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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 319 · 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: 4(y + 4) = 32. What is y?
  2. 2.Solve: 5(p + 7) = 40. What is p?
  3. 3.Solve: n/6 + 10 = 21. What is n?
  4. 4.Solve: 3n + 4 = 10. What is n?
  5. 5.Solve: 6n + 24 = 66. What is n?
  6. 6.Solve: 9m + 9 = 18. What is m?
  7. 7.Solve: 2t − 5 = 17. What is t?
  8. 8.Rohan thinks of a number, multiplies it by 9 and then adds 16. The result is 79. What is the number?
  9. 9.Solve: 3(y + 4) = 33. What is y?
  10. 10.Solve: 9t + 1 = 127. What is t?
  11. 11.Solve: 7p − 20 = 36. What is p?
  12. 12.Rohan is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  13. 13.Solve: 4x + 24 = 28. What is x?
  14. 14.Diya thinks of a number, multiplies it by 4 and then adds 1. The result is 53. What is the number?
  15. 15.Pooja thinks of a number, multiplies it by 9 and then adds 13. The result is 121. What is the number?
  16. 16.Tara thinks of a number, multiplies it by 4 and then adds 5. The result is 65. What is the number?
  17. 17.Solve: 7(n + 1) = 98. What is n?
  18. 18.Solve: 4x + 28 = 76. What is x?
  19. 19.Solve: 4p + 18 = 70. What is p?
  20. 20.Priya’s mother is twice as old as Priya. Their ages add up to 15 years. How old is Priya?
  21. 21.Solve: 9n − 3 = 24. What is n?
  22. 22.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 45 years. How old is Ishaan?
  23. 23.Solve: y/2 + 13 = 25. What is y?
  24. 24.Solve: m/3 + 13 = 14. What is m?
  25. 25.Solve: 8(x + 3) = 112. What is x?
  26. 26.Priya’s mother is three times as old as Priya. Their ages add up to 28 years. How old is Priya?
  27. 27.Kabir is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  28. 28.Ananya is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  29. 29.Solve: x/9 + 7 = 10. What is x?
  30. 30.Solve: p/9 + 18 = 30. What is p?
  31. 31.Solve: m/6 + 9 = 23. What is m?
  32. 32.Saanvi is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  33. 33.Solve: 5y + 5 = 40. What is y?
  34. 34.Rohan thinks of a number, multiplies it by 4 and then adds 30. The result is 66. What is the number?
  35. 35.Solve: 9(x + 3) = 90. What is x?
  36. 36.Zoya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  37. 37.Solve: 9(m + 4) = 153. What is m?
  38. 38.Solve: x/6 + 7 = 13. What is x?
  39. 39.Solve: 7(m + 4) = 98. What is m?
  40. 40.Solve: 2y − 2 = 16. What is y?

Answer key

  1. 4
  2. 1
  3. 66
  4. 2
  5. 7
  6. 1
  7. 11
  8. 7
  9. 7
  10. 14
  11. 8
  12. 4
  13. 1
  14. 13
  15. 12
  16. 15
  17. 13
  18. 12
  19. 13
  20. 5
  21. 3
  22. 15
  23. 24
  24. 3
  25. 11
  26. 7
  27. 12
  28. 11
  29. 27
  30. 108
  31. 84
  32. 10
  33. 7
  34. 9
  35. 7
  36. 6
  37. 13
  38. 36
  39. 10
  40. 9

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