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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 209 · 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: 9x + 18 = 90. What is x?
  2. 2.Solve: n/5 + 14 = 22. What is n?
  3. 3.Solve: 2m − 16 = 12. What is m?
  4. 4.Solve: 8x + 3 = 91. What is x?
  5. 5.Kavya’s mother is three times as old as Kavya. Their ages add up to 20 years. How old is Kavya?
  6. 6.Solve: 9p − 56 = 16. What is p?
  7. 7.Solve: 9x + 5 = 131. What is x?
  8. 8.Solve: 8x + 17 = 105. What is x?
  9. 9.Solve: 3y − 1 = 8. What is y?
  10. 10.Solve: 9x + 14 = 86. What is x?
  11. 11.Saanvi thinks of a number, multiplies it by 4 and then adds 30. The result is 34. What is the number?
  12. 12.Solve: 7(t + 8) = 63. What is t?
  13. 13.Solve: 3n − 16 = 23. What is n?
  14. 14.Kavya thinks of a number, multiplies it by 4 and then adds 17. The result is 49. What is the number?
  15. 15.Aarav thinks of a number, multiplies it by 5 and then adds 20. The result is 95. What is the number?
  16. 16.Solve: 6x + 30 = 102. What is x?
  17. 17.Solve: 6(t + 3) = 66. What is t?
  18. 18.Solve: 2(t + 1) = 10. What is t?
  19. 19.Solve: 8m + 15 = 103. What is m?
  20. 20.Karan thinks of a number, multiplies it by 5 and then adds 15. The result is 30. What is the number?
  21. 21.Aditya thinks of a number, multiplies it by 3 and then adds 27. The result is 69. What is the number?
  22. 22.Solve: 3(m + 2) = 21. What is m?
  23. 23.Solve: 6x − 12 = 12. What is x?
  24. 24.Solve: 7(m + 1) = 14. What is m?
  25. 25.Ananya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  26. 26.Kabir thinks of a number, multiplies it by 2 and then adds 24. The result is 34. What is the number?
  27. 27.Solve: 3t − 6 = 21. What is t?
  28. 28.Vivaan is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  29. 29.Solve: 8(x + 8) = 128. What is x?
  30. 30.Tara thinks of a number, multiplies it by 4 and then adds 25. The result is 41. What is the number?
  31. 31.Solve: 4(y + 3) = 44. What is y?
  32. 32.Solve: y/3 + 19 = 20. What is y?
  33. 33.Solve: 4y + 5 = 61. What is y?
  34. 34.Aarav thinks of a number, multiplies it by 3 and then adds 9. The result is 21. What is the number?
  35. 35.Karan’s mother is twice as old as Karan. Their ages add up to 45 years. How old is Karan?
  36. 36.Solve: m/2 + 6 = 19. What is m?
  37. 37.Solve: 4(m + 4) = 68. What is m?
  38. 38.Solve: 9x − 9 = 72. What is x?
  39. 39.Solve: 5n + 4 = 14. What is n?
  40. 40.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 24 years. How old is Ishaan?

Answer key

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

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