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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 898 · 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: 4m + 16 = 76. What is m?
  2. 2.Solve: 3p + 12 = 45. What is p?
  3. 3.Solve: 9(p + 7) = 126. What is p?
  4. 4.Solve: y/6 + 16 = 20. What is y?
  5. 5.Solve: t/7 + 6 = 14. What is t?
  6. 6.Meera is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  7. 7.Solve: 2(x + 2) = 20. What is x?
  8. 8.Solve: 9(p + 3) = 72. What is p?
  9. 9.Solve: 7p + 12 = 110. What is p?
  10. 10.Solve: 7p − 4 = 17. What is p?
  11. 11.Sneha thinks of a number, multiplies it by 8 and then adds 2. The result is 58. What is the number?
  12. 12.Solve: 5(p + 1) = 10. What is p?
  13. 13.Solve: 7y − 3 = 4. What is y?
  14. 14.Solve: 2t + 20 = 48. What is t?
  15. 15.Solve: 8t + 1 = 89. What is t?
  16. 16.Solve: 8(y + 4) = 120. What is y?
  17. 17.Solve: 4(t + 1) = 36. What is t?
  18. 18.Solve: 8n − 56 = 64. What is n?
  19. 19.Joseph thinks of a number, multiplies it by 3 and then adds 19. The result is 52. What is the number?
  20. 20.Solve: 8t + 17 = 81. What is t?
  21. 21.Solve: 2m + 16 = 46. What is m?
  22. 22.Solve: 2y + 30 = 40. What is y?
  23. 23.Solve: 7(y + 5) = 98. What is y?
  24. 24.Solve: p/3 + 15 = 17. What is p?
  25. 25.Arjun is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  26. 26.Tara is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  27. 27.Solve: 3p + 8 = 17. What is p?
  28. 28.Solve: 9y − 40 = 50. What is y?
  29. 29.Solve: 5(x + 6) = 40. What is x?
  30. 30.Solve: 6m + 1 = 25. What is m?
  31. 31.Solve: p/9 + 8 = 19. What is p?
  32. 32.Tara is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  33. 33.Solve: m/4 + 8 = 15. What is m?
  34. 34.Solve: 4t − 13 = 19. What is t?
  35. 35.Solve: 9y + 1 = 91. What is y?
  36. 36.Solve: 2(n + 1) = 22. What is n?
  37. 37.Solve: 4m + 21 = 53. What is m?
  38. 38.Solve: 6p + 2 = 44. What is p?
  39. 39.Solve: 6m − 68 = 16. What is m?
  40. 40.Solve: 2(t + 3) = 18. What is t?

Answer key

  1. 15
  2. 11
  3. 7
  4. 24
  5. 56
  6. 5
  7. 8
  8. 5
  9. 14
  10. 3
  11. 7
  12. 1
  13. 1
  14. 14
  15. 11
  16. 11
  17. 8
  18. 15
  19. 11
  20. 8
  21. 15
  22. 5
  23. 9
  24. 6
  25. 5
  26. 8
  27. 3
  28. 10
  29. 2
  30. 4
  31. 99
  32. 13
  33. 28
  34. 8
  35. 10
  36. 10
  37. 8
  38. 7
  39. 14
  40. 6

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