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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 208 · 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: 9y − 13 = 32. What is y?
  2. 2.Solve: n/5 + 3 = 15. What is n?
  3. 3.Solve: 3y + 21 = 27. What is y?
  4. 4.Solve: t/4 + 17 = 30. What is t?
  5. 5.Solve: 6x − 13 = 5. What is x?
  6. 6.Solve: 4(t + 2) = 20. What is t?
  7. 7.Solve: 3(n + 9) = 36. What is n?
  8. 8.Solve: x/4 + 13 = 28. What is x?
  9. 9.Solve: t/5 + 13 = 25. What is t?
  10. 10.Solve: n/2 + 8 = 20. What is n?
  11. 11.Solve: 8(y + 3) = 144. What is y?
  12. 12.Solve: 7y − 3 = 18. What is y?
  13. 13.Solve: 3(x + 9) = 33. What is x?
  14. 14.Solve: 4(y + 9) = 96. What is y?
  15. 15.Solve: 5m + 20 = 50. What is m?
  16. 16.Solve: 4(n + 9) = 52. What is n?
  17. 17.Solve: m/4 + 20 = 34. What is m?
  18. 18.Solve: 2(p + 2) = 16. What is p?
  19. 19.Rahul is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  20. 20.Solve: 5x + 25 = 80. What is x?
  21. 21.Ananya thinks of a number, multiplies it by 8 and then adds 16. The result is 120. What is the number?
  22. 22.Ananya thinks of a number, multiplies it by 2 and then adds 7. The result is 23. What is the number?
  23. 23.Ishaan thinks of a number, multiplies it by 7 and then adds 7. The result is 21. What is the number?
  24. 24.Solve: t/5 + 10 = 16. What is t?
  25. 25.Solve: 3p + 25 = 67. What is p?
  26. 26.Isha’s mother is twice as old as Isha. Their ages add up to 36 years. How old is Isha?
  27. 27.Dev thinks of a number, multiplies it by 9 and then adds 30. The result is 120. What is the number?
  28. 28.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 52 years. How old is Gurpreet?
  29. 29.Solve: 4(y + 6) = 68. What is y?
  30. 30.Kavya thinks of a number, multiplies it by 6 and then adds 24. The result is 114. What is the number?
  31. 31.Solve: 7m − 24 = 4. What is m?
  32. 32.Meera is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  33. 33.Solve: 7x + 7 = 35. What is x?
  34. 34.Solve: 5(t + 7) = 60. What is t?
  35. 35.Solve: 3t + 12 = 45. What is t?
  36. 36.Solve: 7(p + 5) = 119. What is p?
  37. 37.Solve: m/8 + 9 = 16. What is m?
  38. 38.Solve: 8(y + 6) = 112. What is y?
  39. 39.Priya thinks of a number, multiplies it by 9 and then adds 22. The result is 139. What is the number?
  40. 40.Aditya thinks of a number, multiplies it by 6 and then adds 25. The result is 115. What is the number?

Answer key

  1. 5
  2. 60
  3. 2
  4. 52
  5. 3
  6. 3
  7. 3
  8. 60
  9. 60
  10. 24
  11. 15
  12. 3
  13. 2
  14. 15
  15. 6
  16. 4
  17. 56
  18. 6
  19. 7
  20. 11
  21. 13
  22. 8
  23. 2
  24. 30
  25. 14
  26. 12
  27. 10
  28. 13
  29. 11
  30. 15
  31. 4
  32. 6
  33. 4
  34. 5
  35. 11
  36. 12
  37. 56
  38. 8
  39. 13
  40. 15

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