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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 547 · 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.Dev is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  2. 2.Solve: n/5 + 5 = 19. What is n?
  3. 3.Solve: 6x + 20 = 92. What is x?
  4. 4.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 39 years. How old is Gurpreet?
  5. 5.Solve: 9(y + 8) = 171. What is y?
  6. 6.Solve: 5(m + 2) = 75. What is m?
  7. 7.Solve: 4(t + 7) = 76. What is t?
  8. 8.Diya’s mother is twice as old as Diya. Their ages add up to 21 years. How old is Diya?
  9. 9.Solve: 8n + 11 = 107. What is n?
  10. 10.Solve: m/2 + 9 = 13. What is m?
  11. 11.Solve: x/3 + 5 = 19. What is x?
  12. 12.Solve: 2(t + 7) = 24. What is t?
  13. 13.Karan’s mother is three times as old as Karan. Their ages add up to 52 years. How old is Karan?
  14. 14.Solve: 2y − 7 = 7. What is y?
  15. 15.Kabir thinks of a number, multiplies it by 3 and then adds 3. The result is 39. What is the number?
  16. 16.Karan’s mother is four times as old as Karan. Their ages add up to 65 years. How old is Karan?
  17. 17.Solve: 3m + 1 = 37. What is m?
  18. 18.Solve: 2x + 12 = 28. What is x?
  19. 19.Solve: 6x + 7 = 97. What is x?
  20. 20.Vivaan is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  21. 21.Solve: 6m + 14 = 50. What is m?
  22. 22.Solve: 4t + 11 = 67. What is t?
  23. 23.Solve: 3t + 19 = 22. What is t?
  24. 24.Joseph’s mother is twice as old as Joseph. Their ages add up to 33 years. How old is Joseph?
  25. 25.Tara thinks of a number, multiplies it by 3 and then adds 17. The result is 56. What is the number?
  26. 26.Solve: 9t − 16 = 2. What is t?
  27. 27.Solve: 5n − 24 = 16. What is n?
  28. 28.Meera is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  29. 29.Solve: 3t + 14 = 26. What is t?
  30. 30.Solve: 7y + 10 = 31. What is y?
  31. 31.Solve: 5n − 6 = 4. What is n?
  32. 32.Dev’s mother is twice as old as Dev. Their ages add up to 36 years. How old is Dev?
  33. 33.Solve: 4t − 35 = 9. What is t?
  34. 34.Solve: 4(x + 1) = 8. What is x?
  35. 35.Solve: 8p − 45 = 43. What is p?
  36. 36.Saanvi is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  37. 37.Solve: 7n + 9 = 86. What is n?
  38. 38.Solve: 4t + 16 = 64. What is t?
  39. 39.Solve: x/2 + 5 = 16. What is x?
  40. 40.Solve: 9(y + 2) = 135. What is y?

Answer key

  1. 11
  2. 70
  3. 12
  4. 13
  5. 11
  6. 13
  7. 12
  8. 7
  9. 12
  10. 8
  11. 42
  12. 5
  13. 13
  14. 7
  15. 12
  16. 13
  17. 12
  18. 8
  19. 15
  20. 6
  21. 6
  22. 14
  23. 1
  24. 11
  25. 13
  26. 2
  27. 8
  28. 4
  29. 4
  30. 3
  31. 2
  32. 12
  33. 11
  34. 1
  35. 11
  36. 7
  37. 11
  38. 12
  39. 22
  40. 13

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