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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 200 · 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: 3y − 15 = 3. What is y?
  2. 2.Joseph is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  3. 3.Solve: x/2 + 7 = 14. What is x?
  4. 4.Solve: 4y − 2 = 2. What is y?
  5. 5.Solve: 4y + 9 = 69. What is y?
  6. 6.Solve: 2y − 3 = 3. What is y?
  7. 7.Solve: t/9 + 2 = 5. What is t?
  8. 8.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 42 years. How old is Saanvi?
  9. 9.Diya thinks of a number, multiplies it by 9 and then adds 29. The result is 38. What is the number?
  10. 10.Solve: 7n − 35 = 7. What is n?
  11. 11.Solve: 2(y + 7) = 16. What is y?
  12. 12.Solve: 5(x + 5) = 35. What is x?
  13. 13.Solve: 8(n + 4) = 104. What is n?
  14. 14.Isha is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  15. 15.Solve: 4(p + 9) = 40. What is p?
  16. 16.Solve: y/7 + 5 = 17. What is y?
  17. 17.Solve: 5m + 11 = 16. What is m?
  18. 18.Solve: 2y − 11 = 13. What is y?
  19. 19.Meera is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  20. 20.Solve: 7(t + 4) = 84. What is t?
  21. 21.Kavya thinks of a number, multiplies it by 6 and then adds 3. The result is 9. What is the number?
  22. 22.Solve: m/5 + 3 = 4. What is m?
  23. 23.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 30 years. How old is Vivaan?
  24. 24.Solve: x/5 + 9 = 11. What is x?
  25. 25.Solve: 4y − 6 = 34. What is y?
  26. 26.Solve: 8n − 11 = 101. What is n?
  27. 27.Saanvi is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  28. 28.Solve: t/2 + 1 = 12. What is t?
  29. 29.Isha thinks of a number, multiplies it by 2 and then adds 19. The result is 43. What is the number?
  30. 30.Solve: 3(y + 4) = 18. What is y?
  31. 31.Solve: 4(t + 8) = 76. What is t?
  32. 32.Priya’s mother is three times as old as Priya. Their ages add up to 56 years. How old is Priya?
  33. 33.Solve: x/5 + 7 = 12. What is x?
  34. 34.Solve: 5m + 28 = 48. What is m?
  35. 35.Solve: 3m + 4 = 49. What is m?
  36. 36.Solve: y/6 + 10 = 17. What is y?
  37. 37.Solve: 4y + 4 = 24. What is y?
  38. 38.Solve: 9p − 16 = 47. What is p?
  39. 39.Zoya is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  40. 40.Rohan’s mother is twice as old as Rohan. Their ages add up to 39 years. How old is Rohan?

Answer key

  1. 6
  2. 5
  3. 14
  4. 1
  5. 15
  6. 3
  7. 27
  8. 14
  9. 1
  10. 6
  11. 1
  12. 2
  13. 9
  14. 14
  15. 1
  16. 84
  17. 1
  18. 12
  19. 12
  20. 8
  21. 1
  22. 5
  23. 10
  24. 10
  25. 10
  26. 14
  27. 9
  28. 22
  29. 12
  30. 2
  31. 11
  32. 14
  33. 25
  34. 4
  35. 15
  36. 42
  37. 5
  38. 7
  39. 10
  40. 13

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