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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 321 · 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.Aarav thinks of a number, multiplies it by 9 and then adds 24. The result is 51. What is the number?
  2. 2.Solve: 6y + 4 = 16. What is y?
  3. 3.Solve: 6(x + 1) = 90. What is x?
  4. 4.Solve: n/9 + 9 = 24. What is n?
  5. 5.Solve: 9(x + 6) = 162. What is x?
  6. 6.Riya is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  7. 7.Rohan’s mother is twice as old as Rohan. Their ages add up to 45 years. How old is Rohan?
  8. 8.Solve: 2(x + 2) = 28. What is x?
  9. 9.Solve: x/6 + 9 = 23. What is x?
  10. 10.Solve: 4t − 33 = 15. What is t?
  11. 11.Sneha thinks of a number, multiplies it by 9 and then adds 1. The result is 91. What is the number?
  12. 12.Tara’s mother is three times as old as Tara. Their ages add up to 40 years. How old is Tara?
  13. 13.Solve: 3x − 17 = 22. What is x?
  14. 14.Aditya thinks of a number, multiplies it by 3 and then adds 12. The result is 42. What is the number?
  15. 15.Solve: y/4 + 16 = 25. What is y?
  16. 16.Solve: m/8 + 15 = 20. What is m?
  17. 17.Nisha’s mother is three times as old as Nisha. Their ages add up to 44 years. How old is Nisha?
  18. 18.Solve: x/2 + 18 = 21. What is x?
  19. 19.Solve: 4(m + 3) = 56. What is m?
  20. 20.Solve: m/9 + 12 = 19. What is m?
  21. 21.Solve: 4(p + 8) = 88. What is p?
  22. 22.Solve: 8y − 4 = 44. What is y?
  23. 23.Solve: 7y − 35 = 56. What is y?
  24. 24.Solve: 6y + 13 = 55. What is y?
  25. 25.Solve: t/3 + 2 = 4. What is t?
  26. 26.Joseph thinks of a number, multiplies it by 3 and then adds 26. The result is 41. What is the number?
  27. 27.Ananya’s mother is three times as old as Ananya. Their ages add up to 56 years. How old is Ananya?
  28. 28.Solve: 7y − 80 = 4. What is y?
  29. 29.Solve: m/9 + 5 = 10. What is m?
  30. 30.Solve: 8(t + 8) = 88. What is t?
  31. 31.Solve: 7y + 17 = 94. What is y?
  32. 32.Arjun thinks of a number, multiplies it by 3 and then adds 25. The result is 64. What is the number?
  33. 33.Aditya thinks of a number, multiplies it by 3 and then adds 19. The result is 43. What is the number?
  34. 34.Solve: 4(n + 8) = 64. What is n?
  35. 35.Solve: 8(x + 9) = 120. What is x?
  36. 36.Solve: 8(t + 9) = 80. What is t?
  37. 37.Solve: 2p − 3 = 3. What is p?
  38. 38.Diya is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  39. 39.Solve: 4(n + 1) = 32. What is n?
  40. 40.Isha thinks of a number, multiplies it by 4 and then adds 2. The result is 46. What is the number?

Answer key

  1. 3
  2. 2
  3. 14
  4. 135
  5. 12
  6. 4
  7. 15
  8. 12
  9. 84
  10. 12
  11. 10
  12. 10
  13. 13
  14. 10
  15. 36
  16. 40
  17. 11
  18. 6
  19. 11
  20. 63
  21. 14
  22. 6
  23. 13
  24. 7
  25. 6
  26. 5
  27. 14
  28. 12
  29. 45
  30. 3
  31. 11
  32. 13
  33. 8
  34. 8
  35. 6
  36. 1
  37. 3
  38. 14
  39. 7
  40. 11

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