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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 111 · 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 5a + 5b when a = 3 and b = 10.
  2. 2.Solve: p + 10 = 13. What is p?
  3. 3.Farhan has n marbles. A friend has 6 more. Which expression shows how many marbles the friend has? (a) n + 6 (b) n − 6 (c) n ÷ 6 (d) 6n
  4. 4.Manav has p balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) p − 5 (b) p ÷ 5 (c) 5p (d) p + 5
  5. 5.Find the value of 8a + 3b when a = 7 and b = 1.
  6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
  7. 7.Find the value of 2a + 6b when a = 8 and b = 10.
  8. 8.Find the value of 7a + 7b when a = 4 and b = 1.
  9. 9.Find the value of 5a + 3b when a = 2 and b = 6.
  10. 10.Find the value of 8a + 9b when a = 1 and b = 10.
  11. 11.Solve: y + 3 = 8. What is y?
  12. 12.Solve: p ÷ 11 = 6. What is p?
  13. 13.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  14. 14.Solve: t + 6 = 9. What is t?
  15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  16. 16.Isha has k bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
  17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  18. 18.Isha has k mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
  19. 19.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  20. 20.Find the value of 5a + 4b when a = 1 and b = 10.
  21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  22. 22.Kabir has m balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) m − 3 (b) m + 3 (c) m ÷ 3 (d) 3m
  23. 23.Find the value of 8a + 8b when a = 10 and b = 5.
  24. 24.Tara has k bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) k − 8 (b) 8k (c) k + 8 (d) k ÷ 8
  25. 25.Kabir has m crayons. A friend has 4 times as many. Which expression shows how many crayons the friend has? (a) m ÷ 4 (b) m + 4 (c) m − 4 (d) 4m
  26. 26.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  27. 27.Find the value of 8t + 3 when t = 2.
  28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  29. 29.Solve: 3m = 15. What is m?
  30. 30.Manav shares k kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) k − 8 (b) k ÷ 8 (c) k + 8 (d) 8k
  31. 31.Find the value of 4x − 31 when x = 8.
  32. 32.Diya shares m flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) m ÷ 3 (b) m − 3 (c) m + 3 (d) 3m
  33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  34. 34.Farhan has m mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) m + 2 (b) 2m (c) m ÷ 2 (d) m − 2
  35. 35.Diya has p shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) p − 7 (b) p + 7 (c) p ÷ 7 (d) 7p
  36. 36.Find the value of 9a + 7b when a = 1 and b = 2.
  37. 37.Find the value of 2m − 5 when m = 5.
  38. 38.Kavya has p books. A friend has 4 more. Which expression shows how many books the friend has? (a) p + 4 (b) p ÷ 4 (c) p − 4 (d) 4p
  39. 39.Find the value of 3t − 7 when t = 11.
  40. 40.Riya has p books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) p + 2 (b) p − 2 (c) p ÷ 2 (d) 2p

Answer key

  1. 65
  2. 3
  3. n + 6
  4. p − 5
  5. 59
  6. 24
  7. 76
  8. 35
  9. 28
  10. 98
  11. 5
  12. 66
  13. 81
  14. 3
  15. 66
  16. k + 2
  17. 12
  18. k − 2
  19. 40
  20. 45
  21. 60
  22. 3m
  23. 120
  24. k + 8
  25. 4m
  26. 48
  27. 19
  28. 60
  29. 5
  30. k ÷ 8
  31. 1
  32. m ÷ 3
  33. 21
  34. m + 2
  35. p + 7
  36. 23
  37. 5
  38. p + 4
  39. 26
  40. 2p

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