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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 731 · 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.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 24 years. How old is Gurpreet?
  2. 2.Solve: 6(p + 7) = 72. What is p?
  3. 3.Pooja thinks of a number, multiplies it by 3 and then adds 27. The result is 51. What is the number?
  4. 4.Solve: 4(m + 6) = 76. What is m?
  5. 5.Solve: 7(n + 5) = 112. What is n?
  6. 6.Solve: n/5 + 7 = 8. What is n?
  7. 7.Solve: x/6 + 4 = 10. What is x?
  8. 8.Solve: 5x − 3 = 7. What is x?
  9. 9.Solve: 9p − 27 = 18. What is p?
  10. 10.Solve: 9m + 3 = 93. What is m?
  11. 11.Solve: 7m − 5 = 23. What is m?
  12. 12.Solve: 3y + 12 = 36. What is y?
  13. 13.Solve: 4y + 14 = 26. What is y?
  14. 14.Zoya’s mother is four times as old as Zoya. Their ages add up to 55 years. How old is Zoya?
  15. 15.Solve: 2m + 24 = 52. What is m?
  16. 16.Solve: 9y + 10 = 82. What is y?
  17. 17.Solve: 9y + 14 = 23. What is y?
  18. 18.Riya thinks of a number, multiplies it by 6 and then adds 22. The result is 40. What is the number?
  19. 19.Solve: 9p + 30 = 138. What is p?
  20. 20.Solve: 8(m + 6) = 144. What is m?
  21. 21.Solve: 5x − 14 = 31. What is x?
  22. 22.Solve: 8x − 2 = 14. What is x?
  23. 23.Tara’s mother is four times as old as Tara. Their ages add up to 40 years. How old is Tara?
  24. 24.Solve: 3(t + 1) = 9. What is t?
  25. 25.Solve: t/3 + 4 = 7. What is t?
  26. 26.Sneha is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  27. 27.Priya thinks of a number, multiplies it by 9 and then adds 30. The result is 66. What is the number?
  28. 28.Solve: m/9 + 5 = 13. What is m?
  29. 29.Solve: 5(y + 1) = 50. What is y?
  30. 30.Solve: y/5 + 1 = 4. What is y?
  31. 31.Solve: 9m − 23 = 94. What is m?
  32. 32.Solve: 4m + 27 = 51. What is m?
  33. 33.Solve: t/4 + 11 = 26. What is t?
  34. 34.Solve: 8p − 39 = 17. What is p?
  35. 35.Isha is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  36. 36.Zoya thinks of a number, multiplies it by 7 and then adds 28. The result is 56. What is the number?
  37. 37.Solve: x/7 + 4 = 16. What is x?
  38. 38.Solve: 6x − 6 = 18. What is x?
  39. 39.Solve: 7t + 22 = 29. What is t?
  40. 40.Riya is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?

Answer key

  1. 8
  2. 5
  3. 8
  4. 13
  5. 11
  6. 5
  7. 36
  8. 2
  9. 5
  10. 10
  11. 4
  12. 8
  13. 3
  14. 11
  15. 14
  16. 8
  17. 1
  18. 3
  19. 12
  20. 12
  21. 9
  22. 2
  23. 8
  24. 2
  25. 9
  26. 12
  27. 4
  28. 72
  29. 9
  30. 15
  31. 13
  32. 6
  33. 60
  34. 7
  35. 6
  36. 4
  37. 84
  38. 4
  39. 1
  40. 10

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