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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 263 · 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: n/3 + 12 = 25. What is n?
  2. 2.Solve: 3x − 12 = 12. What is x?
  3. 3.Kabir thinks of a number, multiplies it by 2 and then adds 13. The result is 15. What is the number?
  4. 4.Sneha thinks of a number, multiplies it by 9 and then adds 28. The result is 73. What is the number?
  5. 5.Solve: 4m − 6 = 2. What is m?
  6. 6.Solve: 5y + 18 = 58. What is y?
  7. 7.Solve: 6t − 30 = 30. What is t?
  8. 8.Solve: 8m + 25 = 113. What is m?
  9. 9.Solve: p/9 + 5 = 13. What is p?
  10. 10.Solve: 5n − 51 = 24. What is n?
  11. 11.Solve: 4(p + 6) = 60. What is p?
  12. 12.Solve: 4(t + 3) = 36. What is t?
  13. 13.Solve: 7(t + 4) = 56. What is t?
  14. 14.Solve: t/2 + 12 = 22. What is t?
  15. 15.Solve: 6(m + 2) = 78. What is m?
  16. 16.Solve: t/2 + 1 = 15. What is t?
  17. 17.Solve: 3y − 2 = 1. What is y?
  18. 18.Solve: y/9 + 5 = 12. What is y?
  19. 19.Isha is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  20. 20.Saanvi is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  21. 21.Solve: 8y + 28 = 76. What is y?
  22. 22.Solve: 9(m + 3) = 144. What is m?
  23. 23.Solve: 3t + 18 = 27. What is t?
  24. 24.Karan thinks of a number, multiplies it by 2 and then adds 20. The result is 48. What is the number?
  25. 25.Solve: 7(t + 1) = 112. What is t?
  26. 26.Gurpreet is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  27. 27.Solve: 2t + 27 = 35. What is t?
  28. 28.Solve: p/3 + 14 = 15. What is p?
  29. 29.Solve: 7x − 19 = 2. What is x?
  30. 30.Tara thinks of a number, multiplies it by 4 and then adds 17. The result is 65. What is the number?
  31. 31.Dev thinks of a number, multiplies it by 9 and then adds 24. The result is 33. What is the number?
  32. 32.Solve: 2x + 7 = 21. What is x?
  33. 33.Solve: 2(p + 6) = 42. What is p?
  34. 34.Solve: n/8 + 17 = 27. What is n?
  35. 35.Solve: 7x − 61 = 23. What is x?
  36. 36.Nisha thinks of a number, multiplies it by 4 and then adds 14. The result is 42. What is the number?
  37. 37.Solve: n/8 + 2 = 17. What is n?
  38. 38.Riya thinks of a number, multiplies it by 4 and then adds 26. The result is 82. What is the number?
  39. 39.Solve: 2n + 23 = 31. What is n?
  40. 40.Solve: 2(m + 3) = 18. What is m?

Answer key

  1. 39
  2. 8
  3. 1
  4. 5
  5. 2
  6. 8
  7. 10
  8. 11
  9. 72
  10. 15
  11. 9
  12. 6
  13. 4
  14. 20
  15. 11
  16. 28
  17. 1
  18. 63
  19. 11
  20. 5
  21. 6
  22. 13
  23. 3
  24. 14
  25. 15
  26. 14
  27. 4
  28. 3
  29. 3
  30. 12
  31. 1
  32. 7
  33. 15
  34. 80
  35. 12
  36. 7
  37. 120
  38. 14
  39. 4
  40. 6

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