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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 68 · 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: m − 3 = 15. What is m?
  2. 2.Find the value of 5a + 4b when a = 2 and b = 9.
  3. 3.Solve: n + 6 = 25. What is n?
  4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  5. 5.Find the value of 5a + 3b when a = 10 and b = 10.
  6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  7. 7.Solve: y + 2 = 13. What is y?
  8. 8.Find the value of 7x − 3 when x = 1.
  9. 9.Find the value of 2a + 7b when a = 3 and b = 10.
  10. 10.Solve: p ÷ 5 = 10. What is p?
  11. 11.Priya has n flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) n ÷ 2 (b) 2n (c) n − 2 (d) n + 2
  12. 12.Find the value of 7a + 9b when a = 8 and b = 3.
  13. 13.Find the value of 5a + 5b when a = 6 and b = 2.
  14. 14.Find the value of 2a + 3b when a = 8 and b = 3.
  15. 15.Solve: 7n = 49. What is n?
  16. 16.Solve: y − 2 = 3. What is y?
  17. 17.Find the value of 6t − 4 when t = 1.
  18. 18.Find the value of 6y − 20 when y = 5.
  19. 19.Find the value of 5p − 33 when p = 7.
  20. 20.Find the value of 5t − 30 when t = 9.
  21. 21.Aarav has m flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) m ÷ 9 (b) m − 9 (c) 9m (d) m + 9
  22. 22.Meera has p balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) p ÷ 6 (b) p − 6 (c) p + 6 (d) 6p
  23. 23.Find the value of 3y + 4 when y = 9.
  24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  25. 25.Find the value of 7n + 11 when n = 8.
  26. 26.Find the value of 5a + 6b when a = 5 and b = 5.
  27. 27.Find the value of 2a + 6b when a = 9 and b = 8.
  28. 28.Find the value of 9a + 5b when a = 10 and b = 4.
  29. 29.Solve: p − 10 = 17. What is p?
  30. 30.Find the value of 6y + 4 when y = 2.
  31. 31.Find the value of 2x + 20 when x = 1.
  32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  33. 33.Find the value of 2a + 6b when a = 2 and b = 6.
  34. 34.Solve: 7p = 56. What is p?
  35. 35.Find the value of 3a + 8b when a = 1 and b = 3.
  36. 36.Find the value of 7n − 13 when n = 4.
  37. 37.Priya has p balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
  38. 38.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  39. 39.Arjun has m laddoos. A friend has 2 times as many. Which expression shows how many laddoos the friend has? (a) m − 2 (b) m ÷ 2 (c) 2m (d) m + 2
  40. 40.Find the value of 4a + 7b when a = 8 and b = 8.

Answer key

  1. 18
  2. 46
  3. 19
  4. 33
  5. 80
  6. 90
  7. 11
  8. 4
  9. 76
  10. 50
  11. n + 2
  12. 83
  13. 40
  14. 25
  15. 7
  16. 5
  17. 2
  18. 10
  19. 2
  20. 15
  21. m + 9
  22. 6p
  23. 31
  24. 16
  25. 67
  26. 55
  27. 66
  28. 110
  29. 27
  30. 16
  31. 22
  32. 57
  33. 40
  34. 8
  35. 27
  36. 15
  37. 2p
  38. 30
  39. 2m
  40. 88

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