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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 566 · 40 sums
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The method (Keep the balance): 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5. Value of an expression: put the number in place of the letter, then work it out — 3x + 5 when x = 4 is 12 + 5 = 17. Solve x + a = b by taking a from both sides; x − a = b by adding a; ax = b by dividing by a; x ÷ a = b by multiplying by a. Check by putting your answer back into the equation.

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  1. 1.Solve: 8x = 112. What is x?
  2. 2.Solve: 3x = 60. What is x?
  3. 3.Solve: 6p = 12. What is p?
  4. 4.Find the value of 6y + 13 when y = 8.
  5. 5.Find the value of 2y + 9 when y = 4.
  6. 6.Find the value of 3m + 17 when m = 4.
  7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  8. 8.Kavya shares m books equally among 5 friends. Which expression shows how many books each friend gets? (a) 5m (b) m + 5 (c) m ÷ 5 (d) m − 5
  9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  10. 10.Find the value of 4p − 7 when p = 2.
  11. 11.Solve: p + 4 = 14. What is p?
  12. 12.Solve: t − 4 = 4. What is t?
  13. 13.Find the value of 3a + 5b when a = 1 and b = 5.
  14. 14.Ananya shares n books equally among 2 friends. Which expression shows how many books each friend gets? (a) n + 2 (b) 2n (c) n ÷ 2 (d) n − 2
  15. 15.Find the value of 8a + 6b when a = 8 and b = 8.
  16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  18. 18.Find the value of 5p + 13 when p = 9.
  19. 19.Find the value of 7n − 2 when n = 6.
  20. 20.Solve: p ÷ 3 = 1. What is p?
  21. 21.Find the value of 8x + 5 when x = 9.
  22. 22.Find the value of 2p + 17 when p = 5.
  23. 23.Rahul shares k shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) k − 6 (b) k ÷ 6 (c) 6k (d) k + 6
  24. 24.Find the value of 9n − 6 when n = 1.
  25. 25.Find the value of 5a + 5b when a = 8 and b = 8.
  26. 26.Find the value of 2x + 11 when x = 3.
  27. 27.Find the value of 6t − 8 when t = 3.
  28. 28.Find the value of 9n − 31 when n = 6.
  29. 29.Solve: x ÷ 2 = 20. What is x?
  30. 30.Find the value of 7a + 6b when a = 1 and b = 10.
  31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  32. 32.Find the value of 6x − 10 when x = 3.
  33. 33.Solve: 6t = 60. What is t?
  34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  35. 35.Solve: t + 4 = 12. What is t?
  36. 36.Solve: 2t = 18. What is t?
  37. 37.Find the value of 4y + 16 when y = 12.
  38. 38.Diya has m kites. A friend has 6 times as many. Which expression shows how many kites the friend has? (a) 6m (b) m ÷ 6 (c) m + 6 (d) m − 6
  39. 39.Solve: n − 12 = 13. What is n?
  40. 40.Karan has n shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) n ÷ 7 (b) 7n (c) n + 7 (d) n − 7

Answer key

  1. 14
  2. 20
  3. 2
  4. 61
  5. 17
  6. 29
  7. 30
  8. m ÷ 5
  9. 36
  10. 1
  11. 10
  12. 8
  13. 28
  14. n ÷ 2
  15. 112
  16. 72
  17. 26
  18. 58
  19. 40
  20. 3
  21. 77
  22. 27
  23. k ÷ 6
  24. 3
  25. 80
  26. 17
  27. 10
  28. 23
  29. 40
  30. 67
  31. 32
  32. 8
  33. 10
  34. 63
  35. 8
  36. 9
  37. 64
  38. 6m
  39. 25
  40. n + 7

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