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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 925 · 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.Tara thinks of a number, multiplies it by 3 and then adds 22. The result is 37. What is the number?
  2. 2.Solve: 2y + 14 = 26. What is y?
  3. 3.Riya thinks of a number, multiplies it by 2 and then adds 17. The result is 43. What is the number?
  4. 4.Solve: 5n + 9 = 69. What is n?
  5. 5.Solve: 2t − 7 = 1. What is t?
  6. 6.Solve: 5n + 4 = 79. What is n?
  7. 7.Solve: 9y − 8 = 1. What is y?
  8. 8.Solve: t/6 + 1 = 16. What is t?
  9. 9.Karan’s mother is twice as old as Karan. Their ages add up to 15 years. How old is Karan?
  10. 10.Solve: p/8 + 12 = 19. What is p?
  11. 11.Solve: 2t + 15 = 19. What is t?
  12. 12.Solve: 7y + 8 = 92. What is y?
  13. 13.Solve: 7(t + 9) = 77. What is t?
  14. 14.Solve: 5n + 3 = 18. What is n?
  15. 15.Gurpreet thinks of a number, multiplies it by 8 and then adds 23. The result is 119. What is the number?
  16. 16.Joseph is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  17. 17.Solve: 4(p + 9) = 84. What is p?
  18. 18.Solve: 7(y + 5) = 77. What is y?
  19. 19.Solve: p/3 + 18 = 21. What is p?
  20. 20.Solve: 3(x + 9) = 42. What is x?
  21. 21.Solve: t/8 + 1 = 13. What is t?
  22. 22.Nisha thinks of a number, multiplies it by 7 and then adds 5. The result is 68. What is the number?
  23. 23.Manav’s mother is three times as old as Manav. Their ages add up to 20 years. How old is Manav?
  24. 24.Solve: 9(t + 6) = 63. What is t?
  25. 25.Solve: 9(p + 3) = 90. What is p?
  26. 26.Solve: 5p + 10 = 80. What is p?
  27. 27.Solve: 8(p + 1) = 88. What is p?
  28. 28.Meera is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  29. 29.Solve: n/2 + 14 = 27. What is n?
  30. 30.Solve: n/2 + 4 = 7. What is n?
  31. 31.Solve: 6x + 2 = 8. What is x?
  32. 32.Solve: 2(y + 1) = 26. What is y?
  33. 33.Solve: 3(y + 2) = 36. What is y?
  34. 34.Solve: 5p + 22 = 62. What is p?
  35. 35.Vivaan thinks of a number, multiplies it by 3 and then adds 11. The result is 44. What is the number?
  36. 36.Solve: 9(n + 4) = 63. What is n?
  37. 37.Solve: x/5 + 6 = 14. What is x?
  38. 38.Solve: 3p − 7 = 11. What is p?
  39. 39.Solve: t/4 + 5 = 13. What is t?
  40. 40.Solve: 8(t + 4) = 64. What is t?

Answer key

  1. 5
  2. 6
  3. 13
  4. 12
  5. 4
  6. 15
  7. 1
  8. 90
  9. 5
  10. 56
  11. 2
  12. 12
  13. 2
  14. 3
  15. 12
  16. 9
  17. 12
  18. 6
  19. 9
  20. 5
  21. 96
  22. 9
  23. 5
  24. 1
  25. 7
  26. 14
  27. 10
  28. 9
  29. 26
  30. 6
  31. 1
  32. 12
  33. 10
  34. 8
  35. 11
  36. 3
  37. 40
  38. 6
  39. 32
  40. 4

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