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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 250 · 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: 4(y + 6) = 80. What is y?
  2. 2.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 15 years. How old is Ishaan?
  3. 3.Solve: 7(n + 2) = 77. What is n?
  4. 4.Solve: 9y + 17 = 107. What is y?
  5. 5.Solve: 6x + 17 = 83. What is x?
  6. 6.Solve: 2(y + 5) = 24. What is y?
  7. 7.Karan is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  8. 8.Diya’s mother is four times as old as Diya. Their ages add up to 50 years. How old is Diya?
  9. 9.Solve: 2p + 7 = 25. What is p?
  10. 10.Solve: 6y − 19 = 65. What is y?
  11. 11.Solve: 5t − 13 = 42. What is t?
  12. 12.Solve: t/4 + 10 = 21. What is t?
  13. 13.Solve: n/3 + 7 = 13. What is n?
  14. 14.Kabir thinks of a number, multiplies it by 4 and then adds 19. The result is 67. What is the number?
  15. 15.Zoya thinks of a number, multiplies it by 3 and then adds 12. The result is 39. What is the number?
  16. 16.Kabir is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  17. 17.Solve: 4m + 17 = 21. What is m?
  18. 18.Meera is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  19. 19.Isha thinks of a number, multiplies it by 8 and then adds 3. The result is 27. What is the number?
  20. 20.Solve: 6p + 15 = 99. What is p?
  21. 21.Solve: y/9 + 2 = 16. What is y?
  22. 22.Solve: 6n − 36 = 6. What is n?
  23. 23.Solve: 7(m + 6) = 147. What is m?
  24. 24.Solve: 7y − 19 = 65. What is y?
  25. 25.Joseph is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  26. 26.Solve: 5(n + 8) = 115. What is n?
  27. 27.Solve: 8m + 10 = 74. What is m?
  28. 28.Solve: 5(x + 6) = 75. What is x?
  29. 29.Solve: 2t − 9 = 1. What is t?
  30. 30.Kavya’s mother is twice as old as Kavya. Their ages add up to 15 years. How old is Kavya?
  31. 31.Nisha thinks of a number, multiplies it by 4 and then adds 22. The result is 30. What is the number?
  32. 32.Solve: p/7 + 2 = 9. What is p?
  33. 33.Solve: 2p − 5 = 23. What is p?
  34. 34.Tara thinks of a number, multiplies it by 7 and then adds 18. The result is 46. What is the number?
  35. 35.Zoya is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  36. 36.Solve: 5y + 10 = 25. What is y?
  37. 37.Solve: 7m + 3 = 101. What is m?
  38. 38.Solve: m/7 + 7 = 8. What is m?
  39. 39.Solve: 5(m + 7) = 90. What is m?
  40. 40.Solve: 2n + 24 = 54. What is n?

Answer key

  1. 14
  2. 5
  3. 9
  4. 10
  5. 11
  6. 7
  7. 5
  8. 10
  9. 9
  10. 14
  11. 11
  12. 44
  13. 18
  14. 12
  15. 9
  16. 11
  17. 1
  18. 4
  19. 3
  20. 14
  21. 126
  22. 7
  23. 15
  24. 12
  25. 7
  26. 15
  27. 8
  28. 9
  29. 5
  30. 5
  31. 2
  32. 49
  33. 14
  34. 4
  35. 8
  36. 3
  37. 14
  38. 7
  39. 11
  40. 15

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