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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 216 · 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 7n + 19 when n = 8.
  2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  3. 3.Solve: m ÷ 8 = 15. What is m?
  4. 4.Farhan has m flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) m − 9 (b) 9m (c) m ÷ 9 (d) m + 9
  5. 5.Solve: y ÷ 4 = 15. What is y?
  6. 6.Solve: 7n = 49. What is n?
  7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  8. 8.Find the value of 2a + 7b when a = 1 and b = 2.
  9. 9.Lakshmi has k bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) k − 4 (b) k + 4 (c) 4k (d) k ÷ 4
  10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  11. 11.Solve: y + 4 = 23. What is y?
  12. 12.Find the value of 2p + 18 when p = 6.
  13. 13.Find the value of 2n + 18 when n = 3.
  14. 14.Solve: y − 8 = 8. What is y?
  15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  16. 16.Find the value of 3a + 5b when a = 2 and b = 2.
  17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  19. 19.Solve: y − 4 = 9. What is y?
  20. 20.Find the value of 4p − 13 when p = 4.
  21. 21.Find the value of 3a + 3b when a = 1 and b = 10.
  22. 22.Find the value of 4a + 3b when a = 1 and b = 5.
  23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
  24. 24.Saanvi has n balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) n − 8 (b) n ÷ 8 (c) 8n (d) n + 8
  25. 25.Find the value of 4a + 8b when a = 3 and b = 6.
  26. 26.Find the value of 4y − 2 when y = 2.
  27. 27.Solve: p + 5 = 13. What is p?
  28. 28.Solve: y + 2 = 14. What is y?
  29. 29.Find the value of 5a + 3b when a = 10 and b = 7.
  30. 30.Find the value of 3t + 15 when t = 2.
  31. 31.Find the value of 6a + 3b when a = 8 and b = 1.
  32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  33. 33.Solve: y + 12 = 29. What is y?
  34. 34.Solve: n ÷ 4 = 10. What is n?
  35. 35.Solve: 3t = 21. What is t?
  36. 36.Find the value of 8y − 31 when y = 8.
  37. 37.Solve: m − 8 = 9. What is m?
  38. 38.Find the value of 2a + 3b when a = 3 and b = 3.
  39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
  40. 40.Isha has p bananas. A friend has 6 times as many. Which expression shows how many bananas the friend has? (a) p − 6 (b) p + 6 (c) p ÷ 6 (d) 6p

Answer key

  1. 75
  2. 51
  3. 120
  4. m + 9
  5. 60
  6. 7
  7. 24
  8. 16
  9. 4k
  10. 50
  11. 19
  12. 30
  13. 24
  14. 16
  15. 33
  16. 16
  17. 63
  18. 30
  19. 13
  20. 3
  21. 33
  22. 19
  23. 76
  24. n + 8
  25. 60
  26. 6
  27. 8
  28. 12
  29. 71
  30. 21
  31. 51
  32. 57
  33. 17
  34. 40
  35. 7
  36. 33
  37. 17
  38. 15
  39. 20
  40. 6p

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