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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 75 · 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 6x + 1 when x = 1.
  2. 2.Ishaan has n laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) n + 8 (b) n − 8 (c) 8n (d) n ÷ 8
  3. 3.Find the value of 6p + 5 when p = 8.
  4. 4.Find the value of 3x − 2 when x = 1.
  5. 5.Find the value of 4a + 2b when a = 8 and b = 3.
  6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  7. 7.Find the value of 9a + 5b when a = 6 and b = 10.
  8. 8.Find the value of 7a + 2b when a = 5 and b = 1.
  9. 9.Find the value of 3a + 6b when a = 1 and b = 1.
  10. 10.Solve: m + 4 = 20. What is m?
  11. 11.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  12. 12.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  13. 13.Find the value of 8m − 19 when m = 3.
  14. 14.Solve: n − 5 = 8. What is n?
  15. 15.Find the value of 7a + 3b when a = 8 and b = 7.
  16. 16.Solve: y + 9 = 10. What is y?
  17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  18. 18.Solve: m ÷ 11 = 15. What is m?
  19. 19.Solve: 11y = 220. What is y?
  20. 20.Solve: 7y = 105. What is y?
  21. 21.Find the value of 8n + 15 when n = 4.
  22. 22.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  23. 23.Find the value of 3a + 6b when a = 5 and b = 3.
  24. 24.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  25. 25.Find the value of 4p + 14 when p = 8.
  26. 26.Find the value of 5a + 3b when a = 10 and b = 3.
  27. 27.Find the value of 7a + 4b when a = 8 and b = 10.
  28. 28.Solve: t − 9 = 20. What is t?
  29. 29.Find the value of 4x + 1 when x = 7.
  30. 30.Solve: x ÷ 5 = 16. What is x?
  31. 31.Find the value of 5p + 9 when p = 10.
  32. 32.Vivaan has m flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) m ÷ 5 (b) m + 5 (c) m − 5 (d) 5m
  33. 33.Solve: y − 2 = 12. What is y?
  34. 34.Find the value of 6a + 2b when a = 6 and b = 2.
  35. 35.Find the value of 3a + 2b when a = 3 and b = 9.
  36. 36.Find the value of 5y − 28 when y = 12.
  37. 37.Find the value of 2n + 2 when n = 1.
  38. 38.Find the value of 5a + 2b when a = 4 and b = 8.
  39. 39.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  40. 40.Find the value of 2a + 9b when a = 8 and b = 1.

Answer key

  1. 7
  2. 8n
  3. 53
  4. 1
  5. 38
  6. 75
  7. 104
  8. 37
  9. 9
  10. 16
  11. 81
  12. 36
  13. 5
  14. 13
  15. 77
  16. 1
  17. 18
  18. 165
  19. 20
  20. 15
  21. 47
  22. 42
  23. 33
  24. 33
  25. 46
  26. 59
  27. 96
  28. 29
  29. 29
  30. 80
  31. 59
  32. m + 5
  33. 14
  34. 40
  35. 27
  36. 32
  37. 4
  38. 36
  39. 42
  40. 25

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