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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 567 · 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.Find the value of 3x + 8 when x = 1.
  2. 2.Find the value of 8a + 3b when a = 2 and b = 3.
  3. 3.Find the value of 7t − 28 when t = 6.
  4. 4.Solve: m + 10 = 20. What is m?
  5. 5.Find the value of 2p + 18 when p = 8.
  6. 6.Saanvi has k balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) k + 5 (b) k − 5 (c) k ÷ 5 (d) 5k
  7. 7.Find the value of 4p + 3 when p = 2.
  8. 8.Find the value of 8p − 5 when p = 1.
  9. 9.Find the value of 6a + 3b when a = 2 and b = 9.
  10. 10.Solve: 2p = 34. What is p?
  11. 11.Find the value of 4a + 2b when a = 7 and b = 4.
  12. 12.Find the value of 5n − 27 when n = 9.
  13. 13.Find the value of 5t − 3 when t = 1.
  14. 14.Find the value of 3m + 1 when m = 11.
  15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  16. 16.Solve: t + 7 = 20. What is t?
  17. 17.Diya has p shells. A friend has 3 more. Which expression shows how many shells the friend has? (a) 3p (b) p + 3 (c) p ÷ 3 (d) p − 3
  18. 18.Solve: p − 5 = 13. What is p?
  19. 19.Find the value of 7a + 3b when a = 2 and b = 3.
  20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  21. 21.Solve: 2t = 12. What is t?
  22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  23. 23.Find the value of 3a + 9b when a = 10 and b = 10.
  24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  25. 25.Solve: m + 12 = 14. What is m?
  26. 26.Solve: 11m = 187. What is m?
  27. 27.Find the value of 9m − 18 when m = 4.
  28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  29. 29.Find the value of 7a + 6b when a = 8 and b = 5.
  30. 30.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  31. 31.Tara has m laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) m + 9 (b) m ÷ 9 (c) m − 9 (d) 9m
  32. 32.Solve: x − 7 = 4. What is x?
  33. 33.Find the value of 2a + 4b when a = 4 and b = 6.
  34. 34.Solve: n + 6 = 12. What is n?
  35. 35.Find the value of 3a + 5b when a = 3 and b = 10.
  36. 36.Find the value of 2a + 8b when a = 10 and b = 3.
  37. 37.Saanvi has n pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) n + 5 (b) n − 5 (c) n ÷ 5 (d) 5n
  38. 38.Solve: 5p = 55. What is p?
  39. 39.Find the value of 9m − 24 when m = 5.
  40. 40.Solve: t − 7 = 3. What is t?

Answer key

  1. 11
  2. 25
  3. 14
  4. 10
  5. 34
  6. k − 5
  7. 11
  8. 3
  9. 39
  10. 17
  11. 36
  12. 18
  13. 2
  14. 34
  15. 42
  16. 13
  17. p + 3
  18. 18
  19. 23
  20. 10
  21. 6
  22. 78
  23. 120
  24. 15
  25. 2
  26. 17
  27. 18
  28. 22
  29. 86
  30. 32
  31. m + 9
  32. 11
  33. 32
  34. 6
  35. 59
  36. 44
  37. n − 5
  38. 11
  39. 21
  40. 10

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