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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 156 · 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: 7(x + 1) = 14. What is x?
  2. 2.Solve: 2(x + 1) = 30. What is x?
  3. 3.Meera is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  4. 4.Solve: 9(m + 7) = 99. What is m?
  5. 5.Solve: 6(n + 7) = 120. What is n?
  6. 6.Solve: 9n + 26 = 125. What is n?
  7. 7.Solve: 4x + 14 = 50. What is x?
  8. 8.Solve: 8t + 8 = 80. What is t?
  9. 9.Solve: 4t + 2 = 46. What is t?
  10. 10.Joseph is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  11. 11.Solve: m/3 + 16 = 21. What is m?
  12. 12.Meera thinks of a number, multiplies it by 5 and then adds 9. The result is 29. What is the number?
  13. 13.Riya is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  14. 14.Solve: 7m − 27 = 64. What is m?
  15. 15.Solve: 5m + 4 = 34. What is m?
  16. 16.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 18 years. How old is Lakshmi?
  17. 17.Solve: 4(t + 4) = 28. What is t?
  18. 18.Solve: 8y + 5 = 13. What is y?
  19. 19.Solve: 6x − 46 = 14. What is x?
  20. 20.Pooja thinks of a number, multiplies it by 9 and then adds 21. The result is 93. What is the number?
  21. 21.Solve: 7n + 13 = 20. What is n?
  22. 22.Solve: 9(n + 9) = 135. What is n?
  23. 23.Solve: 4(m + 7) = 68. What is m?
  24. 24.Solve: 4x + 11 = 19. What is x?
  25. 25.Solve: 6(t + 6) = 96. What is t?
  26. 26.Solve: y/3 + 15 = 25. What is y?
  27. 27.Solve: 5(p + 2) = 20. What is p?
  28. 28.Solve: 4m − 31 = 9. What is m?
  29. 29.Solve: 2(y + 8) = 22. What is y?
  30. 30.Solve: n/2 + 5 = 7. What is n?
  31. 31.Solve: 2y + 20 = 22. What is y?
  32. 32.Solve: 8(y + 9) = 176. What is y?
  33. 33.Solve: 9x − 64 = 17. What is x?
  34. 34.Meera is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  35. 35.Lakshmi thinks of a number, multiplies it by 6 and then adds 6. The result is 66. What is the number?
  36. 36.Ishaan is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  37. 37.Kabir thinks of a number, multiplies it by 4 and then adds 12. The result is 48. What is the number?
  38. 38.Arjun’s mother is four times as old as Arjun. Their ages add up to 40 years. How old is Arjun?
  39. 39.Solve: t/4 + 20 = 22. What is t?
  40. 40.Nisha thinks of a number, multiplies it by 9 and then adds 26. The result is 107. What is the number?

Answer key

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

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