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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 62 · 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.Solve: n ÷ 7 = 1. What is n?
  2. 2.Saanvi has p pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) p + 2 (b) p ÷ 2 (c) 2p (d) p − 2
  3. 3.Solve: t − 5 = 9. What is t?
  4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  5. 5.Find the value of 6m + 16 when m = 5.
  6. 6.Find the value of 4a + 8b when a = 10 and b = 7.
  7. 7.Solve: n ÷ 3 = 7. What is n?
  8. 8.Solve: 6t = 120. What is t?
  9. 9.Find the value of 2a + 7b when a = 8 and b = 1.
  10. 10.Solve: p ÷ 8 = 13. What is p?
  11. 11.Find the value of 6a + 8b when a = 3 and b = 1.
  12. 12.Find the value of 8y − 3 when y = 4.
  13. 13.Find the value of 2x − 16 when x = 10.
  14. 14.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  16. 16.Find the value of 8m + 13 when m = 12.
  17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  18. 18.Find the value of 7y + 8 when y = 1.
  19. 19.Find the value of 4t + 7 when t = 3.
  20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
  21. 21.Find the value of 8a + 8b when a = 7 and b = 3.
  22. 22.Find the value of 2p − 3 when p = 2.
  23. 23.Vivaan has p balls. A friend has 6 times as many. Which expression shows how many balls the friend has? (a) p + 6 (b) p ÷ 6 (c) p − 6 (d) 6p
  24. 24.Find the value of 4a + 7b when a = 9 and b = 2.
  25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  26. 26.Find the value of 2p − 6 when p = 7.
  27. 27.Find the value of 9p − 5 when p = 6.
  28. 28.Find the value of 5n + 9 when n = 9.
  29. 29.Nisha has m crayons. A friend has 4 times as many. Which expression shows how many crayons the friend has? (a) m − 4 (b) m + 4 (c) m ÷ 4 (d) 4m
  30. 30.Find the value of 2a + 9b when a = 1 and b = 6.
  31. 31.Rohan shares p marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) 7p (b) p + 7 (c) p ÷ 7 (d) p − 7
  32. 32.Find the value of 2a + 4b when a = 2 and b = 7.
  33. 33.Find the value of 5m + 7 when m = 12.
  34. 34.Find the value of 2a + 8b when a = 5 and b = 10.
  35. 35.Rahul has p books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) p − 3 (b) 3p (c) p + 3 (d) p ÷ 3
  36. 36.Solve: x + 6 = 25. What is x?
  37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  38. 38.Find the value of 9a + 4b when a = 5 and b = 4.
  39. 39.Solve: m + 10 = 28. What is m?
  40. 40.Find the value of 9a + 2b when a = 9 and b = 9.

Answer key

  1. 7
  2. p − 2
  3. 14
  4. 24
  5. 46
  6. 96
  7. 21
  8. 20
  9. 23
  10. 104
  11. 26
  12. 29
  13. 4
  14. 33
  15. 48
  16. 109
  17. 15
  18. 15
  19. 19
  20. 20
  21. 80
  22. 1
  23. 6p
  24. 50
  25. 40
  26. 8
  27. 49
  28. 54
  29. 4m
  30. 56
  31. p ÷ 7
  32. 32
  33. 67
  34. 90
  35. 3p
  36. 19
  37. 90
  38. 61
  39. 18
  40. 99

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