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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 795 · 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: t/9 + 18 = 27. What is t?
  2. 2.Manav thinks of a number, multiplies it by 3 and then adds 12. The result is 54. What is the number?
  3. 3.Solve: m/2 + 10 = 13. What is m?
  4. 4.Solve: 8x − 11 = 37. What is x?
  5. 5.Solve: 3t − 26 = 1. What is t?
  6. 6.Solve: x/8 + 15 = 16. What is x?
  7. 7.Arjun’s mother is four times as old as Arjun. Their ages add up to 20 years. How old is Arjun?
  8. 8.Solve: 9p + 2 = 92. What is p?
  9. 9.Solve: 4m + 7 = 55. What is m?
  10. 10.Solve: m/3 + 4 = 17. What is m?
  11. 11.Solve: 8x + 2 = 42. What is x?
  12. 12.Solve: 5y − 6 = 29. What is y?
  13. 13.Solve: 3p − 13 = 14. What is p?
  14. 14.Solve: 3p − 14 = 13. What is p?
  15. 15.Solve: 5x + 14 = 64. What is x?
  16. 16.Lakshmi is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  17. 17.Riya thinks of a number, multiplies it by 5 and then adds 28. The result is 33. What is the number?
  18. 18.Solve: 3(x + 7) = 24. What is x?
  19. 19.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 35 years. How old is Vivaan?
  20. 20.Saanvi thinks of a number, multiplies it by 8 and then adds 2. The result is 90. What is the number?
  21. 21.Dev thinks of a number, multiplies it by 9 and then adds 14. The result is 113. What is the number?
  22. 22.Solve: t/6 + 20 = 29. What is t?
  23. 23.Ananya is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  24. 24.Solve: 8(n + 4) = 96. What is n?
  25. 25.Solve: 4t + 27 = 71. What is t?
  26. 26.Joseph is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  27. 27.Solve: 4(x + 2) = 40. What is x?
  28. 28.Kavya’s mother is four times as old as Kavya. Their ages add up to 65 years. How old is Kavya?
  29. 29.Diya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  30. 30.Solve: 7t − 8 = 13. What is t?
  31. 31.Solve: 2p + 24 = 40. What is p?
  32. 32.Solve: n/6 + 5 = 14. What is n?
  33. 33.Solve: 2x + 3 = 15. What is x?
  34. 34.Solve: n/2 + 4 = 5. What is n?
  35. 35.Solve: 4(m + 5) = 44. What is m?
  36. 36.Joseph is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  37. 37.Solve: 2n − 9 = 17. What is n?
  38. 38.Solve: 9t − 2 = 79. What is t?
  39. 39.Farhan is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  40. 40.Saanvi thinks of a number, multiplies it by 9 and then adds 26. The result is 80. What is the number?

Answer key

  1. 81
  2. 14
  3. 6
  4. 6
  5. 9
  6. 8
  7. 4
  8. 10
  9. 12
  10. 39
  11. 5
  12. 7
  13. 9
  14. 9
  15. 10
  16. 10
  17. 1
  18. 1
  19. 7
  20. 11
  21. 11
  22. 54
  23. 10
  24. 8
  25. 11
  26. 9
  27. 8
  28. 13
  29. 4
  30. 3
  31. 8
  32. 54
  33. 6
  34. 2
  35. 6
  36. 13
  37. 13
  38. 9
  39. 5
  40. 6

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