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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 61 · 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 6m − 2 when m = 1.
  2. 2.Find the value of 8x − 65 when x = 10.
  3. 3.Find the value of 7y + 20 when y = 3.
  4. 4.Sneha has m pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) 8m (b) m − 8 (c) m + 8 (d) m ÷ 8
  5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  6. 6.Find the value of 5m − 14 when m = 8.
  7. 7.Gurpreet has k crayons. A friend has 3 times as many. Which expression shows how many crayons the friend has? (a) k ÷ 3 (b) k + 3 (c) k − 3 (d) 3k
  8. 8.Solve: x + 7 = 11. What is x?
  9. 9.Find the value of 4t + 13 when t = 1.
  10. 10.Zoya has m balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) m + 9 (b) m − 9 (c) 9m (d) m ÷ 9
  11. 11.Find the value of 5a + 2b when a = 3 and b = 10.
  12. 12.Ananya shares m marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) m + 9 (b) 9m (c) m ÷ 9 (d) m − 9
  13. 13.Find the value of 6m − 24 when m = 7.
  14. 14.Solve: m ÷ 8 = 11. What is m?
  15. 15.Find the value of 8m − 11 when m = 2.
  16. 16.Find the value of 7n − 8 when n = 2.
  17. 17.Find the value of 2a + 8b when a = 6 and b = 5.
  18. 18.Find the value of 4n + 15 when n = 11.
  19. 19.Solve: 9m = 162. What is m?
  20. 20.Manav has m books. A friend has 3 more. Which expression shows how many books the friend has? (a) m + 3 (b) 3m (c) m − 3 (d) m ÷ 3
  21. 21.Solve: 4p = 60. What is p?
  22. 22.Find the value of 3x + 8 when x = 1.
  23. 23.Solve: 5m = 60. What is m?
  24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  25. 25.Isha has k balloons. A friend has 7 more. Which expression shows how many balloons the friend has? (a) 7k (b) k ÷ 7 (c) k + 7 (d) k − 7
  26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  27. 27.Find the value of 8n − 15 when n = 2.
  28. 28.Find the value of 8n − 58 when n = 8.
  29. 29.Kavya has m bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) m − 2 (b) 2m (c) m ÷ 2 (d) m + 2
  30. 30.Solve: y ÷ 8 = 18. What is y?
  31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  32. 32.Gurpreet has k laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) k − 3 (b) k + 3 (c) 3k (d) k ÷ 3
  33. 33.Find the value of 7t + 5 when t = 3.
  34. 34.Find the value of 6x + 1 when x = 10.
  35. 35.Solve: t + 10 = 11. What is t?
  36. 36.Solve: m − 3 = 8. What is m?
  37. 37.Find the value of 2a + 5b when a = 7 and b = 2.
  38. 38.Find the value of 2a + 6b when a = 10 and b = 9.
  39. 39.Find the value of 9a + 2b when a = 10 and b = 3.
  40. 40.Find the value of 8x − 16 when x = 7.

Answer key

  1. 4
  2. 15
  3. 41
  4. m + 8
  5. 14
  6. 26
  7. 3k
  8. 4
  9. 17
  10. 9m
  11. 35
  12. m ÷ 9
  13. 18
  14. 88
  15. 5
  16. 6
  17. 52
  18. 59
  19. 18
  20. m + 3
  21. 15
  22. 11
  23. 12
  24. 56
  25. k + 7
  26. 60
  27. 1
  28. 6
  29. m + 2
  30. 144
  31. 52
  32. k + 3
  33. 26
  34. 61
  35. 1
  36. 11
  37. 24
  38. 74
  39. 96
  40. 40

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