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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 614 · 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: 7(y + 5) = 133. What is y?
  2. 2.Ananya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  3. 3.Solve: p/2 + 7 = 21. What is p?
  4. 4.Solve: 5(x + 4) = 50. What is x?
  5. 5.Solve: 9x − 32 = 31. What is x?
  6. 6.Solve: 7y + 20 = 69. What is y?
  7. 7.Riya thinks of a number, multiplies it by 7 and then adds 3. The result is 59. What is the number?
  8. 8.Solve: 4p − 33 = 23. What is p?
  9. 9.Solve: 6y + 7 = 79. What is y?
  10. 10.Solve: 7(n + 7) = 147. What is n?
  11. 11.Solve: 4(x + 4) = 28. What is x?
  12. 12.Solve: 6y + 10 = 94. What is y?
  13. 13.Solve: 4y + 27 = 35. What is y?
  14. 14.Vivaan thinks of a number, multiplies it by 2 and then adds 28. The result is 34. What is the number?
  15. 15.Solve: p/3 + 6 = 21. What is p?
  16. 16.Solve: t/7 + 20 = 31. What is t?
  17. 17.Solve: x/4 + 4 = 10. What is x?
  18. 18.Solve: 2p + 14 = 28. What is p?
  19. 19.Solve: p/8 + 16 = 30. What is p?
  20. 20.Solve: m/4 + 6 = 10. What is m?
  21. 21.Solve: 4t − 11 = 5. What is t?
  22. 22.Solve: y/2 + 13 = 17. What is y?
  23. 23.Solve: 8y + 2 = 58. What is y?
  24. 24.Solve: 6x + 4 = 22. What is x?
  25. 25.Solve: 3p + 1 = 28. What is p?
  26. 26.Solve: 6x − 1 = 35. What is x?
  27. 27.Solve: 8y − 97 = 23. What is y?
  28. 28.Solve: 6(n + 3) = 42. What is n?
  29. 29.Solve: y/4 + 11 = 25. What is y?
  30. 30.Solve: 5x + 10 = 20. What is x?
  31. 31.Solve: 8(p + 2) = 104. What is p?
  32. 32.Zoya thinks of a number, multiplies it by 8 and then adds 4. The result is 116. What is the number?
  33. 33.Solve: 2y − 1 = 5. What is y?
  34. 34.Solve: 2x − 1 = 3. What is x?
  35. 35.Arjun is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  36. 36.Solve: 3(y + 2) = 30. What is y?
  37. 37.Solve: 9y − 57 = 24. What is y?
  38. 38.Solve: 9(x + 2) = 45. What is x?
  39. 39.Solve: 5t + 14 = 39. What is t?
  40. 40.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 16 years. How old is Ishaan?

Answer key

  1. 14
  2. 4
  3. 28
  4. 6
  5. 7
  6. 7
  7. 8
  8. 14
  9. 12
  10. 14
  11. 3
  12. 14
  13. 2
  14. 3
  15. 45
  16. 77
  17. 24
  18. 7
  19. 112
  20. 16
  21. 4
  22. 8
  23. 7
  24. 3
  25. 9
  26. 6
  27. 15
  28. 4
  29. 56
  30. 2
  31. 11
  32. 14
  33. 3
  34. 2
  35. 8
  36. 8
  37. 9
  38. 3
  39. 5
  40. 4

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