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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 481 · 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: t/2 + 5 = 15. What is t?
  2. 2.Solve: 2p − 23 = 7. What is p?
  3. 3.Solve: 3(p + 9) = 36. What is p?
  4. 4.Saanvi is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  5. 5.Aditya thinks of a number, multiplies it by 2 and then adds 15. The result is 23. What is the number?
  6. 6.Solve: y/5 + 4 = 12. What is y?
  7. 7.Solve: 5(n + 7) = 55. What is n?
  8. 8.Solve: 3m − 12 = 6. What is m?
  9. 9.Solve: 6n + 8 = 86. What is n?
  10. 10.Solve: 9p − 24 = 84. What is p?
  11. 11.Tara thinks of a number, multiplies it by 7 and then adds 5. The result is 103. What is the number?
  12. 12.Saanvi thinks of a number, multiplies it by 2 and then adds 14. The result is 40. What is the number?
  13. 13.Solve: 6x + 7 = 79. What is x?
  14. 14.Meera thinks of a number, multiplies it by 7 and then adds 21. The result is 91. What is the number?
  15. 15.Priya thinks of a number, multiplies it by 9 and then adds 6. The result is 123. What is the number?
  16. 16.Solve: 6m + 28 = 106. What is m?
  17. 17.Solve: 7(p + 4) = 105. What is p?
  18. 18.Solve: 2t + 7 = 35. What is t?
  19. 19.Tara is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  20. 20.Solve: 6m + 28 = 82. What is m?
  21. 21.Solve: 6(m + 2) = 30. What is m?
  22. 22.Ishaan is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  23. 23.Diya’s mother is four times as old as Diya. Their ages add up to 50 years. How old is Diya?
  24. 24.Solve: 2x − 3 = 11. What is x?
  25. 25.Solve: 2p + 16 = 30. What is p?
  26. 26.Solve: 6x − 5 = 13. What is x?
  27. 27.Solve: 8(y + 1) = 64. What is y?
  28. 28.Diya is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  29. 29.Solve: 7m + 21 = 91. What is m?
  30. 30.Solve: 3(t + 2) = 21. What is t?
  31. 31.Solve: y/8 + 18 = 32. What is y?
  32. 32.Solve: n/6 + 2 = 15. What is n?
  33. 33.Zoya thinks of a number, multiplies it by 3 and then adds 28. The result is 34. What is the number?
  34. 34.Joseph thinks of a number, multiplies it by 8 and then adds 21. The result is 61. What is the number?
  35. 35.Solve: n/7 + 12 = 23. What is n?
  36. 36.Solve: 3n + 16 = 28. What is n?
  37. 37.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 42 years. How old is Gurpreet?
  38. 38.Joseph thinks of a number, multiplies it by 7 and then adds 9. The result is 79. What is the number?
  39. 39.Meera thinks of a number, multiplies it by 3 and then adds 1. The result is 19. What is the number?
  40. 40.Tara thinks of a number, multiplies it by 4 and then adds 11. The result is 55. What is the number?

Answer key

  1. 20
  2. 15
  3. 3
  4. 6
  5. 4
  6. 40
  7. 4
  8. 6
  9. 13
  10. 12
  11. 14
  12. 13
  13. 12
  14. 10
  15. 13
  16. 13
  17. 11
  18. 14
  19. 14
  20. 9
  21. 3
  22. 6
  23. 10
  24. 7
  25. 7
  26. 3
  27. 7
  28. 9
  29. 10
  30. 5
  31. 112
  32. 78
  33. 2
  34. 5
  35. 77
  36. 4
  37. 14
  38. 10
  39. 6
  40. 11

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