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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 924 · 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: 4p − 2 = 18. What is p?
  2. 2.Solve: p/8 + 19 = 23. What is p?
  3. 3.Solve: 4(n + 1) = 32. What is n?
  4. 4.Solve: 4t + 1 = 45. What is t?
  5. 5.Kabir is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  6. 6.Solve: 2n + 3 = 33. What is n?
  7. 7.Sneha thinks of a number, multiplies it by 2 and then adds 25. The result is 49. What is the number?
  8. 8.Solve: 7m − 3 = 81. What is m?
  9. 9.Solve: 3x + 11 = 14. What is x?
  10. 10.Solve: 6p + 24 = 84. What is p?
  11. 11.Rahul’s mother is twice as old as Rahul. Their ages add up to 30 years. How old is Rahul?
  12. 12.Solve: 9y + 16 = 52. What is y?
  13. 13.Solve: 3(p + 3) = 21. What is p?
  14. 14.Solve: t/7 + 13 = 23. What is t?
  15. 15.Rahul thinks of a number, multiplies it by 8 and then adds 11. The result is 99. What is the number?
  16. 16.Pooja’s mother is three times as old as Pooja. Their ages add up to 16 years. How old is Pooja?
  17. 17.Solve: 6p + 4 = 52. What is p?
  18. 18.Pooja thinks of a number, multiplies it by 6 and then adds 27. The result is 111. What is the number?
  19. 19.Dev is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  20. 20.Solve: 3p + 12 = 21. What is p?
  21. 21.Solve: 8(t + 2) = 104. What is t?
  22. 22.Solve: 8m + 18 = 98. What is m?
  23. 23.Rahul is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  24. 24.Solve: m/4 + 11 = 25. What is m?
  25. 25.Solve: 7(y + 8) = 133. What is y?
  26. 26.Solve: 2n + 16 = 20. What is n?
  27. 27.Solve: t/3 + 7 = 18. What is t?
  28. 28.Joseph thinks of a number, multiplies it by 6 and then adds 28. The result is 88. What is the number?
  29. 29.Solve: 4t + 8 = 12. What is t?
  30. 30.Solve: 5m − 54 = 21. What is m?
  31. 31.Solve: x/4 + 11 = 26. What is x?
  32. 32.Meera is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  33. 33.Solve: 3p − 20 = 16. What is p?
  34. 34.Solve: 8x + 20 = 60. What is x?
  35. 35.Solve: m/2 + 6 = 7. What is m?
  36. 36.Solve: 5n + 27 = 82. What is n?
  37. 37.Karan thinks of a number, multiplies it by 6 and then adds 2. The result is 92. What is the number?
  38. 38.Solve: 3y − 9 = 27. What is y?
  39. 39.Tara’s mother is twice as old as Tara. Their ages add up to 12 years. How old is Tara?
  40. 40.Solve: 9(m + 8) = 135. What is m?

Answer key

  1. 5
  2. 32
  3. 7
  4. 11
  5. 13
  6. 15
  7. 12
  8. 12
  9. 1
  10. 10
  11. 10
  12. 4
  13. 4
  14. 70
  15. 11
  16. 4
  17. 8
  18. 14
  19. 6
  20. 3
  21. 11
  22. 10
  23. 6
  24. 56
  25. 11
  26. 2
  27. 33
  28. 10
  29. 1
  30. 15
  31. 60
  32. 9
  33. 12
  34. 5
  35. 2
  36. 11
  37. 15
  38. 12
  39. 4
  40. 7

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