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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 167 · 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.Isha thinks of a number, multiplies it by 6 and then adds 19. The result is 67. What is the number?
  2. 2.Kabir thinks of a number, multiplies it by 3 and then adds 19. The result is 43. What is the number?
  3. 3.Priya thinks of a number, multiplies it by 9 and then adds 4. The result is 22. What is the number?
  4. 4.Solve: 6x + 26 = 86. What is x?
  5. 5.Solve: 7y − 23 = 33. What is y?
  6. 6.Solve: 4(t + 3) = 20. What is t?
  7. 7.Solve: 8n + 1 = 113. What is n?
  8. 8.Riya’s mother is twice as old as Riya. Their ages add up to 36 years. How old is Riya?
  9. 9.Solve: 3(m + 2) = 48. What is m?
  10. 10.Solve: 8t − 13 = 35. What is t?
  11. 11.Karan is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  12. 12.Manav is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  13. 13.Solve: 7(x + 1) = 42. What is x?
  14. 14.Solve: 3n + 19 = 31. What is n?
  15. 15.Solve: 6(t + 8) = 96. What is t?
  16. 16.Solve: y/4 + 6 = 8. What is y?
  17. 17.Solve: 9y + 20 = 74. What is y?
  18. 18.Rahul thinks of a number, multiplies it by 2 and then adds 26. The result is 28. What is the number?
  19. 19.Aarav thinks of a number, multiplies it by 7 and then adds 27. The result is 76. What is the number?
  20. 20.Solve: 3m − 23 = 1. What is m?
  21. 21.Diya is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  22. 22.Solve: 8(x + 5) = 136. What is x?
  23. 23.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 45 years. How old is Vivaan?
  24. 24.Solve: 3(t + 1) = 18. What is t?
  25. 25.Solve: t/9 + 20 = 30. What is t?
  26. 26.Vivaan thinks of a number, multiplies it by 4 and then adds 10. The result is 46. What is the number?
  27. 27.Solve: 8m + 6 = 70. What is m?
  28. 28.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 27 years. How old is Ishaan?
  29. 29.Solve: 4n − 15 = 41. What is n?
  30. 30.Solve: 7y − 28 = 70. What is y?
  31. 31.Rahul thinks of a number, multiplies it by 7 and then adds 2. The result is 58. What is the number?
  32. 32.Solve: t/9 + 15 = 26. What is t?
  33. 33.Solve: 5m + 11 = 31. What is m?
  34. 34.Solve: 2n + 1 = 23. What is n?
  35. 35.Solve: 6(t + 1) = 72. What is t?
  36. 36.Aarav is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  37. 37.Solve: t/2 + 5 = 16. What is t?
  38. 38.Solve: 3p − 31 = 14. What is p?
  39. 39.Solve: 5y − 19 = 21. What is y?
  40. 40.Tara thinks of a number, multiplies it by 7 and then adds 8. The result is 92. What is the number?

Answer key

  1. 8
  2. 8
  3. 2
  4. 10
  5. 8
  6. 2
  7. 14
  8. 12
  9. 14
  10. 6
  11. 5
  12. 9
  13. 5
  14. 4
  15. 8
  16. 8
  17. 6
  18. 1
  19. 7
  20. 8
  21. 10
  22. 12
  23. 15
  24. 5
  25. 90
  26. 9
  27. 8
  28. 9
  29. 14
  30. 14
  31. 8
  32. 99
  33. 4
  34. 11
  35. 11
  36. 6
  37. 22
  38. 15
  39. 8
  40. 12

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