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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 565 · 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.Karan thinks of a number, multiplies it by 7 and then adds 9. The result is 114. What is the number?
  2. 2.Rahul thinks of a number, multiplies it by 2 and then adds 17. The result is 21. What is the number?
  3. 3.Solve: 2m − 7 = 5. What is m?
  4. 4.Solve: y/5 + 2 = 5. What is y?
  5. 5.Solve: 3t − 35 = 4. What is t?
  6. 6.Solve: x/5 + 19 = 31. What is x?
  7. 7.Solve: m/5 + 7 = 15. What is m?
  8. 8.Solve: 9t + 23 = 86. What is t?
  9. 9.Solve: 5(t + 3) = 35. What is t?
  10. 10.Nisha is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  11. 11.Nisha thinks of a number, multiplies it by 5 and then adds 27. The result is 67. What is the number?
  12. 12.Solve: y/9 + 7 = 21. What is y?
  13. 13.Solve: 5n − 2 = 18. What is n?
  14. 14.Solve: 8(m + 8) = 184. What is m?
  15. 15.Solve: 5(m + 6) = 95. What is m?
  16. 16.Solve: 9y − 109 = 17. What is y?
  17. 17.Solve: 4m + 6 = 54. What is m?
  18. 18.Solve: 9x + 6 = 87. What is x?
  19. 19.Solve: 9x + 7 = 70. What is x?
  20. 20.Solve: m/8 + 2 = 9. What is m?
  21. 21.Solve: 3n + 27 = 30. What is n?
  22. 22.Lakshmi thinks of a number, multiplies it by 5 and then adds 23. The result is 58. What is the number?
  23. 23.Rohan is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  24. 24.Tara is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  25. 25.Solve: 2(y + 2) = 14. What is y?
  26. 26.Solve: 4p − 3 = 9. What is p?
  27. 27.Solve: 3x − 2 = 7. What is x?
  28. 28.Solve: 5(y + 1) = 25. What is y?
  29. 29.Karan’s mother is four times as old as Karan. Their ages add up to 40 years. How old is Karan?
  30. 30.Diya thinks of a number, multiplies it by 9 and then adds 3. The result is 138. What is the number?
  31. 31.Solve: 3p + 21 = 54. What is p?
  32. 32.Solve: 8p − 1 = 15. What is p?
  33. 33.Solve: 6(p + 8) = 102. What is p?
  34. 34.Solve: 6(x + 2) = 60. What is x?
  35. 35.Solve: m/3 + 8 = 19. What is m?
  36. 36.Solve: 7p + 6 = 69. What is p?
  37. 37.Manav thinks of a number, multiplies it by 5 and then adds 24. The result is 79. What is the number?
  38. 38.Solve: 9t + 2 = 128. What is t?
  39. 39.Meera thinks of a number, multiplies it by 5 and then adds 22. The result is 82. What is the number?
  40. 40.Rohan is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?

Answer key

  1. 15
  2. 2
  3. 6
  4. 15
  5. 13
  6. 60
  7. 40
  8. 7
  9. 4
  10. 4
  11. 8
  12. 126
  13. 4
  14. 15
  15. 13
  16. 14
  17. 12
  18. 9
  19. 7
  20. 56
  21. 1
  22. 7
  23. 6
  24. 12
  25. 5
  26. 3
  27. 3
  28. 4
  29. 8
  30. 15
  31. 11
  32. 2
  33. 9
  34. 8
  35. 33
  36. 9
  37. 11
  38. 14
  39. 12
  40. 6

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