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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 67 · 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.Find the value of 4y − 2 when y = 2.
  2. 2.Find the value of 4a + 3b when a = 4 and b = 6.
  3. 3.Solve: 6t = 18. What is t?
  4. 4.Find the value of 7a + 9b when a = 6 and b = 2.
  5. 5.Find the value of 6a + 3b when a = 10 and b = 7.
  6. 6.Solve: n ÷ 10 = 5. What is n?
  7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  8. 8.Find the value of 7y + 19 when y = 12.
  9. 9.Find the value of 8t + 12 when t = 4.
  10. 10.Gurpreet has m pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) m + 3 (b) m ÷ 3 (c) m − 3 (d) 3m
  11. 11.Solve: m − 5 = 17. What is m?
  12. 12.Solve: 7x = 77. What is x?
  13. 13.Find the value of 3p − 4 when p = 3.
  14. 14.Find the value of 3a + 5b when a = 7 and b = 4.
  15. 15.Solve: 5m = 85. What is m?
  16. 16.Solve: n + 3 = 5. What is n?
  17. 17.Lakshmi has n flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) 2n (b) n + 2 (c) n − 2 (d) n ÷ 2
  18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  19. 19.Priya has p balloons. A friend has 2 more. Which expression shows how many balloons the friend has? (a) p + 2 (b) p − 2 (c) p ÷ 2 (d) 2p
  20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  21. 21.Solve: 5x = 5. What is x?
  22. 22.Find the value of 8a + 2b when a = 6 and b = 8.
  23. 23.Solve: 2t = 2. What is t?
  24. 24.Solve: 6m = 18. What is m?
  25. 25.Find the value of 9a + 2b when a = 8 and b = 10.
  26. 26.Solve: m − 2 = 8. What is m?
  27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  29. 29.Find the value of 8x + 7 when x = 8.
  30. 30.Solve: t ÷ 10 = 11. What is t?
  31. 31.Find the value of 5a + 9b when a = 2 and b = 3.
  32. 32.Find the value of 4n + 10 when n = 8.
  33. 33.Solve: 4x = 20. What is x?
  34. 34.Solve: y + 10 = 22. What is y?
  35. 35.Solve: y − 12 = 15. What is y?
  36. 36.Kabir has k bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) k + 7 (b) k − 7 (c) k ÷ 7 (d) 7k
  37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  38. 38.Find the value of 7x + 14 when x = 7.
  39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  40. 40.Find the value of 8m − 15 when m = 10.

Answer key

  1. 6
  2. 34
  3. 3
  4. 60
  5. 81
  6. 50
  7. 54
  8. 103
  9. 44
  10. m + 3
  11. 22
  12. 11
  13. 5
  14. 41
  15. 17
  16. 2
  17. n + 2
  18. 45
  19. p + 2
  20. 63
  21. 1
  22. 64
  23. 1
  24. 3
  25. 92
  26. 10
  27. 33
  28. 54
  29. 71
  30. 110
  31. 37
  32. 42
  33. 5
  34. 12
  35. 27
  36. k + 7
  37. 38
  38. 63
  39. 87
  40. 65

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