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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 652 · 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’s mother is three times as old as Riya. Their ages add up to 44 years. How old is Riya?
  2. 2.Solve: 8(y + 4) = 40. What is y?
  3. 3.Solve: 2t − 1 = 3. What is t?
  4. 4.Solve: 7t − 7 = 21. What is t?
  5. 5.Solve: 9y + 21 = 93. What is y?
  6. 6.Isha thinks of a number, multiplies it by 8 and then adds 25. The result is 97. What is the number?
  7. 7.Solve: 9(t + 4) = 162. What is t?
  8. 8.Solve: 8n + 14 = 126. What is n?
  9. 9.Solve: 7y + 9 = 100. What is y?
  10. 10.Kavya thinks of a number, multiplies it by 3 and then adds 26. The result is 29. What is the number?
  11. 11.Solve: 9m − 44 = 1. What is m?
  12. 12.Solve: 3y + 4 = 16. What is y?
  13. 13.Ishaan thinks of a number, multiplies it by 9 and then adds 20. The result is 128. What is the number?
  14. 14.Tara thinks of a number, multiplies it by 2 and then adds 28. The result is 46. What is the number?
  15. 15.Solve: 6(n + 7) = 78. What is n?
  16. 16.Solve: 6n − 5 = 19. What is n?
  17. 17.Solve: 3y + 13 = 16. What is y?
  18. 18.Solve: 5m − 4 = 16. What is m?
  19. 19.Solve: 2(x + 1) = 6. What is x?
  20. 20.Solve: t/7 + 10 = 11. What is t?
  21. 21.Solve: x/6 + 17 = 20. What is x?
  22. 22.Solve: 4(t + 4) = 60. What is t?
  23. 23.Arjun is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  24. 24.Solve: m/3 + 20 = 23. What is m?
  25. 25.Nisha is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  26. 26.Solve: 4t − 14 = 6. What is t?
  27. 27.Solve: 7(t + 1) = 42. What is t?
  28. 28.Solve: y/7 + 13 = 26. What is y?
  29. 29.Vivaan thinks of a number, multiplies it by 4 and then adds 21. The result is 29. What is the number?
  30. 30.Solve: 9(x + 2) = 72. What is x?
  31. 31.Isha is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  32. 32.Manav thinks of a number, multiplies it by 5 and then adds 3. The result is 8. What is the number?
  33. 33.Solve: 5(p + 7) = 105. What is p?
  34. 34.Kavya’s mother is twice as old as Kavya. Their ages add up to 30 years. How old is Kavya?
  35. 35.Solve: 7(t + 1) = 91. What is t?
  36. 36.Solve: 3m + 9 = 36. What is m?
  37. 37.Solve: 2x + 25 = 51. What is x?
  38. 38.Solve: t/7 + 1 = 10. What is t?
  39. 39.Solve: 4n − 1 = 7. What is n?
  40. 40.Solve: 4x + 25 = 41. What is x?

Answer key

  1. 11
  2. 1
  3. 2
  4. 4
  5. 8
  6. 9
  7. 14
  8. 14
  9. 13
  10. 1
  11. 5
  12. 4
  13. 12
  14. 9
  15. 6
  16. 4
  17. 1
  18. 4
  19. 2
  20. 7
  21. 18
  22. 11
  23. 8
  24. 9
  25. 9
  26. 5
  27. 5
  28. 91
  29. 2
  30. 6
  31. 15
  32. 1
  33. 14
  34. 10
  35. 12
  36. 9
  37. 13
  38. 63
  39. 2
  40. 4

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