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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 441 · 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: y/5 + 6 = 7. What is y?
  2. 2.Joseph’s mother is four times as old as Joseph. Their ages add up to 25 years. How old is Joseph?
  3. 3.Solve: 7y − 61 = 2. What is y?
  4. 4.Solve: 4y + 2 = 6. What is y?
  5. 5.Solve: 8x + 25 = 137. What is x?
  6. 6.Solve: x/5 + 3 = 5. What is x?
  7. 7.Solve: 2(n + 3) = 24. What is n?
  8. 8.Solve: 9(x + 7) = 72. What is x?
  9. 9.Zoya’s mother is twice as old as Zoya. Their ages add up to 27 years. How old is Zoya?
  10. 10.Solve: 3x + 12 = 48. What is x?
  11. 11.Vivaan is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  12. 12.Solve: 2(t + 6) = 40. What is t?
  13. 13.Zoya’s mother is three times as old as Zoya. Their ages add up to 24 years. How old is Zoya?
  14. 14.Solve: 8(t + 6) = 64. What is t?
  15. 15.Solve: 8x − 7 = 1. What is x?
  16. 16.Solve: 3m − 5 = 16. What is m?
  17. 17.Ishaan thinks of a number, multiplies it by 5 and then adds 24. The result is 29. What is the number?
  18. 18.Saanvi thinks of a number, multiplies it by 4 and then adds 10. The result is 14. What is the number?
  19. 19.Tara is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  20. 20.Solve: 4(p + 5) = 28. What is p?
  21. 21.Ananya is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  22. 22.Nisha thinks of a number, multiplies it by 3 and then adds 4. The result is 31. What is the number?
  23. 23.Karan thinks of a number, multiplies it by 7 and then adds 15. The result is 99. What is the number?
  24. 24.Solve: p/9 + 2 = 4. What is p?
  25. 25.Solve: m/3 + 17 = 26. What is m?
  26. 26.Solve: y/8 + 5 = 9. What is y?
  27. 27.Solve: x/2 + 13 = 23. What is x?
  28. 28.Solve: 8(x + 2) = 56. What is x?
  29. 29.Solve: 5(n + 8) = 110. What is n?
  30. 30.Meera is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  31. 31.Solve: y/4 + 18 = 28. What is y?
  32. 32.Pooja is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  33. 33.Solve: 3t + 8 = 11. What is t?
  34. 34.Solve: 8n + 3 = 83. What is n?
  35. 35.Solve: 2(n + 4) = 32. What is n?
  36. 36.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 20 years. How old is Gurpreet?
  37. 37.Solve: 3x + 4 = 7. What is x?
  38. 38.Solve: 3(m + 1) = 6. What is m?
  39. 39.Solve: 2n − 1 = 1. What is n?
  40. 40.Solve: y/6 + 7 = 14. What is y?

Answer key

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

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