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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 283 · 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: 3x + 30 = 57. What is x?
  2. 2.Aarav thinks of a number, multiplies it by 3 and then adds 22. The result is 43. What is the number?
  3. 3.Solve: 6t − 13 = 11. What is t?
  4. 4.Solve: 9t + 21 = 93. What is t?
  5. 5.Solve: 4t − 7 = 1. What is t?
  6. 6.Solve: 8(x + 3) = 136. What is x?
  7. 7.Solve: x/9 + 11 = 14. What is x?
  8. 8.Solve: t/9 + 17 = 31. What is t?
  9. 9.Solve: 5t + 25 = 35. What is t?
  10. 10.Solve: 4x − 10 = 2. What is x?
  11. 11.Solve: 2y − 18 = 4. What is y?
  12. 12.Dev is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  13. 13.Solve: 8x − 38 = 34. What is x?
  14. 14.Solve: m/3 + 4 = 11. What is m?
  15. 15.Solve: 5y − 4 = 11. What is y?
  16. 16.Isha thinks of a number, multiplies it by 3 and then adds 20. The result is 53. What is the number?
  17. 17.Solve: y/2 + 14 = 15. What is y?
  18. 18.Solve: 3(x + 3) = 24. What is x?
  19. 19.Solve: 8m − 102 = 18. What is m?
  20. 20.Solve: 6p − 51 = 33. What is p?
  21. 21.Rahul thinks of a number, multiplies it by 2 and then adds 21. The result is 27. What is the number?
  22. 22.Isha is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  23. 23.Aarav is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  24. 24.Solve: 9m + 14 = 113. What is m?
  25. 25.Solve: 5(t + 4) = 85. What is t?
  26. 26.Gurpreet thinks of a number, multiplies it by 7 and then adds 28. The result is 56. What is the number?
  27. 27.Solve: 5m + 18 = 48. What is m?
  28. 28.Solve: 7m + 14 = 49. What is m?
  29. 29.Aditya thinks of a number, multiplies it by 2 and then adds 5. The result is 9. What is the number?
  30. 30.Riya thinks of a number, multiplies it by 7 and then adds 16. The result is 121. What is the number?
  31. 31.Solve: 8(m + 2) = 120. What is m?
  32. 32.Solve: m/2 + 9 = 21. What is m?
  33. 33.Solve: 7t + 3 = 80. What is t?
  34. 34.Solve: 9t − 67 = 23. What is t?
  35. 35.Solve: 9y + 12 = 84. What is y?
  36. 36.Solve: 8x + 27 = 107. What is x?
  37. 37.Solve: 7x − 54 = 16. What is x?
  38. 38.Solve: 9t − 17 = 28. What is t?
  39. 39.Solve: 8(t + 2) = 40. What is t?
  40. 40.Solve: y/8 + 20 = 24. What is y?

Answer key

  1. 9
  2. 7
  3. 4
  4. 8
  5. 2
  6. 14
  7. 27
  8. 126
  9. 2
  10. 3
  11. 11
  12. 11
  13. 9
  14. 21
  15. 3
  16. 11
  17. 2
  18. 5
  19. 15
  20. 14
  21. 3
  22. 12
  23. 10
  24. 11
  25. 13
  26. 4
  27. 6
  28. 5
  29. 2
  30. 15
  31. 13
  32. 24
  33. 11
  34. 10
  35. 8
  36. 10
  37. 10
  38. 5
  39. 3
  40. 32

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