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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 572 · 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 + 9 = 25. What is m?
  2. 2.Find the value of 6m − 27 when m = 9.
  3. 3.Pooja has k balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) 4k (b) k ÷ 4 (c) k − 4 (d) k + 4
  4. 4.Find the value of 9a + 4b when a = 7 and b = 5.
  5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
  6. 6.Find the value of 8a + 6b when a = 3 and b = 1.
  7. 7.Find the value of 9a + 8b when a = 6 and b = 10.
  8. 8.Solve: 3x = 33. What is x?
  9. 9.Solve: y ÷ 11 = 18. What is y?
  10. 10.Find the value of 9a + 3b when a = 5 and b = 5.
  11. 11.Solve: m − 11 = 20. What is m?
  12. 12.Solve: p − 5 = 1. What is p?
  13. 13.Solve: n ÷ 12 = 4. What is n?
  14. 14.Solve: 2n = 22. What is n?
  15. 15.Find the value of 5x + 17 when x = 6.
  16. 16.Find the value of 9n − 1 when n = 1.
  17. 17.Solve: y − 9 = 11. What is y?
  18. 18.Vivaan has k books. A friend has 3 more. Which expression shows how many books the friend has? (a) 3k (b) k − 3 (c) k + 3 (d) k ÷ 3
  19. 19.Solve: n ÷ 8 = 1. What is n?
  20. 20.Zoya has m balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) m ÷ 6 (b) m + 6 (c) m − 6 (d) 6m
  21. 21.Solve: x − 5 = 5. What is x?
  22. 22.Find the value of 7t − 78 when t = 12.
  23. 23.Find the value of 5a + 9b when a = 10 and b = 1.
  24. 24.Find the value of 3t + 8 when t = 11.
  25. 25.Find the value of 3y + 19 when y = 6.
  26. 26.Solve: y − 10 = 7. What is y?
  27. 27.Sneha shares n kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) n ÷ 8 (b) n − 8 (c) 8n (d) n + 8
  28. 28.Find the value of 6a + 6b when a = 8 and b = 8.
  29. 29.Find the value of 9a + 3b when a = 3 and b = 6.
  30. 30.Find the value of 6t − 15 when t = 3.
  31. 31.Dev has k pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) 9k (b) k ÷ 9 (c) k + 9 (d) k − 9
  32. 32.Find the value of 6a + 8b when a = 6 and b = 10.
  33. 33.Find the value of 4x + 16 when x = 1.
  34. 34.Find the value of 7a + 8b when a = 8 and b = 9.
  35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  36. 36.Solve: 6t = 48. What is t?
  37. 37.Find the value of 5n + 13 when n = 12.
  38. 38.Diya has n crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) 2n (b) n − 2 (c) n + 2 (d) n ÷ 2
  39. 39.Find the value of 6a + 6b when a = 10 and b = 8.
  40. 40.Aarav has p crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) p ÷ 8 (b) p + 8 (c) 8p (d) p − 8

Answer key

  1. 16
  2. 27
  3. k + 4
  4. 83
  5. 112
  6. 30
  7. 134
  8. 11
  9. 198
  10. 60
  11. 31
  12. 6
  13. 48
  14. 11
  15. 47
  16. 8
  17. 20
  18. k + 3
  19. 8
  20. 6m
  21. 10
  22. 6
  23. 59
  24. 41
  25. 37
  26. 17
  27. n ÷ 8
  28. 96
  29. 45
  30. 3
  31. k − 9
  32. 116
  33. 20
  34. 128
  35. 32
  36. 8
  37. 73
  38. n + 2
  39. 108
  40. 8p

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