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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 608 · 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: n/5 + 15 = 25. What is n?
  2. 2.Solve: n/2 + 12 = 26. What is n?
  3. 3.Solve: 2y + 8 = 22. What is y?
  4. 4.Solve: 6(t + 1) = 24. What is t?
  5. 5.Solve: y/2 + 1 = 6. What is y?
  6. 6.Solve: 6(n + 2) = 96. What is n?
  7. 7.Dev thinks of a number, multiplies it by 8 and then adds 24. The result is 72. What is the number?
  8. 8.Solve: 2p − 1 = 5. What is p?
  9. 9.Solve: 3(y + 3) = 15. What is y?
  10. 10.Solve: 5n + 17 = 82. What is n?
  11. 11.Solve: n/3 + 6 = 9. What is n?
  12. 12.Solve: m/2 + 20 = 25. What is m?
  13. 13.Solve: 3(m + 6) = 51. What is m?
  14. 14.Solve: 6t + 30 = 102. What is t?
  15. 15.Solve: 8(y + 9) = 160. What is y?
  16. 16.Solve: p/9 + 20 = 22. What is p?
  17. 17.Solve: 6(n + 4) = 48. What is n?
  18. 18.Solve: 2(x + 6) = 18. What is x?
  19. 19.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 30 years. How old is Vivaan?
  20. 20.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 35 years. How old is Saanvi?
  21. 21.Solve: x/4 + 18 = 28. What is x?
  22. 22.Saanvi is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  23. 23.Solve: y/4 + 8 = 23. What is y?
  24. 24.Solve: m/5 + 15 = 23. What is m?
  25. 25.Solve: 2y + 11 = 29. What is y?
  26. 26.Solve: 4(t + 1) = 24. What is t?
  27. 27.Riya’s mother is three times as old as Riya. Their ages add up to 16 years. How old is Riya?
  28. 28.Solve: 4(x + 8) = 80. What is x?
  29. 29.Solve: 8n − 1 = 79. What is n?
  30. 30.Solve: 7y + 22 = 64. What is y?
  31. 31.Solve: m/4 + 6 = 9. What is m?
  32. 32.Solve: n/8 + 2 = 17. What is n?
  33. 33.Aarav thinks of a number, multiplies it by 2 and then adds 13. The result is 41. What is the number?
  34. 34.Solve: 7x − 32 = 38. What is x?
  35. 35.Solve: n/7 + 17 = 31. What is n?
  36. 36.Solve: 9n − 21 = 51. What is n?
  37. 37.Arjun’s mother is twice as old as Arjun. Their ages add up to 36 years. How old is Arjun?
  38. 38.Solve: 5t + 8 = 58. What is t?
  39. 39.Solve: 8t − 63 = 57. What is t?
  40. 40.Kabir thinks of a number, multiplies it by 7 and then adds 29. The result is 113. What is the number?

Answer key

  1. 50
  2. 28
  3. 7
  4. 3
  5. 10
  6. 14
  7. 6
  8. 3
  9. 2
  10. 13
  11. 9
  12. 10
  13. 11
  14. 12
  15. 11
  16. 18
  17. 4
  18. 3
  19. 10
  20. 7
  21. 40
  22. 6
  23. 60
  24. 40
  25. 9
  26. 5
  27. 4
  28. 12
  29. 10
  30. 6
  31. 12
  32. 120
  33. 14
  34. 10
  35. 98
  36. 8
  37. 12
  38. 10
  39. 15
  40. 12

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