.Solve: 9x + 22 = 94. What is x?
  8. 8.Solve: 3y + 19 = 31. What is y?
  9. 9.Solve: 4p + 23 = 47. What is p?
  10. 10.Solve: 8t − 49 = 47. What is t?
  11. 11.Manav is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  12. 12.Solve: 2(m + 5) = 38. What is m?
  13. 13.Vivaan is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  14. 14.Solve: 4p − 43 = 13. What is p?
  15. 15.Joseph thinks of a number, multiplies it by 2 and then adds 10. The result is 14. What is the number?
  16. 16.Solve: 4t + 8 = 36. What is t?
  17. 17.Solve: 2p + 9 = 31. What is p?
  18. 18.Solve: 8(p + 4) = 144. What is p?
  19. 19.Solve: n/4 + 5 = 15. What is n?
  20. 20.Rohan is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  21. 21.Aarav thinks of a number, multiplies it by 8 and then adds 15. The result is 55. What is the number?
  22. 22.Vivaan thinks of a number, multiplies it by 5 and then adds 10. The result is 80. What is the number?
  23. 23.Solve: 9(x + 2) = 36. What is x?
  24. 24.Solve: 6t − 3 = 33. What is t?
  25. 25.Solve: 7(x + 5) = 126. What is x?
  26. 26.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 16 years. How old is Vivaan?
  27. 27.Solve: 3p + 22 = 25. What is p?
  28. 28.Solve: x/7 + 20 = 21. What is x?
  29. 29.Solve: 8p − 27 = 13. What is p?
  30. 30.Solve: 6x + 15 = 93. What is x?
  31. 31.Solve: t/4 + 11 = 12. What is t?
  32. 32.Solve: 9x − 44 = 28. What is x?
  33. 33.Solve: 7y + 5 = 75. What is y?
  34. 34.Ishaan thinks of a number, multiplies it by 2 and then adds 25. The result is 27. What is the number?
  35. 35.Solve: x/9 + 6 = 14. What is x?
  36. 36.Solve: 7t + 21 = 84. What is t?
  37. 37.Solve: 8x − 27 = 61. What is x?
  38. 38.Isha’s mother is twice as old as Isha. Their ages add up to 30 years. How old is Isha?
  39. 39.Solve: y/6 + 5 = 19. What is y?
  40. 40.Solve: 2(t + 3) = 32. What is t?

Answer key

  1. 55
  2. 36
  3. 2
  4. 4
  5. 6
  6. 11
  7. 8
  8. 4
  9. 6
  10. 12
  11. 10
  12. 14
  13. 12
  14. 14
  15. 2
  16. 7
  17. 11
  18. 14
  19. 40
  20. 10
  21. 5
  22. 14
  23. 2
  24. 6
  25. 13
  26. 4
  27. 1
  28. 7
  29. 5
  30. 13
  31. 4
  32. 8
  33. 10
  34. 1
  35. 72
  36. 9
  37. 11
  38. 10
  39. 84
  40. 13

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