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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 150 · 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: 5(x + 5) = 35. What is x?
  2. 2.Solve: m/2 + 14 = 20. What is m?
  3. 3.Aditya is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  4. 4.Solve: 4m + 27 = 83. What is m?
  5. 5.Dev is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  6. 6.Solve: 4(n + 4) = 52. What is n?
  7. 7.Zoya’s mother is four times as old as Zoya. Their ages add up to 50 years. How old is Zoya?
  8. 8.Ishaan is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  9. 9.Solve: 4(y + 3) = 72. What is y?
  10. 10.Arjun thinks of a number, multiplies it by 5 and then adds 20. The result is 75. What is the number?
  11. 11.Solve: m/7 + 2 = 3. What is m?
  12. 12.Sneha thinks of a number, multiplies it by 8 and then adds 14. The result is 134. What is the number?
  13. 13.Solve: 4(p + 5) = 76. What is p?
  14. 14.Solve: 6(p + 4) = 30. What is p?
  15. 15.Lakshmi thinks of a number, multiplies it by 6 and then adds 19. The result is 85. What is the number?
  16. 16.Solve: x/3 + 18 = 29. What is x?
  17. 17.Solve: 2t + 29 = 55. What is t?
  18. 18.Solve: y/2 + 2 = 4. What is y?
  19. 19.Solve: 6p − 23 = 7. What is p?
  20. 20.Solve: 7(p + 3) = 126. What is p?
  21. 21.Zoya thinks of a number, multiplies it by 3 and then adds 29. The result is 32. What is the number?
  22. 22.Tara’s mother is four times as old as Tara. Their ages add up to 20 years. How old is Tara?
  23. 23.Solve: m/4 + 15 = 23. What is m?
  24. 24.Solve: 4(n + 1) = 64. What is n?
  25. 25.Solve: 3n + 5 = 11. What is n?
  26. 26.Riya thinks of a number, multiplies it by 5 and then adds 23. The result is 63. What is the number?
  27. 27.Solve: 4p + 6 = 26. What is p?
  28. 28.Solve: 3t − 18 = 24. What is t?
  29. 29.Solve: n/9 + 3 = 6. What is n?
  30. 30.Solve: 4(y + 2) = 12. What is y?
  31. 31.Solve: 4p + 23 = 27. What is p?
  32. 32.Solve: p/7 + 2 = 7. What is p?
  33. 33.Solve: m/5 + 4 = 5. What is m?
  34. 34.Riya’s mother is three times as old as Riya. Their ages add up to 52 years. How old is Riya?
  35. 35.Isha thinks of a number, multiplies it by 6 and then adds 8. The result is 98. What is the number?
  36. 36.Solve: 7(n + 2) = 70. What is n?
  37. 37.Solve: 7y − 80 = 25. What is y?
  38. 38.Solve: 6(y + 8) = 90. What is y?
  39. 39.Solve: 3n + 3 = 6. What is n?
  40. 40.Solve: 6y + 30 = 90. What is y?

Answer key

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

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