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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 754 · 40 sums
TalentJR

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: 8(n + 1) = 80. What is n?
  2. 2.Solve: 8m − 5 = 11. What is m?
  3. 3.Tara is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  4. 4.Solve: n/3 + 1 = 14. What is n?
  5. 5.Solve: 7m − 14 = 42. What is m?
  6. 6.Solve: 2(p + 7) = 18. What is p?
  7. 7.Solve: 3(t + 1) = 6. What is t?
  8. 8.Sneha is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  9. 9.Solve: 6(p + 1) = 96. What is p?
  10. 10.Solve: 9t − 6 = 3. What is t?
  11. 11.Solve: 4(x + 6) = 32. What is x?
  12. 12.Solve: 4p + 4 = 56. What is p?
  13. 13.Solve: 2m − 6 = 18. What is m?
  14. 14.Zoya is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  15. 15.Manav is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  16. 16.Solve: 6y + 4 = 94. What is y?
  17. 17.Solve: 2(n + 4) = 26. What is n?
  18. 18.Solve: 4y + 13 = 33. What is y?
  19. 19.Farhan is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  20. 20.Solve: 6y + 18 = 96. What is y?
  21. 21.Solve: x/4 + 18 = 21. What is x?
  22. 22.Solve: 4x − 17 = 31. What is x?
  23. 23.Solve: 3m − 17 = 25. What is m?
  24. 24.Ishaan is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  25. 25.Solve: 3x + 16 = 28. What is x?
  26. 26.Solve: m/5 + 13 = 26. What is m?
  27. 27.Solve: y/9 + 5 = 16. What is y?
  28. 28.Solve: 9(t + 6) = 63. What is t?
  29. 29.Pooja thinks of a number, multiplies it by 2 and then adds 3. The result is 19. What is the number?
  30. 30.Zoya’s mother is twice as old as Zoya. Their ages add up to 36 years. How old is Zoya?
  31. 31.Solve: m/9 + 9 = 13. What is m?
  32. 32.Solve: 6(t + 9) = 72. What is t?
  33. 33.Solve: 7x + 6 = 13. What is x?
  34. 34.Solve: n/2 + 2 = 12. What is n?
  35. 35.Solve: 9x − 97 = 2. What is x?
  36. 36.Solve: 7x − 98 = 7. What is x?
  37. 37.Solve: t/5 + 4 = 18. What is t?
  38. 38.Solve: p/4 + 9 = 21. What is p?
  39. 39.Solve: 6m − 72 = 18. What is m?
  40. 40.Dev is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?

Answer key

  1. 9
  2. 2
  3. 12
  4. 39
  5. 8
  6. 2
  7. 1
  8. 9
  9. 15
  10. 1
  11. 2
  12. 13
  13. 12
  14. 10
  15. 7
  16. 15
  17. 9
  18. 5
  19. 6
  20. 13
  21. 12
  22. 12
  23. 14
  24. 7
  25. 4
  26. 65
  27. 99
  28. 1
  29. 8
  30. 12
  31. 36
  32. 3
  33. 1
  34. 20
  35. 11
  36. 15
  37. 70
  38. 48
  39. 15
  40. 9

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