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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 965 · 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: p/5 + 12 = 14. What is p?
  2. 2.Solve: 3x − 17 = 25. What is x?
  3. 3.Solve: 3t + 30 = 54. What is t?
  4. 4.Solve: 2m + 8 = 14. What is m?
  5. 5.Solve: 3(y + 8) = 57. What is y?
  6. 6.Solve: y/4 + 5 = 13. What is y?
  7. 7.Diya thinks of a number, multiplies it by 9 and then adds 21. The result is 93. What is the number?
  8. 8.Solve: 8(x + 9) = 136. What is x?
  9. 9.Karan is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  10. 10.Solve: x/5 + 8 = 22. What is x?
  11. 11.Meera thinks of a number, multiplies it by 3 and then adds 28. The result is 67. What is the number?
  12. 12.Solve: t/8 + 14 = 18. What is t?
  13. 13.Diya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  14. 14.Solve: 7n + 13 = 76. What is n?
  15. 15.Solve: x/2 + 1 = 3. What is x?
  16. 16.Zoya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  17. 17.Arjun is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  18. 18.Joseph thinks of a number, multiplies it by 3 and then adds 20. The result is 53. What is the number?
  19. 19.Solve: 4(x + 3) = 68. What is x?
  20. 20.Solve: 4n + 22 = 74. What is n?
  21. 21.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 45 years. How old is Saanvi?
  22. 22.Solve: 4m + 6 = 14. What is m?
  23. 23.Solve: p/6 + 5 = 17. What is p?
  24. 24.Solve: 8y − 1 = 15. What is y?
  25. 25.Solve: 2p + 16 = 28. What is p?
  26. 26.Solve: 9y + 24 = 87. What is y?
  27. 27.Solve: 5n + 6 = 11. What is n?
  28. 28.Pooja’s mother is four times as old as Pooja. Their ages add up to 30 years. How old is Pooja?
  29. 29.Vivaan thinks of a number, multiplies it by 8 and then adds 20. The result is 140. What is the number?
  30. 30.Solve: 4(p + 6) = 76. What is p?
  31. 31.Solve: 4y + 30 = 34. What is y?
  32. 32.Solve: 5t − 42 = 13. What is t?
  33. 33.Rahul’s mother is twice as old as Rahul. Their ages add up to 33 years. How old is Rahul?
  34. 34.Priya thinks of a number, multiplies it by 7 and then adds 2. The result is 107. What is the number?
  35. 35.Zoya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  36. 36.Solve: 3(m + 2) = 27. What is m?
  37. 37.Gurpreet is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  38. 38.Solve: 6m − 49 = 41. What is m?
  39. 39.Solve: 9y + 25 = 133. What is y?
  40. 40.Diya thinks of a number, multiplies it by 2 and then adds 9. The result is 23. What is the number?

Answer key

  1. 10
  2. 14
  3. 8
  4. 3
  5. 11
  6. 32
  7. 8
  8. 8
  9. 11
  10. 70
  11. 13
  12. 32
  13. 7
  14. 9
  15. 4
  16. 7
  17. 13
  18. 11
  19. 14
  20. 13
  21. 9
  22. 2
  23. 72
  24. 2
  25. 6
  26. 7
  27. 1
  28. 6
  29. 15
  30. 13
  31. 1
  32. 11
  33. 11
  34. 15
  35. 6
  36. 7
  37. 5
  38. 15
  39. 12
  40. 7

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