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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 985 · 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: 2x − 1 = 3. What is x?
  2. 2.Solve: 9(m + 5) = 117. What is m?
  3. 3.Solve: y/4 + 9 = 18. What is y?
  4. 4.Solve: y/3 + 4 = 11. What is y?
  5. 5.Solve: 2y − 15 = 3. What is y?
  6. 6.Solve: 6(n + 6) = 102. What is n?
  7. 7.Solve: m/2 + 10 = 20. What is m?
  8. 8.Solve: 5m − 6 = 19. What is m?
  9. 9.Solve: 2(x + 2) = 24. What is x?
  10. 10.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 21 years. How old is Gurpreet?
  11. 11.Solve: y/3 + 9 = 21. What is y?
  12. 12.Solve: 3p − 4 = 11. What is p?
  13. 13.Solve: 7n + 22 = 43. What is n?
  14. 14.Kavya thinks of a number, multiplies it by 7 and then adds 27. The result is 83. What is the number?
  15. 15.Solve: 3x + 27 = 72. What is x?
  16. 16.Solve: p/2 + 3 = 5. What is p?
  17. 17.Solve: 8y + 17 = 97. What is y?
  18. 18.Solve: 3(x + 3) = 27. What is x?
  19. 19.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 24 years. How old is Gurpreet?
  20. 20.Manav thinks of a number, multiplies it by 9 and then adds 28. The result is 163. What is the number?
  21. 21.Solve: 6x + 8 = 20. What is x?
  22. 22.Solve: 5(n + 9) = 65. What is n?
  23. 23.Aditya’s mother is twice as old as Aditya. Their ages add up to 36 years. How old is Aditya?
  24. 24.Solve: 9(m + 5) = 90. What is m?
  25. 25.Solve: 6(t + 1) = 78. What is t?
  26. 26.Kavya thinks of a number, multiplies it by 2 and then adds 15. The result is 17. What is the number?
  27. 27.Solve: 8m + 15 = 23. What is m?
  28. 28.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 55 years. How old is Saanvi?
  29. 29.Solve: 3y − 5 = 1. What is y?
  30. 30.Solve: 8y − 9 = 7. What is y?
  31. 31.Solve: t/5 + 20 = 21. What is t?
  32. 32.Solve: 8(p + 5) = 128. What is p?
  33. 33.Solve: 2x + 21 = 39. What is x?
  34. 34.Solve: 4t − 39 = 5. What is t?
  35. 35.Solve: 4(t + 6) = 68. What is t?
  36. 36.Saanvi thinks of a number, multiplies it by 7 and then adds 9. The result is 23. What is the number?
  37. 37.Solve: p/2 + 15 = 18. What is p?
  38. 38.Manav’s mother is twice as old as Manav. Their ages add up to 45 years. How old is Manav?
  39. 39.Solve: 3x + 9 = 15. What is x?
  40. 40.Vivaan is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?

Answer key

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

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