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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 342 · 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.Ananya has k bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) 8k (b) k − 8 (c) k + 8 (d) k ÷ 8
  2. 2.Find the value of 9a + 9b when a = 7 and b = 2.
  3. 3.Find the value of 9y − 19 when y = 12.
  4. 4.Solve: n ÷ 11 = 12. What is n?
  5. 5.Solve: 7n = 14. What is n?
  6. 6.Find the value of 6t − 42 when t = 12.
  7. 7.Find the value of 4x − 3 when x = 1.
  8. 8.Find the value of 4m − 17 when m = 7.
  9. 9.Find the value of 5a + 6b when a = 2 and b = 3.
  10. 10.Find the value of 8p − 20 when p = 3.
  11. 11.Find the value of 7y − 7 when y = 6.
  12. 12.Vivaan has k balls. A friend has 6 times as many. Which expression shows how many balls the friend has? (a) 6k (b) k + 6 (c) k − 6 (d) k ÷ 6
  13. 13.Find the value of 8a + 3b when a = 6 and b = 4.
  14. 14.Find the value of 5a + 5b when a = 2 and b = 7.
  15. 15.Solve: p ÷ 4 = 4. What is p?
  16. 16.Find the value of 9y + 12 when y = 4.
  17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  18. 18.Find the value of 8a + 8b when a = 3 and b = 8.
  19. 19.Find the value of 8a + 9b when a = 4 and b = 4.
  20. 20.Find the value of 7a + 2b when a = 9 and b = 7.
  21. 21.Find the value of 9n − 50 when n = 6.
  22. 22.Dev has p marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
  23. 23.Find the value of 6a + 6b when a = 9 and b = 7.
  24. 24.Find the value of 3a + 9b when a = 7 and b = 1.
  25. 25.Solve: p + 8 = 27. What is p?
  26. 26.Find the value of 4a + 3b when a = 9 and b = 3.
  27. 27.Solve: n ÷ 2 = 9. What is n?
  28. 28.Find the value of 4x − 12 when x = 7.
  29. 29.Find the value of 4m + 16 when m = 12.
  30. 30.Find the value of 3a + 9b when a = 6 and b = 9.
  31. 31.Find the value of 5n + 13 when n = 1.
  32. 32.Find the value of 9a + 6b when a = 8 and b = 9.
  33. 33.Find the value of 9m − 63 when m = 9.
  34. 34.Find the value of 3a + 5b when a = 3 and b = 7.
  35. 35.Find the value of 4t − 2 when t = 4.
  36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  37. 37.Solve: p − 9 = 11. What is p?
  38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  39. 39.Ishaan has m flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) m + 2 (b) 2m (c) m ÷ 2 (d) m − 2
  40. 40.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?

Answer key

  1. 8k
  2. 81
  3. 89
  4. 132
  5. 2
  6. 30
  7. 1
  8. 11
  9. 28
  10. 4
  11. 35
  12. 6k
  13. 60
  14. 45
  15. 16
  16. 48
  17. 39
  18. 88
  19. 68
  20. 77
  21. 4
  22. p + 2
  23. 96
  24. 30
  25. 19
  26. 45
  27. 18
  28. 16
  29. 64
  30. 99
  31. 18
  32. 126
  33. 18
  34. 44
  35. 14
  36. 24
  37. 20
  38. 18
  39. m − 2
  40. 75

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