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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 729 · 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: 9y − 19 = 17. What is y?
  2. 2.Solve: 8(y + 8) = 144. What is y?
  3. 3.Solve: 9p + 21 = 30. What is p?
  4. 4.Solve: 9m − 88 = 47. What is m?
  5. 5.Solve: t/7 + 17 = 32. What is t?
  6. 6.Solve: 4(x + 2) = 24. What is x?
  7. 7.Solve: 8(t + 4) = 96. What is t?
  8. 8.Solve: 7n − 48 = 57. What is n?
  9. 9.Solve: 6y + 6 = 60. What is y?
  10. 10.Solve: n/5 + 18 = 19. What is n?
  11. 11.Solve: 8m + 22 = 30. What is m?
  12. 12.Solve: y/5 + 16 = 19. What is y?
  13. 13.Solve: n/7 + 9 = 14. What is n?
  14. 14.Solve: 9(n + 4) = 99. What is n?
  15. 15.Solve: 4(x + 1) = 52. What is x?
  16. 16.Tara thinks of a number, multiplies it by 2 and then adds 14. The result is 18. What is the number?
  17. 17.Solve: y/4 + 5 = 7. What is y?
  18. 18.Farhan thinks of a number, multiplies it by 2 and then adds 9. The result is 33. What is the number?
  19. 19.Solve: 5x − 7 = 3. What is x?
  20. 20.Solve: 9p + 9 = 90. What is p?
  21. 21.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 27 years. How old is Ishaan?
  22. 22.Pooja is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  23. 23.Solve: x/8 + 1 = 2. What is x?
  24. 24.Solve: 7m + 30 = 65. What is m?
  25. 25.Solve: m/7 + 6 = 13. What is m?
  26. 26.Saanvi is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  27. 27.Solve: 6n + 11 = 95. What is n?
  28. 28.Solve: 2(m + 6) = 22. What is m?
  29. 29.Solve: m/5 + 17 = 28. What is m?
  30. 30.Ananya is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  31. 31.Ananya is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  32. 32.Solve: 9n − 3 = 15. What is n?
  33. 33.Zoya thinks of a number, multiplies it by 2 and then adds 9. The result is 19. What is the number?
  34. 34.Solve: 7t + 16 = 93. What is t?
  35. 35.Solve: x/7 + 4 = 13. What is x?
  36. 36.Solve: x/4 + 12 = 27. What is x?
  37. 37.Kavya is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  38. 38.Joseph thinks of a number, multiplies it by 5 and then adds 25. The result is 45. What is the number?
  39. 39.Sneha’s mother is four times as old as Sneha. Their ages add up to 30 years. How old is Sneha?
  40. 40.Solve: x/8 + 4 = 19. What is x?

Answer key

  1. 4
  2. 10
  3. 1
  4. 15
  5. 105
  6. 4
  7. 8
  8. 15
  9. 9
  10. 5
  11. 1
  12. 15
  13. 35
  14. 7
  15. 12
  16. 2
  17. 8
  18. 12
  19. 2
  20. 9
  21. 9
  22. 8
  23. 8
  24. 5
  25. 49
  26. 6
  27. 14
  28. 5
  29. 55
  30. 7
  31. 11
  32. 2
  33. 5
  34. 11
  35. 63
  36. 60
  37. 12
  38. 4
  39. 6
  40. 120

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