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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 257 · 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.Solve: 8m + 16 = 104. What is m?
  2. 2.Dev thinks of a number, multiplies it by 7 and then adds 5. The result is 75. What is the number?
  3. 3.Solve: 8x + 12 = 36. What is x?
  4. 4.Solve: 2y + 7 = 21. What is y?
  5. 5.Solve: 2t − 6 = 8. What is t?
  6. 6.Manav thinks of a number, multiplies it by 7 and then adds 18. The result is 67. What is the number?
  7. 7.Solve: 6x − 36 = 12. What is x?
  8. 8.Solve: 9p − 4 = 59. What is p?
  9. 9.Solve: 4m + 11 = 19. What is m?
  10. 10.Solve: 8y − 4 = 20. What is y?
  11. 11.Solve: 2t − 17 = 1. What is t?
  12. 12.Kavya thinks of a number, multiplies it by 3 and then adds 14. The result is 44. What is the number?
  13. 13.Solve: 2(p + 1) = 28. What is p?
  14. 14.Solve: 8n − 5 = 3. What is n?
  15. 15.Tara’s mother is twice as old as Tara. Their ages add up to 45 years. How old is Tara?
  16. 16.Dev’s mother is twice as old as Dev. Their ages add up to 36 years. How old is Dev?
  17. 17.Rahul is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  18. 18.Solve: x/2 + 18 = 26. What is x?
  19. 19.Solve: 8t + 5 = 109. What is t?
  20. 20.Kavya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  21. 21.Solve: 5m − 35 = 20. What is m?
  22. 22.Solve: 2y − 20 = 10. What is y?
  23. 23.Solve: n/6 + 3 = 8. What is n?
  24. 24.Solve: 8t − 44 = 28. What is t?
  25. 25.Solve: m/6 + 10 = 20. What is m?
  26. 26.Aditya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  27. 27.Solve: 8(t + 5) = 112. What is t?
  28. 28.Solve: 4(x + 2) = 12. What is x?
  29. 29.Farhan is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  30. 30.Solve: 3p + 28 = 73. What is p?
  31. 31.Solve: 9t + 26 = 161. What is t?
  32. 32.Farhan is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  33. 33.Solve: 6(m + 3) = 72. What is m?
  34. 34.Solve: t/3 + 17 = 21. What is t?
  35. 35.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 20 years. How old is Ishaan?
  36. 36.Solve: 3n − 1 = 2. What is n?
  37. 37.Solve: 4(p + 2) = 44. What is p?
  38. 38.Sneha thinks of a number, multiplies it by 6 and then adds 29. The result is 77. What is the number?
  39. 39.Solve: 4n + 15 = 75. What is n?
  40. 40.Solve: 8(m + 7) = 72. What is m?

Answer key

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

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