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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 326 · 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: 8(m + 1) = 24. What is m?
  2. 2.Solve: 7x + 18 = 95. What is x?
  3. 3.Solve: 4(x + 2) = 16. What is x?
  4. 4.Solve: 4y − 44 = 4. What is y?
  5. 5.Solve: 8n + 20 = 140. What is n?
  6. 6.Solve: 6(m + 8) = 60. What is m?
  7. 7.Solve: 3p + 29 = 44. What is p?
  8. 8.Solve: 4y + 21 = 41. What is y?
  9. 9.Solve: 2(x + 4) = 20. What is x?
  10. 10.Sneha thinks of a number, multiplies it by 8 and then adds 30. The result is 78. What is the number?
  11. 11.Kavya thinks of a number, multiplies it by 2 and then adds 4. The result is 24. What is the number?
  12. 12.Solve: 4p + 26 = 66. What is p?
  13. 13.Solve: y/6 + 13 = 19. What is y?
  14. 14.Solve: x/8 + 3 = 15. What is x?
  15. 15.Solve: 2(m + 5) = 16. What is m?
  16. 16.Solve: m/9 + 20 = 24. What is m?
  17. 17.Karan thinks of a number, multiplies it by 2 and then adds 11. The result is 41. What is the number?
  18. 18.Solve: y/6 + 12 = 27. What is y?
  19. 19.Solve: 3(p + 9) = 33. What is p?
  20. 20.Zoya thinks of a number, multiplies it by 6 and then adds 2. The result is 86. What is the number?
  21. 21.Solve: 2(p + 1) = 30. What is p?
  22. 22.Solve: 6t − 9 = 39. What is t?
  23. 23.Solve: 6x − 5 = 7. What is x?
  24. 24.Isha thinks of a number, multiplies it by 9 and then adds 8. The result is 107. What is the number?
  25. 25.Solve: 9y + 7 = 79. What is y?
  26. 26.Solve: 4x − 14 = 22. What is x?
  27. 27.Solve: 2p + 7 = 11. What is p?
  28. 28.Solve: x/3 + 4 = 12. What is x?
  29. 29.Solve: 3p − 27 = 15. What is p?
  30. 30.Solve: 4m − 3 = 33. What is m?
  31. 31.Solve: 6y − 2 = 10. What is y?
  32. 32.Zoya thinks of a number, multiplies it by 3 and then adds 2. The result is 44. What is the number?
  33. 33.Solve: y/3 + 4 = 17. What is y?
  34. 34.Solve: p/9 + 18 = 28. What is p?
  35. 35.Solve: 5(n + 5) = 90. What is n?
  36. 36.Solve: 6(y + 8) = 114. What is y?
  37. 37.Solve: 9x + 5 = 68. What is x?
  38. 38.Ananya’s mother is twice as old as Ananya. Their ages add up to 15 years. How old is Ananya?
  39. 39.Aditya thinks of a number, multiplies it by 8 and then adds 25. The result is 121. What is the number?
  40. 40.Solve: 8y − 19 = 29. What is y?

Answer key

  1. 2
  2. 11
  3. 2
  4. 12
  5. 15
  6. 2
  7. 5
  8. 5
  9. 6
  10. 6
  11. 10
  12. 10
  13. 36
  14. 96
  15. 3
  16. 36
  17. 15
  18. 90
  19. 2
  20. 14
  21. 14
  22. 8
  23. 2
  24. 11
  25. 8
  26. 9
  27. 2
  28. 24
  29. 14
  30. 9
  31. 2
  32. 14
  33. 39
  34. 90
  35. 13
  36. 11
  37. 7
  38. 5
  39. 12
  40. 6

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