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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 242 · 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 5y + 11 when y = 7.
  2. 2.Find the value of 3n − 1 when n = 1.
  3. 3.Find the value of 2a + 7b when a = 9 and b = 4.
  4. 4.Find the value of 6x − 37 when x = 11.
  5. 5.Find the value of 8m − 7 when m = 12.
  6. 6.Find the value of 4p + 10 when p = 1.
  7. 7.Solve: t + 10 = 26. What is t?
  8. 8.Find the value of 5a + 4b when a = 8 and b = 5.
  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.Find the value of 4t + 2 when t = 8.
  11. 11.Diya has m crayons. A friend has 5 times as many. Which expression shows how many crayons the friend has? (a) 5m (b) m + 5 (c) m ÷ 5 (d) m − 5
  12. 12.Solve: 6n = 102. What is n?
  13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
  14. 14.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  16. 16.Find the value of 3a + 7b when a = 5 and b = 5.
  17. 17.Solve: 2p = 4. What is p?
  18. 18.Vivaan has p kites. A friend has 4 times as many. Which expression shows how many kites the friend has? (a) p − 4 (b) 4p (c) p + 4 (d) p ÷ 4
  19. 19.Find the value of 6a + 5b when a = 9 and b = 2.
  20. 20.Find the value of 9x + 16 when x = 10.
  21. 21.Find the value of 6x + 8 when x = 7.
  22. 22.Find the value of 2a + 7b when a = 8 and b = 6.
  23. 23.Rohan shares m balloons equally among 5 friends. Which expression shows how many balloons each friend gets? (a) m + 5 (b) 5m (c) m − 5 (d) m ÷ 5
  24. 24.Find the value of 4a + 9b when a = 7 and b = 3.
  25. 25.Find the value of 7a + 9b when a = 3 and b = 4.
  26. 26.Find the value of 6a + 4b when a = 2 and b = 1.
  27. 27.Solve: t − 7 = 2. What is t?
  28. 28.Meera has k shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) 4k (b) k − 4 (c) k ÷ 4 (d) k + 4
  29. 29.Find the value of 3a + 2b when a = 1 and b = 6.
  30. 30.Find the value of 5p − 8 when p = 12.
  31. 31.Solve: x ÷ 2 = 1. What is x?
  32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  33. 33.Find the value of 4a + 5b when a = 4 and b = 2.
  34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  35. 35.Solve: n ÷ 6 = 11. What is n?
  36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  37. 37.Find the value of 7m − 20 when m = 11.
  38. 38.Solve: y − 6 = 6. What is y?
  39. 39.Find the value of 3y − 1 when y = 2.
  40. 40.Find the value of 9a + 2b when a = 8 and b = 1.

Answer key

  1. 46
  2. 2
  3. 46
  4. 29
  5. 89
  6. 14
  7. 16
  8. 60
  9. 68
  10. 34
  11. 5m
  12. 17
  13. 52
  14. 75
  15. 50
  16. 50
  17. 2
  18. 4p
  19. 64
  20. 106
  21. 50
  22. 58
  23. m ÷ 5
  24. 55
  25. 57
  26. 16
  27. 9
  28. k + 4
  29. 15
  30. 52
  31. 2
  32. 26
  33. 26
  34. 24
  35. 66
  36. 63
  37. 57
  38. 12
  39. 5
  40. 74

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