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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 39 · 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.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  2. 2.Priya has n bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) n − 5 (b) 5n (c) n ÷ 5 (d) n + 5
  3. 3.Solve: t ÷ 2 = 17. What is t?
  4. 4.Solve: n + 3 = 12. What is n?
  5. 5.Find the value of 6a + 3b when a = 1 and b = 3.
  6. 6.Solve: y + 2 = 7. What is y?
  7. 7.Find the value of 3n − 1 when n = 11.
  8. 8.Solve: p − 9 = 8. What is p?
  9. 9.Solve: x ÷ 5 = 3. What is x?
  10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  11. 11.Find the value of 2a + 2b when a = 2 and b = 9.
  12. 12.Find the value of 8x − 11 when x = 8.
  13. 13.Solve: 11y = 99. What is y?
  14. 14.Solve: n + 2 = 9. What is n?
  15. 15.Find the value of 9p + 19 when p = 5.
  16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  17. 17.Riya has m pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) m − 9 (b) m + 9 (c) 9m (d) m ÷ 9
  18. 18.Solve: n + 7 = 15. What is n?
  19. 19.Lakshmi has k balloons. A friend has 4 times as many. Which expression shows how many balloons the friend has? (a) k + 4 (b) 4k (c) k ÷ 4 (d) k − 4
  20. 20.Find the value of 2p − 1 when p = 4.
  21. 21.Find the value of 3a + 8b when a = 1 and b = 10.
  22. 22.Find the value of 4a + 6b when a = 3 and b = 9.
  23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  24. 24.Find the value of 6n − 1 when n = 1.
  25. 25.Find the value of 6a + 8b when a = 1 and b = 9.
  26. 26.Solve: p ÷ 10 = 19. What is p?
  27. 27.Tara has n pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) n ÷ 6 (b) n − 6 (c) 6n (d) n + 6
  28. 28.Solve: 7y = 133. What is y?
  29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  30. 30.Solve: n + 2 = 4. What is n?
  31. 31.Ishaan shares n flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) n + 8 (b) n − 8 (c) 8n (d) n ÷ 8
  32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  33. 33.Find the value of 7a + 8b when a = 4 and b = 9.
  34. 34.Solve: m − 4 = 10. What is m?
  35. 35.Find the value of 7n − 9 when n = 2.
  36. 36.Find the value of 8x − 2 when x = 4.
  37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  38. 38.Find the value of 6a + 4b when a = 7 and b = 9.
  39. 39.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  40. 40.Find the value of 3p − 14 when p = 5.

Answer key

  1. 27
  2. n + 5
  3. 34
  4. 9
  5. 15
  6. 5
  7. 32
  8. 17
  9. 15
  10. 14
  11. 22
  12. 53
  13. 9
  14. 7
  15. 64
  16. 22
  17. m − 9
  18. 8
  19. 4k
  20. 7
  21. 83
  22. 66
  23. 36
  24. 5
  25. 78
  26. 190
  27. n − 6
  28. 19
  29. 42
  30. 2
  31. n ÷ 8
  32. 15
  33. 100
  34. 14
  35. 5
  36. 30
  37. 21
  38. 78
  39. 27
  40. 1

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