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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 343 · 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: 3(m + 9) = 45. What is m?
  2. 2.Solve: 4x − 3 = 5. What is x?
  3. 3.Solve: 6n + 27 = 39. What is n?
  4. 4.Pooja is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  5. 5.Solve: 3(n + 8) = 33. What is n?
  6. 6.Tara is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  7. 7.Solve: y/3 + 4 = 10. What is y?
  8. 8.Solve: 2y − 8 = 8. What is y?
  9. 9.Solve: 8m + 19 = 43. What is m?
  10. 10.Saanvi is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  11. 11.Solve: y/5 + 7 = 8. What is y?
  12. 12.Farhan thinks of a number, multiplies it by 4 and then adds 19. The result is 75. What is the number?
  13. 13.Farhan is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  14. 14.Solve: 6n + 26 = 98. What is n?
  15. 15.Solve: 9p − 6 = 30. What is p?
  16. 16.Solve: 4(n + 2) = 20. What is n?
  17. 17.Solve: 5(x + 9) = 110. What is x?
  18. 18.Solve: 2n + 13 = 39. What is n?
  19. 19.Diya’s mother is twice as old as Diya. Their ages add up to 42 years. How old is Diya?
  20. 20.Solve: 7n − 59 = 11. What is n?
  21. 21.Solve: 2t − 2 = 24. What is t?
  22. 22.Solve: 2p − 12 = 4. What is p?
  23. 23.Solve: m/8 + 4 = 5. What is m?
  24. 24.Solve: m/2 + 3 = 4. What is m?
  25. 25.Kabir is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  26. 26.Solve: 9p − 12 = 6. What is p?
  27. 27.Solve: 2(y + 7) = 18. What is y?
  28. 28.Isha thinks of a number, multiplies it by 6 and then adds 30. The result is 78. What is the number?
  29. 29.Solve: m/9 + 1 = 8. What is m?
  30. 30.Solve: 5m + 26 = 81. What is m?
  31. 31.Solve: p/4 + 1 = 2. What is p?
  32. 32.Solve: 3(x + 5) = 45. What is x?
  33. 33.Solve: 7(y + 1) = 28. What is y?
  34. 34.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 52 years. How old is Saanvi?
  35. 35.Solve: 4p − 17 = 27. What is p?
  36. 36.Solve: 2n + 2 = 8. What is n?
  37. 37.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 30 years. How old is Gurpreet?
  38. 38.Solve: 8t − 12 = 44. What is t?
  39. 39.Saanvi thinks of a number, multiplies it by 6 and then adds 13. The result is 19. What is the number?
  40. 40.Solve: 9x − 4 = 23. What is x?

Answer key

  1. 6
  2. 2
  3. 2
  4. 6
  5. 3
  6. 6
  7. 18
  8. 8
  9. 3
  10. 14
  11. 5
  12. 14
  13. 8
  14. 12
  15. 4
  16. 3
  17. 13
  18. 13
  19. 14
  20. 10
  21. 13
  22. 8
  23. 8
  24. 2
  25. 8
  26. 2
  27. 2
  28. 8
  29. 63
  30. 11
  31. 4
  32. 10
  33. 3
  34. 13
  35. 11
  36. 3
  37. 10
  38. 7
  39. 1
  40. 3

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