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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 42 · 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: 2p − 2 = 2. What is p?
  2. 2.Solve: 4x − 1 = 47. What is x?
  3. 3.Solve: 4(y + 5) = 24. What is y?
  4. 4.Ishaan thinks of a number, multiplies it by 3 and then adds 1. The result is 19. What is the number?
  5. 5.Solve: m/5 + 14 = 16. What is m?
  6. 6.Riya thinks of a number, multiplies it by 4 and then adds 23. The result is 67. What is the number?
  7. 7.Gurpreet thinks of a number, multiplies it by 7 and then adds 20. The result is 118. What is the number?
  8. 8.Solve: 6x − 13 = 17. What is x?
  9. 9.Solve: 9t − 3 = 15. What is t?
  10. 10.Isha’s mother is twice as old as Isha. Their ages add up to 42 years. How old is Isha?
  11. 11.Solve: 4(m + 3) = 48. What is m?
  12. 12.Solve: 3(y + 6) = 48. What is y?
  13. 13.Solve: 3y − 7 = 23. What is y?
  14. 14.Solve: 9m + 1 = 127. What is m?
  15. 15.Solve: 7n + 19 = 40. What is n?
  16. 16.Solve: 6(m + 2) = 96. What is m?
  17. 17.Aarav thinks of a number, multiplies it by 4 and then adds 17. The result is 45. What is the number?
  18. 18.Karan thinks of a number, multiplies it by 6 and then adds 19. The result is 91. What is the number?
  19. 19.Arjun’s mother is twice as old as Arjun. Their ages add up to 39 years. How old is Arjun?
  20. 20.Tara thinks of a number, multiplies it by 5 and then adds 30. The result is 90. What is the number?
  21. 21.Solve: 7(t + 6) = 77. What is t?
  22. 22.Aarav thinks of a number, multiplies it by 4 and then adds 12. The result is 48. What is the number?
  23. 23.Meera thinks of a number, multiplies it by 6 and then adds 1. The result is 13. What is the number?
  24. 24.Solve: 9t − 16 = 29. What is t?
  25. 25.Solve: 6(n + 3) = 24. What is n?
  26. 26.Solve: 9(p + 3) = 36. What is p?
  27. 27.Solve: 7(x + 3) = 98. What is x?
  28. 28.Solve: 2(m + 3) = 18. What is m?
  29. 29.Solve: m/7 + 6 = 13. What is m?
  30. 30.Solve: x/4 + 6 = 10. What is x?
  31. 31.Solve: 3n + 30 = 72. What is n?
  32. 32.Riya thinks of a number, multiplies it by 8 and then adds 17. The result is 33. What is the number?
  33. 33.Solve: 7t − 23 = 75. What is t?
  34. 34.Solve: 6t − 3 = 3. What is t?
  35. 35.Kabir thinks of a number, multiplies it by 9 and then adds 20. The result is 119. What is the number?
  36. 36.Solve: 5t + 11 = 86. What is t?
  37. 37.Solve: 3p + 23 = 35. What is p?
  38. 38.Solve: 4t + 24 = 32. What is t?
  39. 39.Solve: y/9 + 16 = 23. What is y?
  40. 40.Arjun thinks of a number, multiplies it by 7 and then adds 13. The result is 97. What is the number?

Answer key

  1. 2
  2. 12
  3. 1
  4. 6
  5. 10
  6. 11
  7. 14
  8. 5
  9. 2
  10. 14
  11. 9
  12. 10
  13. 10
  14. 14
  15. 3
  16. 14
  17. 7
  18. 12
  19. 13
  20. 12
  21. 5
  22. 9
  23. 2
  24. 5
  25. 1
  26. 1
  27. 11
  28. 6
  29. 49
  30. 16
  31. 14
  32. 2
  33. 14
  34. 1
  35. 11
  36. 15
  37. 4
  38. 2
  39. 63
  40. 12

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