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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 15 · 40 sums
TalentJR

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.Dev shares m pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) 9m (b) m − 9 (c) m ÷ 9 (d) m + 9
  2. 2.Find the value of 9a + 6b when a = 3 and b = 6.
  3. 3.Solve: x − 6 = 16. What is x?
  4. 4.Find the value of 9y + 6 when y = 11.
  5. 5.Solve: x + 12 = 26. What is x?
  6. 6.Solve: x + 11 = 20. What is x?
  7. 7.Kabir has k balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) k ÷ 9 (b) k − 9 (c) k + 9 (d) 9k
  8. 8.Lakshmi has m laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) m ÷ 6 (b) m − 6 (c) 6m (d) m + 6
  9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  11. 11.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  12. 12.Solve: p − 12 = 10. What is p?
  13. 13.Find the value of 7a + 5b when a = 2 and b = 6.
  14. 14.Find the value of 3a + 2b when a = 5 and b = 8.
  15. 15.Arjun has p books. A friend has 4 fewer. Which expression shows how many books the friend has? (a) 4p (b) p + 4 (c) p ÷ 4 (d) p − 4
  16. 16.Find the value of 2t + 13 when t = 2.
  17. 17.Find the value of 4t − 1 when t = 9.
  18. 18.Find the value of 4a + 2b when a = 10 and b = 9.
  19. 19.Find the value of 6n − 63 when n = 12.
  20. 20.Rohan has m pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
  21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  22. 22.Solve: y + 10 = 26. What is y?
  23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  24. 24.Solve: 10m = 10. What is m?
  25. 25.Find the value of 9a + 8b when a = 8 and b = 6.
  26. 26.Find the value of 7t − 12 when t = 2.
  27. 27.Solve: m ÷ 6 = 9. What is m?
  28. 28.Find the value of 2a + 3b when a = 2 and b = 3.
  29. 29.Solve: x ÷ 9 = 15. What is x?
  30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  32. 32.Solve: 9x = 99. What is x?
  33. 33.Solve: 7y = 119. What is y?
  34. 34.Solve: t − 12 = 17. What is t?
  35. 35.Find the value of 2a + 9b when a = 8 and b = 2.
  36. 36.Find the value of 5t + 11 when t = 2.
  37. 37.Solve: 11t = 187. What is t?
  38. 38.Find the value of 5p − 1 when p = 5.
  39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  40. 40.Find the value of 9a + 8b when a = 10 and b = 8.

Answer key

  1. m ÷ 9
  2. 63
  3. 22
  4. 105
  5. 14
  6. 9
  7. k + 9
  8. m + 6
  9. 18
  10. 36
  11. 54
  12. 22
  13. 44
  14. 31
  15. p − 4
  16. 17
  17. 35
  18. 58
  19. 9
  20. m − 4
  21. 38
  22. 16
  23. 12
  24. 1
  25. 120
  26. 2
  27. 54
  28. 13
  29. 135
  30. 57
  31. 40
  32. 11
  33. 17
  34. 29
  35. 34
  36. 21
  37. 17
  38. 24
  39. 69
  40. 154

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