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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 397 · 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: 4x + 2 = 10. What is x?
  2. 2.Kavya thinks of a number, multiplies it by 9 and then adds 13. The result is 58. What is the number?
  3. 3.Manav thinks of a number, multiplies it by 6 and then adds 14. The result is 74. What is the number?
  4. 4.Solve: 3(y + 7) = 24. What is y?
  5. 5.Solve: 6p + 15 = 33. What is p?
  6. 6.Solve: 7y + 19 = 103. What is y?
  7. 7.Solve: 8y − 7 = 1. What is y?
  8. 8.Solve: 2p + 17 = 27. What is p?
  9. 9.Solve: 3t + 4 = 7. What is t?
  10. 10.Solve: 8t − 74 = 30. What is t?
  11. 11.Solve: 9m − 3 = 15. What is m?
  12. 12.Solve: 5p − 34 = 31. What is p?
  13. 13.Pooja is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  14. 14.Solve: 7n − 47 = 58. What is n?
  15. 15.Solve: 8n − 90 = 30. What is n?
  16. 16.Solve: 6p − 4 = 2. What is p?
  17. 17.Solve: 8m + 5 = 125. What is m?
  18. 18.Rohan is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  19. 19.Solve: 4(p + 9) = 88. What is p?
  20. 20.Diya thinks of a number, multiplies it by 6 and then adds 30. The result is 78. What is the number?
  21. 21.Nisha’s mother is three times as old as Nisha. Their ages add up to 40 years. How old is Nisha?
  22. 22.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 25 years. How old is Gurpreet?
  23. 23.Solve: 4x − 28 = 32. What is x?
  24. 24.Solve: 2y − 25 = 5. What is y?
  25. 25.Solve: 4p + 22 = 78. What is p?
  26. 26.Solve: n/5 + 13 = 16. What is n?
  27. 27.Solve: 5m − 17 = 28. What is m?
  28. 28.Solve: y/2 + 7 = 12. What is y?
  29. 29.Solve: 8t + 21 = 141. What is t?
  30. 30.Solve: 6p − 47 = 13. What is p?
  31. 31.Manav is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  32. 32.Solve: 6(p + 6) = 114. What is p?
  33. 33.Solve: 3t − 2 = 4. What is t?
  34. 34.Ishaan thinks of a number, multiplies it by 8 and then adds 24. The result is 120. What is the number?
  35. 35.Solve: 4p − 5 = 27. What is p?
  36. 36.Solve: 6t + 14 = 98. What is t?
  37. 37.Solve: 2y − 23 = 7. What is y?
  38. 38.Solve: 8p − 28 = 12. What is p?
  39. 39.Solve: y/5 + 18 = 29. What is y?
  40. 40.Aarav thinks of a number, multiplies it by 5 and then adds 17. The result is 37. What is the number?

Answer key

  1. 2
  2. 5
  3. 10
  4. 1
  5. 3
  6. 12
  7. 1
  8. 5
  9. 1
  10. 13
  11. 2
  12. 13
  13. 11
  14. 15
  15. 15
  16. 1
  17. 15
  18. 11
  19. 13
  20. 8
  21. 10
  22. 5
  23. 15
  24. 15
  25. 14
  26. 15
  27. 9
  28. 10
  29. 15
  30. 10
  31. 15
  32. 13
  33. 2
  34. 12
  35. 8
  36. 14
  37. 15
  38. 5
  39. 55
  40. 4

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