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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 796 · 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/2 + 18 = 21. What is t?
  2. 2.Solve: 9n − 22 = 50. What is n?
  3. 3.Solve: 2x + 19 = 23. What is x?
  4. 4.Meera’s mother is three times as old as Meera. Their ages add up to 52 years. How old is Meera?
  5. 5.Rahul is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  6. 6.Solve: 7x + 8 = 29. What is x?
  7. 7.Solve: 3y + 24 = 66. What is y?
  8. 8.Solve: 2(p + 1) = 30. What is p?
  9. 9.Karan thinks of a number, multiplies it by 4 and then adds 6. The result is 38. What is the number?
  10. 10.Solve: 7(n + 1) = 21. What is n?
  11. 11.Diya’s mother is four times as old as Diya. Their ages add up to 35 years. How old is Diya?
  12. 12.Solve: m/6 + 16 = 30. What is m?
  13. 13.Solve: 6(m + 7) = 78. What is m?
  14. 14.Solve: p/3 + 2 = 10. What is p?
  15. 15.Karan is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  16. 16.Solve: p/4 + 11 = 20. What is p?
  17. 17.Solve: t/2 + 12 = 27. What is t?
  18. 18.Solve: x/4 + 8 = 10. What is x?
  19. 19.Solve: 9(x + 8) = 135. What is x?
  20. 20.Solve: t/9 + 7 = 10. What is t?
  21. 21.Solve: 6(t + 7) = 102. What is t?
  22. 22.Solve: 3x − 3 = 27. What is x?
  23. 23.Solve: 4(y + 2) = 20. What is y?
  24. 24.Solve: 2y + 29 = 35. What is y?
  25. 25.Solve: 7m + 20 = 83. What is m?
  26. 26.Solve: 8y + 26 = 114. What is y?
  27. 27.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 42 years. How old is Ishaan?
  28. 28.Solve: 3y − 6 = 15. What is y?
  29. 29.Joseph thinks of a number, multiplies it by 7 and then adds 12. The result is 89. What is the number?
  30. 30.Isha is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  31. 31.Zoya is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  32. 32.Solve: 5t + 6 = 11. What is t?
  33. 33.Solve: m/4 + 8 = 22. What is m?
  34. 34.Ananya thinks of a number, multiplies it by 7 and then adds 21. The result is 84. What is the number?
  35. 35.Solve: 8t + 24 = 80. What is t?
  36. 36.Solve: m/6 + 1 = 14. What is m?
  37. 37.Solve: 2m − 5 = 1. What is m?
  38. 38.Solve: 3t − 14 = 1. What is t?
  39. 39.Zoya thinks of a number, multiplies it by 2 and then adds 24. The result is 46. What is the number?
  40. 40.Solve: 8n + 1 = 73. What is n?

Answer key

  1. 6
  2. 8
  3. 2
  4. 13
  5. 8
  6. 3
  7. 14
  8. 14
  9. 8
  10. 2
  11. 7
  12. 84
  13. 6
  14. 24
  15. 8
  16. 36
  17. 30
  18. 8
  19. 7
  20. 27
  21. 10
  22. 10
  23. 3
  24. 3
  25. 9
  26. 11
  27. 14
  28. 7
  29. 11
  30. 14
  31. 13
  32. 1
  33. 56
  34. 9
  35. 7
  36. 78
  37. 3
  38. 5
  39. 11
  40. 9

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