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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 292 · 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: m/6 + 6 = 17. What is m?
  2. 2.Solve: 5x − 66 = 9. What is x?
  3. 3.Solve: 6x − 52 = 2. What is x?
  4. 4.Solve: 5m − 11 = 44. What is m?
  5. 5.Rahul thinks of a number, multiplies it by 5 and then adds 15. The result is 25. What is the number?
  6. 6.Solve: 5(x + 3) = 90. What is x?
  7. 7.Karan is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  8. 8.Solve: 8p − 2 = 6. What is p?
  9. 9.Solve: 8m + 3 = 11. What is m?
  10. 10.Solve: 4p − 6 = 2. What is p?
  11. 11.Solve: 3(p + 6) = 36. What is p?
  12. 12.Solve: 2(p + 9) = 20. What is p?
  13. 13.Solve: x/5 + 19 = 28. What is x?
  14. 14.Solve: 2x + 14 = 42. What is x?
  15. 15.Solve: 4(t + 5) = 72. What is t?
  16. 16.Solve: 8m + 10 = 18. What is m?
  17. 17.Solve: x/5 + 6 = 12. What is x?
  18. 18.Kavya is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  19. 19.Solve: 9y + 29 = 128. What is y?
  20. 20.Solve: 3(p + 3) = 36. What is p?
  21. 21.Solve: 7m + 9 = 16. What is m?
  22. 22.Solve: 2(n + 7) = 36. What is n?
  23. 23.Solve: 8m + 26 = 122. What is m?
  24. 24.Solve: 6(y + 9) = 138. What is y?
  25. 25.Joseph thinks of a number, multiplies it by 8 and then adds 26. The result is 138. What is the number?
  26. 26.Solve: 3(n + 3) = 24. What is n?
  27. 27.Zoya thinks of a number, multiplies it by 8 and then adds 2. The result is 66. What is the number?
  28. 28.Solve: 7m − 11 = 52. What is m?
  29. 29.Solve: 2m − 1 = 1. What is m?
  30. 30.Zoya’s mother is three times as old as Zoya. Their ages add up to 40 years. How old is Zoya?
  31. 31.Solve: 5x + 3 = 73. What is x?
  32. 32.Arjun is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  33. 33.Solve: n/5 + 19 = 34. What is n?
  34. 34.Solve: t/9 + 2 = 10. What is t?
  35. 35.Karan thinks of a number, multiplies it by 9 and then adds 8. The result is 26. What is the number?
  36. 36.Solve: 4n − 54 = 2. What is n?
  37. 37.Solve: n/9 + 14 = 25. What is n?
  38. 38.Sneha thinks of a number, multiplies it by 9 and then adds 8. The result is 71. What is the number?
  39. 39.Arjun thinks of a number, multiplies it by 3 and then adds 26. The result is 32. What is the number?
  40. 40.Solve: m/8 + 18 = 24. What is m?

Answer key

  1. 66
  2. 15
  3. 9
  4. 11
  5. 2
  6. 15
  7. 13
  8. 1
  9. 1
  10. 2
  11. 6
  12. 1
  13. 45
  14. 14
  15. 13
  16. 1
  17. 30
  18. 15
  19. 11
  20. 9
  21. 1
  22. 11
  23. 12
  24. 14
  25. 14
  26. 5
  27. 8
  28. 9
  29. 1
  30. 10
  31. 14
  32. 7
  33. 75
  34. 72
  35. 2
  36. 14
  37. 99
  38. 7
  39. 2
  40. 48

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