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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 178 · 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: 8(m + 9) = 144. What is m?
  2. 2.Solve: 7m + 25 = 130. What is m?
  3. 3.Solve: 4(x + 4) = 20. What is x?
  4. 4.Solve: n/6 + 4 = 12. What is n?
  5. 5.Solve: 7(p + 9) = 98. What is p?
  6. 6.Solve: 5(t + 9) = 75. What is t?
  7. 7.Solve: 6t + 1 = 25. What is t?
  8. 8.Solve: 8(x + 3) = 72. What is x?
  9. 9.Solve: 2m − 2 = 28. What is m?
  10. 10.Solve: n/7 + 18 = 26. What is n?
  11. 11.Solve: 7m − 29 = 55. What is m?
  12. 12.Solve: 9p − 2 = 61. What is p?
  13. 13.Solve: x/5 + 16 = 26. What is x?
  14. 14.Solve: 4y + 17 = 29. What is y?
  15. 15.Solve: 4y + 4 = 12. What is y?
  16. 16.Solve: 3x − 6 = 12. What is x?
  17. 17.Joseph thinks of a number, multiplies it by 2 and then adds 11. The result is 27. What is the number?
  18. 18.Ishaan thinks of a number, multiplies it by 2 and then adds 6. The result is 32. What is the number?
  19. 19.Solve: 9y − 11 = 34. What is y?
  20. 20.Solve: 5(x + 8) = 70. What is x?
  21. 21.Solve: 5y − 9 = 41. What is y?
  22. 22.Karan thinks of a number, multiplies it by 3 and then adds 11. The result is 38. What is the number?
  23. 23.Solve: 4(x + 8) = 72. What is x?
  24. 24.Solve: 5(t + 5) = 50. What is t?
  25. 25.Solve: 9(x + 5) = 81. What is x?
  26. 26.Solve: 8m − 7 = 17. What is m?
  27. 27.Solve: 4m − 3 = 9. What is m?
  28. 28.Solve: p/4 + 15 = 26. What is p?
  29. 29.Solve: 7m − 48 = 50. What is m?
  30. 30.Solve: 2y − 7 = 1. What is y?
  31. 31.Ishaan thinks of a number, multiplies it by 8 and then adds 7. The result is 87. What is the number?
  32. 32.Solve: 6(m + 9) = 144. What is m?
  33. 33.Solve: 6(m + 7) = 132. What is m?
  34. 34.Solve: t/5 + 20 = 22. What is t?
  35. 35.Solve: 3n − 1 = 26. What is n?
  36. 36.Solve: 2(y + 2) = 18. What is y?
  37. 37.Solve: 6(x + 2) = 42. What is x?
  38. 38.Solve: 5n − 8 = 22. What is n?
  39. 39.Solve: 5y + 17 = 82. What is y?
  40. 40.Tara is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?

Answer key

  1. 9
  2. 15
  3. 1
  4. 48
  5. 5
  6. 6
  7. 4
  8. 6
  9. 15
  10. 56
  11. 12
  12. 7
  13. 50
  14. 3
  15. 2
  16. 6
  17. 8
  18. 13
  19. 5
  20. 6
  21. 10
  22. 9
  23. 10
  24. 5
  25. 4
  26. 3
  27. 3
  28. 44
  29. 14
  30. 4
  31. 10
  32. 15
  33. 15
  34. 10
  35. 9
  36. 7
  37. 5
  38. 6
  39. 13
  40. 4

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