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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 458 · 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: 2(n + 3) = 18. What is n?
  2. 2.Solve: 6m − 2 = 22. What is m?
  3. 3.Vivaan thinks of a number, multiplies it by 3 and then adds 20. The result is 47. What is the number?
  4. 4.Solve: 4y − 11 = 1. What is y?
  5. 5.Solve: 3t − 13 = 5. What is t?
  6. 6.Solve: 2n + 22 = 26. What is n?
  7. 7.Nisha thinks of a number, multiplies it by 9 and then adds 10. The result is 127. What is the number?
  8. 8.Solve: 3p + 5 = 44. What is p?
  9. 9.Solve: y/6 + 20 = 21. What is y?
  10. 10.Nisha’s mother is three times as old as Nisha. Their ages add up to 24 years. How old is Nisha?
  11. 11.Solve: 6(m + 3) = 36. What is m?
  12. 12.Solve: m/9 + 5 = 7. What is m?
  13. 13.Solve: 7n − 5 = 2. What is n?
  14. 14.Aarav is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  15. 15.Arjun is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  16. 16.Solve: 4(t + 6) = 32. What is t?
  17. 17.Solve: 5p + 21 = 91. What is p?
  18. 18.Priya thinks of a number, multiplies it by 4 and then adds 24. The result is 40. What is the number?
  19. 19.Solve: 9(x + 4) = 72. What is x?
  20. 20.Solve: x/6 + 18 = 19. What is x?
  21. 21.Rahul is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  22. 22.Solve: 3t + 7 = 37. What is t?
  23. 23.Solve: 5p − 8 = 62. What is p?
  24. 24.Solve: 4m − 30 = 6. What is m?
  25. 25.Diya’s mother is three times as old as Diya. Their ages add up to 36 years. How old is Diya?
  26. 26.Solve: 9(y + 8) = 108. What is y?
  27. 27.Vivaan thinks of a number, multiplies it by 8 and then adds 1. The result is 41. What is the number?
  28. 28.Solve: 5(n + 8) = 85. What is n?
  29. 29.Solve: 6(n + 1) = 90. What is n?
  30. 30.Solve: 6(x + 3) = 90. What is x?
  31. 31.Solve: 2m − 5 = 3. What is m?
  32. 32.Solve: 3(y + 2) = 33. What is y?
  33. 33.Solve: 2p + 26 = 34. What is p?
  34. 34.Solve: 4(n + 7) = 32. What is n?
  35. 35.Solve: x/5 + 2 = 9. What is x?
  36. 36.Solve: 9p − 13 = 14. What is p?
  37. 37.Solve: 2(y + 5) = 36. What is y?
  38. 38.Solve: 8y − 1 = 119. What is y?
  39. 39.Riya’s mother is three times as old as Riya. Their ages add up to 60 years. How old is Riya?
  40. 40.Solve: 2x − 12 = 4. What is x?

Answer key

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

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