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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 333 · 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 L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  2. 2.Find the value of 8x − 71 when x = 11.
  3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  4. 4.Find the value of 6a + 5b when a = 10 and b = 8.
  5. 5.Find the value of 3a + 8b when a = 2 and b = 1.
  6. 6.Find the value of 3t + 6 when t = 9.
  7. 7.Find the value of 6t − 7 when t = 7.
  8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
  9. 9.Find the value of 2a + 3b when a = 5 and b = 6.
  10. 10.Meera shares m balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) m + 4 (b) 4m (c) m ÷ 4 (d) m − 4
  11. 11.Solve: p ÷ 12 = 8. What is p?
  12. 12.Solve: 5n = 90. What is n?
  13. 13.Dev has k marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) 2k (b) k + 2 (c) k − 2 (d) k ÷ 2
  14. 14.Solve: y + 4 = 5. What is y?
  15. 15.Find the value of 3a + 5b when a = 2 and b = 9.
  16. 16.Find the value of 6m + 4 when m = 2.
  17. 17.Dev has m pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) m + 5 (b) m − 5 (c) 5m (d) m ÷ 5
  18. 18.Find the value of 3a + 7b when a = 3 and b = 7.
  19. 19.Solve: x ÷ 2 = 9. What is x?
  20. 20.Find the value of 2a + 8b when a = 8 and b = 1.
  21. 21.Find the value of 7t + 2 when t = 2.
  22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
  23. 23.Solve: x − 8 = 18. What is x?
  24. 24.Solve: 5p = 25. What is p?
  25. 25.Solve: m − 6 = 7. What is m?
  26. 26.Saanvi has p mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) p − 3 (b) p + 3 (c) p ÷ 3 (d) 3p
  27. 27.Find the value of 2a + 9b when a = 10 and b = 2.
  28. 28.Find the value of 5y + 13 when y = 8.
  29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
  30. 30.Find the value of 5a + 6b when a = 3 and b = 7.
  31. 31.Find the value of 5y − 8 when y = 8.
  32. 32.Find the value of 4a + 9b when a = 1 and b = 3.
  33. 33.Find the value of 6a + 9b when a = 2 and b = 7.
  34. 34.Find the value of 7a + 6b when a = 3 and b = 2.
  35. 35.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  37. 37.Find the value of 7x − 37 when x = 8.
  38. 38.Find the value of 2a + 3b when a = 2 and b = 2.
  39. 39.Solve: m + 12 = 14. What is m?
  40. 40.Solve: p ÷ 9 = 14. What is p?

Answer key

  1. 30
  2. 17
  3. 10
  4. 100
  5. 14
  6. 33
  7. 35
  8. 100
  9. 28
  10. m ÷ 4
  11. 96
  12. 18
  13. k + 2
  14. 1
  15. 51
  16. 16
  17. m + 5
  18. 58
  19. 18
  20. 24
  21. 16
  22. 116
  23. 26
  24. 5
  25. 13
  26. 3p
  27. 38
  28. 53
  29. 120
  30. 57
  31. 32
  32. 31
  33. 75
  34. 33
  35. 45
  36. 78
  37. 19
  38. 10
  39. 2
  40. 126

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