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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 984 · 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: 6(x + 7) = 90. What is x?
  2. 2.Karan is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  3. 3.Solve: 4y − 45 = 7. What is y?
  4. 4.Solve: 8(n + 4) = 104. What is n?
  5. 5.Sneha is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  6. 6.Kavya thinks of a number, multiplies it by 7 and then adds 25. The result is 74. What is the number?
  7. 7.Ananya’s mother is three times as old as Ananya. Their ages add up to 40 years. How old is Ananya?
  8. 8.Solve: p/2 + 13 = 20. What is p?
  9. 9.Manav is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  10. 10.Solve: 3(x + 8) = 30. What is x?
  11. 11.Solve: x/3 + 6 = 14. What is x?
  12. 12.Solve: 3m − 13 = 2. What is m?
  13. 13.Solve: 3(m + 5) = 24. What is m?
  14. 14.Ishaan thinks of a number, multiplies it by 2 and then adds 2. The result is 20. What is the number?
  15. 15.Solve: 4(y + 5) = 40. What is y?
  16. 16.Tara is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  17. 17.Solve: 3(x + 7) = 42. What is x?
  18. 18.Aditya thinks of a number, multiplies it by 7 and then adds 14. The result is 112. What is the number?
  19. 19.Saanvi thinks of a number, multiplies it by 5 and then adds 29. The result is 84. What is the number?
  20. 20.Joseph thinks of a number, multiplies it by 3 and then adds 8. The result is 23. What is the number?
  21. 21.Nisha is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  22. 22.Solve: 9y − 7 = 38. What is y?
  23. 23.Solve: p/7 + 2 = 13. What is p?
  24. 24.Sneha thinks of a number, multiplies it by 9 and then adds 22. The result is 58. What is the number?
  25. 25.Solve: 5m − 44 = 6. What is m?
  26. 26.Farhan thinks of a number, multiplies it by 5 and then adds 21. The result is 91. What is the number?
  27. 27.Solve: 4(n + 1) = 8. What is n?
  28. 28.Solve: n/2 + 16 = 21. What is n?
  29. 29.Solve: 4x + 22 = 26. What is x?
  30. 30.Solve: 2(x + 7) = 24. What is x?
  31. 31.Solve: 8y + 6 = 126. What is y?
  32. 32.Lakshmi thinks of a number, multiplies it by 3 and then adds 23. The result is 35. What is the number?
  33. 33.Dev is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  34. 34.Solve: 7p + 29 = 85. What is p?
  35. 35.Solve: p/9 + 2 = 11. What is p?
  36. 36.Arjun’s mother is four times as old as Arjun. Their ages add up to 50 years. How old is Arjun?
  37. 37.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 70 years. How old is Vivaan?
  38. 38.Solve: 8t − 66 = 38. What is t?
  39. 39.Solve: 9(p + 5) = 135. What is p?
  40. 40.Lakshmi thinks of a number, multiplies it by 9 and then adds 12. The result is 48. What is the number?

Answer key

  1. 8
  2. 12
  3. 13
  4. 9
  5. 4
  6. 7
  7. 10
  8. 14
  9. 13
  10. 2
  11. 24
  12. 5
  13. 3
  14. 9
  15. 5
  16. 14
  17. 7
  18. 14
  19. 11
  20. 5
  21. 4
  22. 5
  23. 77
  24. 4
  25. 10
  26. 14
  27. 1
  28. 10
  29. 1
  30. 5
  31. 15
  32. 4
  33. 8
  34. 8
  35. 81
  36. 10
  37. 14
  38. 13
  39. 10
  40. 4

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