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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 228 · 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 U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  2. 2.Find the value of 4x − 10 when x = 4.
  3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  4. 4.Find the value of 9a + 6b when a = 8 and b = 8.
  5. 5.Find the value of 3m − 10 when m = 6.
  6. 6.Solve: t + 11 = 25. What is t?
  7. 7.Find the value of 9a + 7b when a = 6 and b = 9.
  8. 8.Solve: t + 2 = 8. What is t?
  9. 9.Find the value of 4a + 4b when a = 7 and b = 1.
  10. 10.Kabir has k kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) 3k (b) k − 3 (c) k + 3 (d) k ÷ 3
  11. 11.Find the value of 6a + 9b when a = 1 and b = 3.
  12. 12.Solve: p + 2 = 11. What is p?
  13. 13.Solve: m + 5 = 8. What is m?
  14. 14.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  16. 16.Solve: y − 5 = 7. What is y?
  17. 17.Farhan has m marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) m + 2 (b) m ÷ 2 (c) 2m (d) m − 2
  18. 18.Find the value of 9a + 4b when a = 1 and b = 6.
  19. 19.Find the value of 4a + 2b when a = 10 and b = 6.
  20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  21. 21.Solve: m + 2 = 6. What is m?
  22. 22.Find the value of 4m + 11 when m = 5.
  23. 23.Farhan has p pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) p − 5 (b) 5p (c) p + 5 (d) p ÷ 5
  24. 24.Arjun has m books. A friend has 4 fewer. Which expression shows how many books the friend has? (a) 4m (b) m ÷ 4 (c) m − 4 (d) m + 4
  25. 25.Find the value of 9a + 9b when a = 10 and b = 3.
  26. 26.Find the value of 8a + 6b when a = 10 and b = 9.
  27. 27.Find the value of 8a + 3b when a = 10 and b = 5.
  28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  29. 29.Find the value of 4m + 3 when m = 1.
  30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  31. 31.Find the value of 4a + 9b when a = 2 and b = 10.
  32. 32.Solve: n ÷ 5 = 8. What is n?
  33. 33.Find the value of 8a + 3b when a = 6 and b = 8.
  34. 34.Find the value of 2m + 8 when m = 4.
  35. 35.Solve: p + 4 = 8. What is p?
  36. 36.Sneha has k pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) k ÷ 5 (b) 5k (c) k + 5 (d) k − 5
  37. 37.Solve: 2x = 38. What is x?
  38. 38.Solve: m + 7 = 23. What is m?
  39. 39.Find the value of 5a + 6b when a = 10 and b = 3.
  40. 40.Find the value of 7p − 17 when p = 4.

Answer key

  1. 69
  2. 6
  3. 50
  4. 120
  5. 8
  6. 14
  7. 117
  8. 6
  9. 32
  10. 3k
  11. 33
  12. 9
  13. 3
  14. 51
  15. 18
  16. 12
  17. m + 2
  18. 33
  19. 52
  20. 58
  21. 4
  22. 31
  23. p + 5
  24. m − 4
  25. 117
  26. 134
  27. 95
  28. 14
  29. 7
  30. 75
  31. 98
  32. 40
  33. 72
  34. 16
  35. 4
  36. k + 5
  37. 19
  38. 16
  39. 68
  40. 11

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