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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 414 · 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: m + 5 = 6. What is m?
  2. 2.Solve: x + 12 = 14. What is x?
  3. 3.Find the value of 7n + 17 when n = 12.
  4. 4.Solve: t ÷ 4 = 3. What is t?
  5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  6. 6.Solve: y ÷ 11 = 19. What is y?
  7. 7.Solve: m + 10 = 23. What is m?
  8. 8.Find the value of 2a + 7b when a = 5 and b = 5.
  9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
  10. 10.Find the value of 3y − 20 when y = 12.
  11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  12. 12.Find the value of 9a + 5b when a = 2 and b = 2.
  13. 13.Find the value of 4p − 14 when p = 8.
  14. 14.Solve: y ÷ 3 = 15. What is y?
  15. 15.Find the value of 3y − 24 when y = 11.
  16. 16.Find the value of 3a + 2b when a = 1 and b = 9.
  17. 17.Solve: t − 8 = 15. What is t?
  18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
  19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  20. 20.Solve: t ÷ 12 = 15. What is t?
  21. 21.Solve: m − 9 = 13. What is m?
  22. 22.Find the value of 7a + 9b when a = 2 and b = 4.
  23. 23.Solve: m + 10 = 19. What is m?
  24. 24.Find the value of 6a + 2b when a = 2 and b = 9.
  25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  26. 26.Solve: 3p = 42. What is p?
  27. 27.Dev has p pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) p ÷ 2 (b) 2p (c) p + 2 (d) p − 2
  28. 28.Solve: y + 2 = 3. What is y?
  29. 29.Find the value of 2y + 19 when y = 3.
  30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  31. 31.Kavya has k balloons. A friend has 9 times as many. Which expression shows how many balloons the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
  32. 32.Find the value of 9m + 4 when m = 12.
  33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  34. 34.Solve: y − 3 = 7. What is y?
  35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  36. 36.Manav has m books. A friend has 9 times as many. Which expression shows how many books the friend has? (a) m ÷ 9 (b) m + 9 (c) 9m (d) m − 9
  37. 37.Meera has p balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) p ÷ 9 (b) p + 9 (c) p − 9 (d) 9p
  38. 38.Solve: 8y = 120. What is y?
  39. 39.Solve: y − 2 = 7. What is y?
  40. 40.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?

Answer key

  1. 1
  2. 2
  3. 101
  4. 12
  5. 84
  6. 209
  7. 13
  8. 45
  9. 64
  10. 16
  11. 39
  12. 28
  13. 18
  14. 45
  15. 9
  16. 21
  17. 23
  18. 76
  19. 38
  20. 180
  21. 22
  22. 50
  23. 9
  24. 30
  25. 36
  26. 14
  27. p − 2
  28. 1
  29. 25
  30. 40
  31. 9k
  32. 112
  33. 51
  34. 10
  35. 15
  36. 9m
  37. p + 9
  38. 15
  39. 9
  40. 27

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