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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 162 · 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 3a + 9b when a = 4 and b = 7.
  2. 2.Solve: 11y = 55. What is y?
  3. 3.Find the value of 5a + 6b when a = 7 and b = 6.
  4. 4.Find the value of 8x + 9 when x = 3.
  5. 5.Find the value of 5p − 46 when p = 11.
  6. 6.Find the value of 7t − 2 when t = 1.
  7. 7.Find the value of 7a + 3b when a = 6 and b = 2.
  8. 8.Rohan has m balls. A friend has 8 times as many. Which expression shows how many balls the friend has? (a) m − 8 (b) m ÷ 8 (c) m + 8 (d) 8m
  9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
  10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  11. 11.Find the value of 8y + 16 when y = 1.
  12. 12.Find the value of 7n − 21 when n = 6.
  13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  14. 14.Dev has n pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) n ÷ 5 (b) n − 5 (c) n + 5 (d) 5n
  15. 15.Find the value of 5m + 17 when m = 11.
  16. 16.Solve: y − 8 = 13. What is y?
  17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
  18. 18.Solve: n − 11 = 3. What is n?
  19. 19.Find the value of 2m − 4 when m = 5.
  20. 20.Isha shares p crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) p − 7 (b) p + 7 (c) 7p (d) p ÷ 7
  21. 21.Solve: y + 2 = 21. What is y?
  22. 22.Solve: y + 2 = 17. What is y?
  23. 23.Solve: x + 10 = 25. What is x?
  24. 24.Solve: p + 6 = 25. What is p?
  25. 25.Find the value of 9a + 4b when a = 3 and b = 3.
  26. 26.Find the value of 5a + 3b when a = 8 and b = 5.
  27. 27.Find the value of 3a + 3b when a = 4 and b = 2.
  28. 28.Solve: x − 2 = 5. What is x?
  29. 29.Solve: y − 5 = 12. What is y?
  30. 30.Solve: p − 4 = 18. What is p?
  31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
  32. 32.Find the value of 9m − 33 when m = 4.
  33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  34. 34.Find the value of 6x − 20 when x = 4.
  35. 35.Find the value of 6p + 8 when p = 4.
  36. 36.Find the value of 3y + 17 when y = 2.
  37. 37.Find the value of 3p + 15 when p = 8.
  38. 38.Find the value of 7t − 2 when t = 2.
  39. 39.Find the value of 6a + 3b when a = 4 and b = 9.
  40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?

Answer key

  1. 75
  2. 5
  3. 71
  4. 33
  5. 9
  6. 5
  7. 48
  8. 8m
  9. 68
  10. 51
  11. 24
  12. 21
  13. 16
  14. n + 5
  15. 72
  16. 21
  17. 104
  18. 14
  19. 6
  20. p ÷ 7
  21. 19
  22. 15
  23. 15
  24. 19
  25. 39
  26. 55
  27. 18
  28. 7
  29. 17
  30. 22
  31. 56
  32. 3
  33. 42
  34. 4
  35. 32
  36. 23
  37. 39
  38. 12
  39. 51
  40. 112

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