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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 606 · 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 7a + 9b when a = 10 and b = 5.
  2. 2.Find the value of 9x + 7 when x = 2.
  3. 3.Solve: m − 8 = 4. What is m?
  4. 4.Find the value of 6a + 7b when a = 5 and b = 7.
  5. 5.Find the value of 7m − 4 when m = 2.
  6. 6.Find the value of 5a + 3b when a = 2 and b = 6.
  7. 7.Aarav has m marbles. A friend has 6 times as many. Which expression shows how many marbles the friend has? (a) m + 6 (b) 6m (c) m − 6 (d) m ÷ 6
  8. 8.Solve: n − 6 = 2. What is n?
  9. 9.Rahul has n books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) n − 9 (b) n + 9 (c) 9n (d) n ÷ 9
  10. 10.Find the value of 6a + 7b when a = 6 and b = 6.
  11. 11.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  12. 12.Solve: m ÷ 5 = 10. What is m?
  13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  14. 14.Find the value of 2n + 15 when n = 12.
  15. 15.Solve: 8x = 112. What is x?
  16. 16.Kabir has n crayons. A friend has 2 fewer. Which expression shows how many crayons the friend has? (a) 2n (b) n + 2 (c) n − 2 (d) n ÷ 2
  17. 17.Find the value of 6a + 3b when a = 1 and b = 10.
  18. 18.Riya has k books. A friend has 4 more. Which expression shows how many books the friend has? (a) 4k (b) k + 4 (c) k ÷ 4 (d) k − 4
  19. 19.Find the value of 3a + 4b when a = 1 and b = 1.
  20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  21. 21.Arjun has p pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) p − 6 (b) p + 6 (c) p ÷ 6 (d) 6p
  22. 22.Find the value of 2n − 3 when n = 5.
  23. 23.Find the value of 9p − 33 when p = 4.
  24. 24.Find the value of 4a + 4b when a = 9 and b = 6.
  25. 25.Solve: n ÷ 4 = 3. What is n?
  26. 26.Find the value of 9x − 19 when x = 4.
  27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  28. 28.Find the value of 5m + 11 when m = 3.
  29. 29.Find the value of 6a + 4b when a = 7 and b = 7.
  30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
  31. 31.Solve: m + 11 = 26. What is m?
  32. 32.Find the value of 9a + 9b when a = 3 and b = 2.
  33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  34. 34.Find the value of 2x − 3 when x = 5.
  35. 35.Find the value of 4a + 7b when a = 9 and b = 4.
  36. 36.Find the value of 7a + 3b when a = 8 and b = 2.
  37. 37.Find the value of 2y + 20 when y = 9.
  38. 38.Find the value of 5a + 8b when a = 8 and b = 1.
  39. 39.Manav has k kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) k ÷ 3 (b) k − 3 (c) k + 3 (d) 3k
  40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?

Answer key

  1. 115
  2. 25
  3. 12
  4. 79
  5. 10
  6. 28
  7. 6m
  8. 8
  9. n − 9
  10. 78
  11. 72
  12. 50
  13. 32
  14. 39
  15. 14
  16. n − 2
  17. 36
  18. k + 4
  19. 7
  20. 40
  21. p − 6
  22. 7
  23. 3
  24. 60
  25. 12
  26. 17
  27. 56
  28. 26
  29. 70
  30. 116
  31. 15
  32. 45
  33. 15
  34. 7
  35. 64
  36. 62
  37. 38
  38. 48
  39. k + 3
  40. 32

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