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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 510 · 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.Riya is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  2. 2.Solve: 5x − 21 = 4. What is x?
  3. 3.Solve: 9m + 16 = 133. What is m?
  4. 4.Solve: 4(x + 3) = 20. What is x?
  5. 5.Solve: 2p + 21 = 37. What is p?
  6. 6.Rahul’s mother is four times as old as Rahul. Their ages add up to 50 years. How old is Rahul?
  7. 7.Solve: m/8 + 5 = 16. What is m?
  8. 8.Farhan thinks of a number, multiplies it by 4 and then adds 19. The result is 67. What is the number?
  9. 9.Solve: 4(p + 1) = 16. What is p?
  10. 10.Ishaan thinks of a number, multiplies it by 2 and then adds 4. The result is 8. What is the number?
  11. 11.Solve: 8y − 38 = 18. What is y?
  12. 12.Solve: t/6 + 20 = 35. What is t?
  13. 13.Solve: 6(m + 4) = 48. What is m?
  14. 14.Ishaan is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  15. 15.Solve: 9p − 55 = 8. What is p?
  16. 16.Solve: 6(y + 2) = 60. What is y?
  17. 17.Solve: n/7 + 15 = 22. What is n?
  18. 18.Solve: 7(t + 1) = 35. What is t?
  19. 19.Solve: 4x − 6 = 10. What is x?
  20. 20.Solve: 5(p + 1) = 65. What is p?
  21. 21.Solve: 8t − 2 = 6. What is t?
  22. 22.Solve: 8n + 7 = 127. What is n?
  23. 23.Solve: 2(n + 7) = 40. What is n?
  24. 24.Joseph is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  25. 25.Solve: p/7 + 20 = 35. What is p?
  26. 26.Solve: 5y − 19 = 26. What is y?
  27. 27.Arjun thinks of a number, multiplies it by 8 and then adds 20. The result is 28. What is the number?
  28. 28.Solve: 9n − 40 = 50. What is n?
  29. 29.Solve: 2x − 17 = 1. What is x?
  30. 30.Nisha is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  31. 31.Solve: 5p − 9 = 31. What is p?
  32. 32.Solve: 6(t + 3) = 78. What is t?
  33. 33.Solve: m/3 + 9 = 24. What is m?
  34. 34.Solve: 9t + 18 = 126. What is t?
  35. 35.Zoya thinks of a number, multiplies it by 8 and then adds 12. The result is 60. What is the number?
  36. 36.Solve: t/3 + 14 = 19. What is t?
  37. 37.Solve: n/2 + 17 = 22. What is n?
  38. 38.Arjun thinks of a number, multiplies it by 9 and then adds 16. The result is 79. What is the number?
  39. 39.Gurpreet thinks of a number, multiplies it by 6 and then adds 19. The result is 85. What is the number?
  40. 40.Solve: p/4 + 9 = 14. What is p?

Answer key

  1. 10
  2. 5
  3. 13
  4. 2
  5. 8
  6. 10
  7. 88
  8. 12
  9. 3
  10. 2
  11. 7
  12. 90
  13. 4
  14. 9
  15. 7
  16. 8
  17. 49
  18. 4
  19. 4
  20. 12
  21. 1
  22. 15
  23. 13
  24. 9
  25. 105
  26. 9
  27. 1
  28. 10
  29. 9
  30. 5
  31. 8
  32. 10
  33. 45
  34. 12
  35. 6
  36. 15
  37. 10
  38. 7
  39. 11
  40. 20

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