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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 681 · 40 sums
TalentJR

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.Aarav is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  2. 2.Dev’s mother is three times as old as Dev. Their ages add up to 56 years. How old is Dev?
  3. 3.Riya thinks of a number, multiplies it by 8 and then adds 14. The result is 110. What is the number?
  4. 4.Sneha thinks of a number, multiplies it by 3 and then adds 8. The result is 32. What is the number?
  5. 5.Solve: 5t − 14 = 1. What is t?
  6. 6.Ishaan is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  7. 7.Solve: 3p + 21 = 63. What is p?
  8. 8.Solve: 5(p + 8) = 95. What is p?
  9. 9.Solve: 9(p + 1) = 135. What is p?
  10. 10.Kabir is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  11. 11.Solve: 2y − 14 = 4. What is y?
  12. 12.Solve: n/6 + 5 = 10. What is n?
  13. 13.Solve: 7(y + 2) = 91. What is y?
  14. 14.Karan is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  15. 15.Rohan thinks of a number, multiplies it by 8 and then adds 5. The result is 85. What is the number?
  16. 16.Solve: 4x + 7 = 23. What is x?
  17. 17.Solve: m/6 + 4 = 18. What is m?
  18. 18.Solve: x/4 + 11 = 24. What is x?
  19. 19.Solve: 3y − 24 = 6. What is y?
  20. 20.Solve: 8p − 3 = 5. What is p?
  21. 21.Solve: 6n − 11 = 67. What is n?
  22. 22.Arjun thinks of a number, multiplies it by 2 and then adds 26. The result is 48. What is the number?
  23. 23.Solve: 3t − 14 = 7. What is t?
  24. 24.Solve: 2t − 16 = 6. What is t?
  25. 25.Joseph’s mother is four times as old as Joseph. Their ages add up to 25 years. How old is Joseph?
  26. 26.Solve: 9(y + 7) = 72. What is y?
  27. 27.Solve: 5x + 4 = 79. What is x?
  28. 28.Solve: 9p + 1 = 100. What is p?
  29. 29.Kabir thinks of a number, multiplies it by 8 and then adds 24. The result is 112. What is the number?
  30. 30.Sneha thinks of a number, multiplies it by 5 and then adds 26. The result is 31. What is the number?
  31. 31.Solve: 5p − 45 = 10. What is p?
  32. 32.Solve: 6p + 30 = 90. What is p?
  33. 33.Solve: y/8 + 1 = 14. What is y?
  34. 34.Solve: 8(t + 1) = 64. What is t?
  35. 35.Rahul thinks of a number, multiplies it by 9 and then adds 8. The result is 134. What is the number?
  36. 36.Solve: 4m + 17 = 41. What is m?
  37. 37.Solve: m/2 + 7 = 18. What is m?
  38. 38.Solve: 9y + 5 = 23. What is y?
  39. 39.Kabir thinks of a number, multiplies it by 9 and then adds 1. The result is 127. What is the number?
  40. 40.Saanvi is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?

Answer key

  1. 13
  2. 14
  3. 12
  4. 8
  5. 3
  6. 6
  7. 14
  8. 11
  9. 14
  10. 11
  11. 9
  12. 30
  13. 11
  14. 14
  15. 10
  16. 4
  17. 84
  18. 52
  19. 10
  20. 1
  21. 13
  22. 11
  23. 7
  24. 11
  25. 5
  26. 1
  27. 15
  28. 11
  29. 11
  30. 1
  31. 11
  32. 10
  33. 104
  34. 7
  35. 14
  36. 6
  37. 22
  38. 2
  39. 14
  40. 10

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