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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 475 · 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 4a + 7b when a = 5 and b = 1.
  2. 2.Find the value of 8t + 11 when t = 1.
  3. 3.Farhan has m balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
  4. 4.Pooja 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
  5. 5.Find the value of 2t + 15 when t = 6.
  6. 6.Find the value of 7a + 7b when a = 2 and b = 2.
  7. 7.Find the value of 3a + 5b when a = 8 and b = 10.
  8. 8.Find the value of 7t + 18 when t = 7.
  9. 9.Find the value of 2t + 1 when t = 4.
  10. 10.Solve: m ÷ 9 = 1. What is m?
  11. 11.Solve: n − 9 = 8. What is n?
  12. 12.Solve: p − 4 = 19. What is p?
  13. 13.Solve: p − 6 = 3. What is p?
  14. 14.Find the value of 2t − 6 when t = 5.
  15. 15.Meera has k balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) 3k (b) k ÷ 3 (c) k + 3 (d) k − 3
  16. 16.Find the value of 4a + 4b when a = 10 and b = 10.
  17. 17.Find the value of 3a + 9b when a = 10 and b = 10.
  18. 18.Find the value of 6a + 4b when a = 1 and b = 10.
  19. 19.Solve: n + 4 = 13. What is n?
  20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  21. 21.Find the value of 3t − 3 when t = 2.
  22. 22.Find the value of 4t − 3 when t = 5.
  23. 23.Kabir has k books. A friend has 4 more. Which expression shows how many books the friend has? (a) k ÷ 4 (b) k − 4 (c) k + 4 (d) 4k
  24. 24.Solve: m − 11 = 16. What is m?
  25. 25.Find the value of 3a + 3b when a = 10 and b = 1.
  26. 26.Find the value of 7y − 28 when y = 7.
  27. 27.Find the value of 8a + 5b when a = 2 and b = 5.
  28. 28.Find the value of 7a + 2b when a = 9 and b = 8.
  29. 29.Find the value of 4a + 4b when a = 3 and b = 3.
  30. 30.Find the value of 9a + 8b when a = 4 and b = 2.
  31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  32. 32.Find the value of 7a + 9b when a = 4 and b = 3.
  33. 33.Ishaan has n pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) 4n (b) n ÷ 4 (c) n + 4 (d) n − 4
  34. 34.Ishaan has p pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) p + 2 (b) p ÷ 2 (c) 2p (d) p − 2
  35. 35.Kavya has k laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) k ÷ 8 (b) k − 8 (c) k + 8 (d) 8k
  36. 36.Tara has m pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) m ÷ 5 (b) 5m (c) m + 5 (d) m − 5
  37. 37.Ishaan has m shells. A friend has 9 more. Which expression shows how many shells the friend has? (a) m − 9 (b) m + 9 (c) m ÷ 9 (d) 9m
  38. 38.Find the value of 3a + 7b when a = 10 and b = 3.
  39. 39.Find the value of 5m + 16 when m = 1.
  40. 40.Find the value of 2t − 8 when t = 5.

Answer key

  1. 27
  2. 19
  3. 4m
  4. p − 4
  5. 27
  6. 28
  7. 74
  8. 67
  9. 9
  10. 9
  11. 17
  12. 23
  13. 9
  14. 4
  15. k + 3
  16. 80
  17. 120
  18. 46
  19. 9
  20. 54
  21. 3
  22. 17
  23. k + 4
  24. 27
  25. 33
  26. 21
  27. 41
  28. 79
  29. 24
  30. 52
  31. 30
  32. 55
  33. n − 4
  34. p + 2
  35. k − 8
  36. m + 5
  37. m + 9
  38. 51
  39. 21
  40. 2

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