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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 17 · 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: x/4 + 4 = 11. What is x?
  2. 2.Solve: 5t − 16 = 39. What is t?
  3. 3.Solve: m/5 + 9 = 20. What is m?
  4. 4.Kavya’s mother is twice as old as Kavya. Their ages add up to 24 years. How old is Kavya?
  5. 5.Lakshmi is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  6. 6.Solve: m/6 + 20 = 30. What is m?
  7. 7.Solve: m/6 + 13 = 27. What is m?
  8. 8.Gurpreet thinks of a number, multiplies it by 8 and then adds 28. The result is 92. What is the number?
  9. 9.Solve: p/2 + 10 = 19. What is p?
  10. 10.Solve: 2(p + 2) = 18. What is p?
  11. 11.Solve: 2x + 11 = 31. What is x?
  12. 12.Solve: 2x − 7 = 11. What is x?
  13. 13.Gurpreet thinks of a number, multiplies it by 7 and then adds 12. The result is 110. What is the number?
  14. 14.Solve: 9t − 100 = 17. What is t?
  15. 15.Solve: 3m + 3 = 42. What is m?
  16. 16.Solve: 6(m + 9) = 60. What is m?
  17. 17.Solve: n/4 + 4 = 16. What is n?
  18. 18.Isha thinks of a number, multiplies it by 8 and then adds 13. The result is 109. What is the number?
  19. 19.Pooja thinks of a number, multiplies it by 5 and then adds 1. The result is 56. What is the number?
  20. 20.Lakshmi thinks of a number, multiplies it by 6 and then adds 5. The result is 59. What is the number?
  21. 21.Solve: 5t − 7 = 53. What is t?
  22. 22.Solve: 2t − 1 = 11. What is t?
  23. 23.Lakshmi thinks of a number, multiplies it by 6 and then adds 2. The result is 14. What is the number?
  24. 24.Diya thinks of a number, multiplies it by 7 and then adds 10. The result is 38. What is the number?
  25. 25.Solve: n/9 + 9 = 11. What is n?
  26. 26.Solve: 5t − 45 = 30. What is t?
  27. 27.Solve: x/2 + 10 = 20. What is x?
  28. 28.Kabir thinks of a number, multiplies it by 8 and then adds 8. The result is 64. What is the number?
  29. 29.Solve: 5(x + 7) = 85. What is x?
  30. 30.Solve: 6y − 20 = 10. What is y?
  31. 31.Rahul is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  32. 32.Solve: 6(p + 6) = 126. What is p?
  33. 33.Solve: 3p + 2 = 32. What is p?
  34. 34.Riya thinks of a number, multiplies it by 7 and then adds 22. The result is 36. What is the number?
  35. 35.Solve: p/7 + 7 = 9. What is p?
  36. 36.Solve: 7(t + 3) = 84. What is t?
  37. 37.Solve: 5(t + 1) = 50. What is t?
  38. 38.Solve: 8(x + 3) = 40. What is x?
  39. 39.Sneha thinks of a number, multiplies it by 7 and then adds 10. The result is 24. What is the number?
  40. 40.Solve: 5m + 10 = 45. What is m?

Answer key

  1. 28
  2. 11
  3. 55
  4. 8
  5. 12
  6. 60
  7. 84
  8. 8
  9. 18
  10. 7
  11. 10
  12. 9
  13. 14
  14. 13
  15. 13
  16. 1
  17. 48
  18. 12
  19. 11
  20. 9
  21. 12
  22. 6
  23. 2
  24. 4
  25. 18
  26. 15
  27. 20
  28. 7
  29. 10
  30. 5
  31. 7
  32. 15
  33. 10
  34. 2
  35. 14
  36. 9
  37. 9
  38. 2
  39. 2
  40. 7

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