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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 8 · 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: 2(n + 8) = 36. What is n?
  2. 2.Solve: 4m − 2 = 2. What is m?
  3. 3.Solve: 2(m + 4) = 10. What is m?
  4. 4.Aarav thinks of a number, multiplies it by 8 and then adds 28. The result is 92. What is the number?
  5. 5.Solve: 2x − 4 = 4. What is x?
  6. 6.Lakshmi thinks of a number, multiplies it by 9 and then adds 10. The result is 127. What is the number?
  7. 7.Solve: 9(m + 2) = 63. What is m?
  8. 8.Zoya thinks of a number, multiplies it by 4 and then adds 16. The result is 36. What is the number?
  9. 9.Nisha’s mother is twice as old as Nisha. Their ages add up to 12 years. How old is Nisha?
  10. 10.Solve: n/3 + 13 = 16. What is n?
  11. 11.Solve: 6n − 3 = 21. What is n?
  12. 12.Solve: 4(y + 5) = 60. What is y?
  13. 13.Solve: x/2 + 1 = 14. What is x?
  14. 14.Solve: 4m + 9 = 61. What is m?
  15. 15.Solve: t/4 + 19 = 24. What is t?
  16. 16.Solve: 6n − 25 = 5. What is n?
  17. 17.Solve: 5t − 14 = 21. What is t?
  18. 18.Solve: t/4 + 17 = 24. What is t?
  19. 19.Solve: p/9 + 2 = 6. What is p?
  20. 20.Kabir is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  21. 21.Riya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  22. 22.Ishaan is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  23. 23.Solve: 7(p + 7) = 154. What is p?
  24. 24.Zoya’s mother is twice as old as Zoya. Their ages add up to 33 years. How old is Zoya?
  25. 25.Meera is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  26. 26.Solve: p/7 + 6 = 20. What is p?
  27. 27.Solve: 8y + 19 = 59. What is y?
  28. 28.Solve: 6x − 15 = 15. What is x?
  29. 29.Solve: 8t + 5 = 109. What is t?
  30. 30.Saanvi is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  31. 31.Solve: 9p − 26 = 10. What is p?
  32. 32.Solve: 9n + 25 = 106. What is n?
  33. 33.Solve: x/3 + 18 = 26. What is x?
  34. 34.Kavya is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  35. 35.Solve: m/2 + 4 = 9. What is m?
  36. 36.Solve: 7(x + 7) = 70. What is x?
  37. 37.Aarav’s mother is twice as old as Aarav. Their ages add up to 27 years. How old is Aarav?
  38. 38.Solve: 3x − 1 = 2. What is x?
  39. 39.Solve: 8y − 64 = 24. What is y?
  40. 40.Solve: x/3 + 4 = 18. What is x?

Answer key

  1. 10
  2. 1
  3. 1
  4. 8
  5. 4
  6. 13
  7. 5
  8. 5
  9. 4
  10. 9
  11. 4
  12. 10
  13. 26
  14. 13
  15. 20
  16. 5
  17. 7
  18. 28
  19. 36
  20. 7
  21. 12
  22. 6
  23. 15
  24. 11
  25. 5
  26. 98
  27. 5
  28. 5
  29. 13
  30. 4
  31. 4
  32. 9
  33. 24
  34. 15
  35. 10
  36. 3
  37. 9
  38. 1
  39. 11
  40. 42

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