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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 103 · 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 V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  2. 2.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  3. 3.Tara has m flowers. A friend has 7 times as many. Which expression shows how many flowers the friend has? (a) m ÷ 7 (b) m − 7 (c) 7m (d) m + 7
  4. 4.Find the value of 4x − 15 when x = 9.
  5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  6. 6.Find the value of 6y − 45 when y = 10.
  7. 7.Find the value of 4a + 2b when a = 2 and b = 6.
  8. 8.Solve: m + 8 = 13. What is m?
  9. 9.Solve: t + 3 = 9. What is t?
  10. 10.Solve: p ÷ 8 = 20. What is p?
  11. 11.Solve: m + 4 = 11. What is m?
  12. 12.Find the value of 6a + 3b when a = 6 and b = 8.
  13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  14. 14.Find the value of 3y + 16 when y = 11.
  15. 15.Solve: p ÷ 3 = 13. What is p?
  16. 16.Find the value of 5a + 2b when a = 7 and b = 7.
  17. 17.Solve: y − 8 = 16. What is y?
  18. 18.Solve: p + 11 = 12. What is p?
  19. 19.Kabir has m flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) m − 2 (b) 2m (c) m ÷ 2 (d) m + 2
  20. 20.Find the value of 9a + 3b when a = 4 and b = 6.
  21. 21.Find the value of 2a + 9b when a = 9 and b = 3.
  22. 22.Find the value of 4y + 16 when y = 6.
  23. 23.Find the value of 6a + 9b when a = 9 and b = 10.
  24. 24.Find the value of 3a + 5b when a = 3 and b = 8.
  25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  26. 26.Solve: 10t = 140. What is t?
  27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  28. 28.Solve: x + 2 = 20. What is x?
  29. 29.Find the value of 5x + 4 when x = 9.
  30. 30.Solve: 11p = 143. What is p?
  31. 31.Priya has p pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) 4p (b) p − 4 (c) p + 4 (d) p ÷ 4
  32. 32.Solve: 3x = 30. What is x?
  33. 33.Solve: p ÷ 3 = 17. What is p?
  34. 34.Isha shares p laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) p + 2 (b) p − 2 (c) 2p (d) p ÷ 2
  35. 35.Find the value of 2a + 4b when a = 6 and b = 3.
  36. 36.Solve: 9n = 54. What is n?
  37. 37.Solve: n + 4 = 6. What is n?
  38. 38.Find the value of 7a + 3b when a = 7 and b = 8.
  39. 39.Solve: n + 12 = 24. What is n?
  40. 40.Find the value of 4p + 16 when p = 7.

Answer key

  1. 30
  2. 12
  3. 7m
  4. 21
  5. 75
  6. 15
  7. 20
  8. 5
  9. 6
  10. 160
  11. 7
  12. 60
  13. 32
  14. 49
  15. 39
  16. 49
  17. 24
  18. 1
  19. m + 2
  20. 54
  21. 45
  22. 40
  23. 144
  24. 49
  25. 75
  26. 14
  27. 48
  28. 18
  29. 49
  30. 13
  31. p + 4
  32. 10
  33. 51
  34. p ÷ 2
  35. 24
  36. 6
  37. 2
  38. 73
  39. 12
  40. 44

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