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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 378 · 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.Farhan is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  2. 2.Solve: x/6 + 9 = 19. What is x?
  3. 3.Solve: 9(y + 9) = 189. What is y?
  4. 4.Solve: 4m − 11 = 13. What is m?
  5. 5.Solve: m/4 + 2 = 10. What is m?
  6. 6.Vivaan thinks of a number, multiplies it by 5 and then adds 4. The result is 34. What is the number?
  7. 7.Meera thinks of a number, multiplies it by 5 and then adds 5. The result is 20. What is the number?
  8. 8.Solve: 4y − 26 = 22. What is y?
  9. 9.Kavya thinks of a number, multiplies it by 7 and then adds 16. The result is 121. What is the number?
  10. 10.Zoya thinks of a number, multiplies it by 6 and then adds 1. The result is 25. What is the number?
  11. 11.Solve: 3(m + 9) = 69. What is m?
  12. 12.Solve: 6y − 12 = 6. What is y?
  13. 13.Solve: p/8 + 15 = 21. What is p?
  14. 14.Solve: 7p − 28 = 7. What is p?
  15. 15.Solve: 4x + 23 = 35. What is x?
  16. 16.Tara thinks of a number, multiplies it by 2 and then adds 19. The result is 25. What is the number?
  17. 17.Meera is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  18. 18.Nisha’s mother is four times as old as Nisha. Their ages add up to 35 years. How old is Nisha?
  19. 19.Solve: 6m − 10 = 8. What is m?
  20. 20.Solve: 6p + 17 = 29. What is p?
  21. 21.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 30 years. How old is Vivaan?
  22. 22.Joseph’s mother is twice as old as Joseph. Their ages add up to 12 years. How old is Joseph?
  23. 23.Solve: 2y − 5 = 7. What is y?
  24. 24.Arjun is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  25. 25.Solve: n/6 + 6 = 7. What is n?
  26. 26.Zoya thinks of a number, multiplies it by 4 and then adds 8. The result is 12. What is the number?
  27. 27.Solve: 3(n + 6) = 30. What is n?
  28. 28.Solve: x/3 + 1 = 15. What is x?
  29. 29.Solve: 6x + 16 = 28. What is x?
  30. 30.Pooja is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  31. 31.Solve: 7n + 24 = 45. What is n?
  32. 32.Solve: 2(y + 2) = 20. What is y?
  33. 33.Solve: 8(t + 8) = 80. What is t?
  34. 34.Solve: 7m + 14 = 70. What is m?
  35. 35.Solve: 3y − 1 = 2. What is y?
  36. 36.Riya is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  37. 37.Solve: 8(n + 4) = 104. What is n?
  38. 38.Farhan thinks of a number, multiplies it by 8 and then adds 24. The result is 56. What is the number?
  39. 39.Solve: m/3 + 2 = 14. What is m?
  40. 40.Solve: 8x − 42 = 54. What is x?

Answer key

  1. 7
  2. 60
  3. 12
  4. 6
  5. 32
  6. 6
  7. 3
  8. 12
  9. 15
  10. 4
  11. 14
  12. 3
  13. 48
  14. 5
  15. 3
  16. 3
  17. 8
  18. 7
  19. 3
  20. 2
  21. 10
  22. 4
  23. 6
  24. 15
  25. 6
  26. 1
  27. 4
  28. 42
  29. 2
  30. 6
  31. 3
  32. 8
  33. 2
  34. 8
  35. 1
  36. 14
  37. 9
  38. 4
  39. 36
  40. 12

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