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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 276 · 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: m/4 + 3 = 4. What is m?
  2. 2.Solve: p/9 + 4 = 9. What is p?
  3. 3.Tara is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  4. 4.Solve: x/5 + 14 = 18. What is x?
  5. 5.Tara thinks of a number, multiplies it by 9 and then adds 9. The result is 18. What is the number?
  6. 6.Solve: 3n + 3 = 6. What is n?
  7. 7.Solve: m/8 + 13 = 16. What is m?
  8. 8.Solve: 3t + 27 = 51. What is t?
  9. 9.Solve: 4n + 4 = 40. What is n?
  10. 10.Riya’s mother is four times as old as Riya. Their ages add up to 55 years. How old is Riya?
  11. 11.Aditya thinks of a number, multiplies it by 9 and then adds 1. The result is 10. What is the number?
  12. 12.Solve: 8x − 22 = 18. What is x?
  13. 13.Karan is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  14. 14.Solve: t/2 + 4 = 14. What is t?
  15. 15.Solve: 2m + 22 = 44. What is m?
  16. 16.Solve: 5t + 4 = 39. What is t?
  17. 17.Dev’s mother is four times as old as Dev. Their ages add up to 55 years. How old is Dev?
  18. 18.Solve: 2(x + 2) = 34. What is x?
  19. 19.Solve: p/5 + 3 = 11. What is p?
  20. 20.Solve: 6(n + 1) = 72. What is n?
  21. 21.Solve: 8t + 29 = 93. What is t?
  22. 22.Solve: 3y − 11 = 1. What is y?
  23. 23.Solve: 8(x + 9) = 120. What is x?
  24. 24.Solve: 3(n + 8) = 66. What is n?
  25. 25.Solve: 2t + 13 = 23. What is t?
  26. 26.Solve: 5(y + 7) = 95. What is y?
  27. 27.Solve: 5(n + 5) = 75. What is n?
  28. 28.Karan’s mother is four times as old as Karan. Their ages add up to 65 years. How old is Karan?
  29. 29.Solve: 7p + 5 = 61. What is p?
  30. 30.Solve: 2n + 13 = 31. What is n?
  31. 31.Solve: 8n − 34 = 6. What is n?
  32. 32.Tara is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  33. 33.Solve: 2n + 8 = 22. What is n?
  34. 34.Isha thinks of a number, multiplies it by 9 and then adds 30. The result is 48. What is the number?
  35. 35.Solve: 6t − 6 = 48. What is t?
  36. 36.Solve: 3t − 7 = 2. What is t?
  37. 37.Solve: 5x − 3 = 62. What is x?
  38. 38.Solve: 9y + 4 = 40. What is y?
  39. 39.Dev thinks of a number, multiplies it by 2 and then adds 29. The result is 31. What is the number?
  40. 40.Meera thinks of a number, multiplies it by 7 and then adds 20. The result is 118. What is the number?

Answer key

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

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