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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 915 · 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: 8m − 63 = 49. What is m?
  2. 2.Farhan is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  3. 3.Zoya is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  4. 4.Solve: 4(p + 3) = 56. What is p?
  5. 5.Solve: 3m − 24 = 12. What is m?
  6. 6.Solve: 2t − 10 = 4. What is t?
  7. 7.Solve: 6(x + 9) = 138. What is x?
  8. 8.Solve: 8x + 20 = 140. What is x?
  9. 9.Dev’s mother is twice as old as Dev. Their ages add up to 27 years. How old is Dev?
  10. 10.Solve: 8(p + 9) = 192. What is p?
  11. 11.Solve: 2(y + 6) = 26. What is y?
  12. 12.Solve: 3p − 20 = 16. What is p?
  13. 13.Solve: 7(t + 7) = 91. What is t?
  14. 14.Solve: 7p + 2 = 93. What is p?
  15. 15.Solve: t/5 + 11 = 25. What is t?
  16. 16.Solve: n/2 + 13 = 22. What is n?
  17. 17.Solve: 6p + 17 = 95. What is p?
  18. 18.Isha’s mother is four times as old as Isha. Their ages add up to 35 years. How old is Isha?
  19. 19.Solve: 8t + 5 = 13. What is t?
  20. 20.Solve: 9n − 37 = 44. What is n?
  21. 21.Joseph’s mother is three times as old as Joseph. Their ages add up to 48 years. How old is Joseph?
  22. 22.Solve: 2(t + 9) = 48. What is t?
  23. 23.Solve: 9m − 91 = 35. What is m?
  24. 24.Solve: 8m − 29 = 91. What is m?
  25. 25.Isha thinks of a number, multiplies it by 4 and then adds 28. The result is 44. What is the number?
  26. 26.Solve: 8n + 27 = 99. What is n?
  27. 27.Solve: 7(x + 8) = 70. What is x?
  28. 28.Kabir is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  29. 29.Farhan’s mother is twice as old as Farhan. Their ages add up to 27 years. How old is Farhan?
  30. 30.Aarav’s mother is three times as old as Aarav. Their ages add up to 28 years. How old is Aarav?
  31. 31.Solve: y/7 + 3 = 9. What is y?
  32. 32.Solve: 2t + 4 = 12. What is t?
  33. 33.Solve: 4p − 19 = 29. What is p?
  34. 34.Isha thinks of a number, multiplies it by 2 and then adds 5. The result is 27. What is the number?
  35. 35.Solve: 4m + 12 = 48. What is m?
  36. 36.Joseph thinks of a number, multiplies it by 2 and then adds 7. The result is 17. What is the number?
  37. 37.Solve: 7p − 17 = 39. What is p?
  38. 38.Solve: 2x + 14 = 22. What is x?
  39. 39.Solve: 6t − 68 = 16. What is t?
  40. 40.Solve: 8x + 8 = 24. What is x?

Answer key

  1. 14
  2. 11
  3. 5
  4. 11
  5. 12
  6. 7
  7. 14
  8. 15
  9. 9
  10. 15
  11. 7
  12. 12
  13. 6
  14. 13
  15. 70
  16. 18
  17. 13
  18. 7
  19. 1
  20. 9
  21. 12
  22. 15
  23. 14
  24. 15
  25. 4
  26. 9
  27. 2
  28. 7
  29. 9
  30. 7
  31. 42
  32. 4
  33. 12
  34. 11
  35. 9
  36. 5
  37. 8
  38. 4
  39. 14
  40. 2

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