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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 70 · 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: 6p + 28 = 112. What is p?
  2. 2.Rahul is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  3. 3.Solve: 6(m + 8) = 90. What is m?
  4. 4.Solve: 5m − 25 = 15. What is m?
  5. 5.Kavya thinks of a number, multiplies it by 5 and then adds 2. The result is 17. What is the number?
  6. 6.Solve: 2x + 2 = 28. What is x?
  7. 7.Gurpreet thinks of a number, multiplies it by 8 and then adds 3. The result is 43. What is the number?
  8. 8.Solve: 7p + 14 = 42. What is p?
  9. 9.Solve: 3x − 14 = 4. What is x?
  10. 10.Solve: 5n − 31 = 9. What is n?
  11. 11.Solve: x/4 + 4 = 6. What is x?
  12. 12.Meera thinks of a number, multiplies it by 4 and then adds 28. The result is 32. What is the number?
  13. 13.Solve: 8(m + 3) = 144. What is m?
  14. 14.Solve: 9p + 16 = 43. What is p?
  15. 15.Solve: 7t − 47 = 30. What is t?
  16. 16.Solve: 5m − 5 = 5. What is m?
  17. 17.Vivaan thinks of a number, multiplies it by 2 and then adds 10. The result is 26. What is the number?
  18. 18.Ananya’s mother is three times as old as Ananya. Their ages add up to 32 years. How old is Ananya?
  19. 19.Solve: 6(t + 3) = 90. What is t?
  20. 20.Solve: 6y − 61 = 11. What is y?
  21. 21.Solve: 3(p + 8) = 42. What is p?
  22. 22.Solve: 6(x + 8) = 96. What is x?
  23. 23.Solve: 4(p + 3) = 40. What is p?
  24. 24.Farhan is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  25. 25.Solve: t/6 + 8 = 10. What is t?
  26. 26.Solve: 2(m + 7) = 16. What is m?
  27. 27.Kavya thinks of a number, multiplies it by 2 and then adds 3. The result is 13. What is the number?
  28. 28.Solve: 6(p + 3) = 30. What is p?
  29. 29.Solve: 6x − 18 = 60. What is x?
  30. 30.Solve: 3(x + 7) = 57. What is x?
  31. 31.Solve: 7(m + 5) = 42. What is m?
  32. 32.Solve: 9(p + 8) = 144. What is p?
  33. 33.Meera’s mother is four times as old as Meera. Their ages add up to 40 years. How old is Meera?
  34. 34.Solve: 5x − 60 = 5. What is x?
  35. 35.Solve: 7(x + 1) = 35. What is x?
  36. 36.Solve: 3n + 19 = 49. What is n?
  37. 37.Solve: 2(m + 5) = 26. What is m?
  38. 38.Solve: 4m − 6 = 2. What is m?
  39. 39.Tara thinks of a number, multiplies it by 2 and then adds 23. The result is 39. What is the number?
  40. 40.Arjun’s mother is four times as old as Arjun. Their ages add up to 30 years. How old is Arjun?

Answer key

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

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