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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 672 · 40 sums
TalentJR

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: 2y − 20 = 4. What is y?
  2. 2.Solve: t/9 + 19 = 21. What is t?
  3. 3.Ishaan thinks of a number, multiplies it by 4 and then adds 24. The result is 40. What is the number?
  4. 4.Solve: 6t + 20 = 104. What is t?
  5. 5.Ananya thinks of a number, multiplies it by 2 and then adds 19. The result is 47. What is the number?
  6. 6.Solve: x/6 + 2 = 15. What is x?
  7. 7.Solve: 2p + 19 = 27. What is p?
  8. 8.Solve: 8m + 24 = 136. What is m?
  9. 9.Meera is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  10. 10.Solve: 8t + 3 = 27. What is t?
  11. 11.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 24 years. How old is Gurpreet?
  12. 12.Solve: 2m − 19 = 5. What is m?
  13. 13.Solve: 5(t + 8) = 115. What is t?
  14. 14.Aarav thinks of a number, multiplies it by 3 and then adds 16. The result is 52. What is the number?
  15. 15.Solve: 4t + 24 = 36. What is t?
  16. 16.Solve: 3p + 16 = 61. What is p?
  17. 17.Pooja’s mother is twice as old as Pooja. Their ages add up to 30 years. How old is Pooja?
  18. 18.Solve: 9m − 7 = 2. What is m?
  19. 19.Tara thinks of a number, multiplies it by 2 and then adds 7. The result is 23. What is the number?
  20. 20.Solve: x/2 + 16 = 18. What is x?
  21. 21.Saanvi is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  22. 22.Solve: 3(n + 5) = 30. What is n?
  23. 23.Solve: m/8 + 1 = 14. What is m?
  24. 24.Saanvi thinks of a number, multiplies it by 5 and then adds 18. The result is 38. What is the number?
  25. 25.Arjun is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  26. 26.Solve: t/7 + 9 = 20. What is t?
  27. 27.Solve: 4(n + 2) = 32. What is n?
  28. 28.Joseph is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  29. 29.Solve: 4m + 21 = 57. What is m?
  30. 30.Solve: 8m − 36 = 84. What is m?
  31. 31.Solve: m/2 + 16 = 20. What is m?
  32. 32.Solve: 4m − 4 = 4. What is m?
  33. 33.Solve: x/2 + 5 = 19. What is x?
  34. 34.Priya thinks of a number, multiplies it by 9 and then adds 10. The result is 127. What is the number?
  35. 35.Solve: 4t − 12 = 48. What is t?
  36. 36.Solve: 2(y + 6) = 38. What is y?
  37. 37.Solve: m/2 + 15 = 23. What is m?
  38. 38.Solve: t/9 + 16 = 18. What is t?
  39. 39.Karan’s mother is three times as old as Karan. Their ages add up to 60 years. How old is Karan?
  40. 40.Solve: 7m + 27 = 97. What is m?

Answer key

  1. 12
  2. 18
  3. 4
  4. 14
  5. 14
  6. 78
  7. 4
  8. 14
  9. 4
  10. 3
  11. 8
  12. 12
  13. 15
  14. 12
  15. 3
  16. 15
  17. 10
  18. 1
  19. 8
  20. 4
  21. 8
  22. 5
  23. 104
  24. 4
  25. 15
  26. 77
  27. 6
  28. 4
  29. 9
  30. 15
  31. 8
  32. 2
  33. 28
  34. 13
  35. 15
  36. 13
  37. 16
  38. 18
  39. 15
  40. 10

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