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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 219 · 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.Diya thinks of a number, multiplies it by 4 and then adds 21. The result is 33. What is the number?
  2. 2.Solve: 2(m + 2) = 28. What is m?
  3. 3.Solve: 2(x + 7) = 16. What is x?
  4. 4.Solve: 8x + 12 = 132. What is x?
  5. 5.Priya thinks of a number, multiplies it by 4 and then adds 25. The result is 77. What is the number?
  6. 6.Solve: 3t + 27 = 60. What is t?
  7. 7.Diya thinks of a number, multiplies it by 4 and then adds 1. The result is 29. What is the number?
  8. 8.Solve: 3(p + 8) = 36. What is p?
  9. 9.Solve: t/3 + 16 = 26. What is t?
  10. 10.Solve: m/5 + 13 = 18. What is m?
  11. 11.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 44 years. How old is Saanvi?
  12. 12.Solve: m/3 + 1 = 3. What is m?
  13. 13.Solve: 8t + 25 = 145. What is t?
  14. 14.Farhan’s mother is twice as old as Farhan. Their ages add up to 45 years. How old is Farhan?
  15. 15.Solve: m/2 + 5 = 16. What is m?
  16. 16.Solve: 3x + 2 = 44. What is x?
  17. 17.Rohan is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  18. 18.Solve: 3(m + 5) = 30. What is m?
  19. 19.Solve: 8p + 29 = 61. What is p?
  20. 20.Solve: x/2 + 1 = 9. What is x?
  21. 21.Ishaan thinks of a number, multiplies it by 3 and then adds 26. The result is 41. What is the number?
  22. 22.Solve: m/4 + 20 = 33. What is m?
  23. 23.Solve: t/8 + 19 = 26. What is t?
  24. 24.Solve: 3y − 1 = 2. What is y?
  25. 25.Zoya thinks of a number, multiplies it by 7 and then adds 3. The result is 24. What is the number?
  26. 26.Solve: m/9 + 20 = 26. What is m?
  27. 27.Solve: 2x + 6 = 28. What is x?
  28. 28.Solve: 3y + 29 = 53. What is y?
  29. 29.Pooja thinks of a number, multiplies it by 6 and then adds 20. The result is 44. What is the number?
  30. 30.Solve: x/7 + 11 = 14. What is x?
  31. 31.Solve: 9x − 16 = 11. What is x?
  32. 32.Diya’s mother is three times as old as Diya. Their ages add up to 20 years. How old is Diya?
  33. 33.Solve: 6(m + 8) = 132. What is m?
  34. 34.Dev’s mother is four times as old as Dev. Their ages add up to 60 years. How old is Dev?
  35. 35.Solve: 7(t + 3) = 42. What is t?
  36. 36.Solve: 2y − 6 = 20. What is y?
  37. 37.Solve: 5p − 2 = 8. What is p?
  38. 38.Solve: p/5 + 16 = 19. What is p?
  39. 39.Priya thinks of a number, multiplies it by 4 and then adds 22. The result is 66. What is the number?
  40. 40.Solve: m/3 + 9 = 12. What is m?

Answer key

  1. 3
  2. 12
  3. 1
  4. 15
  5. 13
  6. 11
  7. 7
  8. 4
  9. 30
  10. 25
  11. 11
  12. 6
  13. 15
  14. 15
  15. 22
  16. 14
  17. 12
  18. 5
  19. 4
  20. 16
  21. 5
  22. 52
  23. 56
  24. 1
  25. 3
  26. 54
  27. 11
  28. 8
  29. 4
  30. 21
  31. 3
  32. 5
  33. 14
  34. 12
  35. 3
  36. 13
  37. 2
  38. 15
  39. 11
  40. 9

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