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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 803 · 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: 2(m + 5) = 24. What is m?
  2. 2.Solve: x/3 + 20 = 22. What is x?
  3. 3.Solve: 6t + 28 = 112. What is t?
  4. 4.Solve: 8m − 82 = 30. What is m?
  5. 5.Manav is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  6. 6.Solve: 3(x + 5) = 27. What is x?
  7. 7.Solve: 5m + 12 = 52. What is m?
  8. 8.Solve: n/2 + 3 = 6. What is n?
  9. 9.Solve: 4p − 3 = 5. What is p?
  10. 10.Solve: 5t + 18 = 83. What is t?
  11. 11.Solve: 9n + 16 = 133. What is n?
  12. 12.Solve: 2x + 23 = 33. What is x?
  13. 13.Solve: 9t + 27 = 135. What is t?
  14. 14.Solve: 2x − 3 = 1. What is x?
  15. 15.Solve: 2y − 19 = 5. What is y?
  16. 16.Priya thinks of a number, multiplies it by 3 and then adds 13. The result is 31. What is the number?
  17. 17.Solve: 2(m + 4) = 14. What is m?
  18. 18.Solve: 8t − 18 = 30. What is t?
  19. 19.Solve: t/8 + 7 = 8. What is t?
  20. 20.Rohan is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  21. 21.Joseph thinks of a number, multiplies it by 5 and then adds 16. The result is 21. What is the number?
  22. 22.Solve: 4p + 9 = 21. What is p?
  23. 23.Zoya is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  24. 24.Solve: y/9 + 4 = 16. What is y?
  25. 25.Solve: 6y + 16 = 76. What is y?
  26. 26.Solve: 5t − 38 = 22. What is t?
  27. 27.Solve: 2(y + 7) = 38. What is y?
  28. 28.Solve: m/2 + 11 = 15. What is m?
  29. 29.Diya thinks of a number, multiplies it by 6 and then adds 9. The result is 15. What is the number?
  30. 30.Solve: 4(m + 1) = 64. What is m?
  31. 31.Solve: 3p − 3 = 42. What is p?
  32. 32.Solve: m/7 + 4 = 18. What is m?
  33. 33.Kabir is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  34. 34.Isha thinks of a number, multiplies it by 5 and then adds 6. The result is 16. What is the number?
  35. 35.Solve: 4(x + 3) = 64. What is x?
  36. 36.Farhan thinks of a number, multiplies it by 2 and then adds 22. The result is 34. What is the number?
  37. 37.Joseph thinks of a number, multiplies it by 9 and then adds 7. The result is 88. What is the number?
  38. 38.Solve: x/7 + 19 = 32. What is x?
  39. 39.Solve: 6(m + 5) = 78. What is m?
  40. 40.Solve: 5(y + 6) = 105. What is y?

Answer key

  1. 7
  2. 6
  3. 14
  4. 14
  5. 8
  6. 4
  7. 8
  8. 6
  9. 2
  10. 13
  11. 13
  12. 5
  13. 12
  14. 2
  15. 12
  16. 6
  17. 3
  18. 6
  19. 8
  20. 13
  21. 1
  22. 3
  23. 13
  24. 108
  25. 10
  26. 12
  27. 12
  28. 8
  29. 1
  30. 15
  31. 15
  32. 98
  33. 13
  34. 2
  35. 13
  36. 6
  37. 9
  38. 91
  39. 8
  40. 15

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