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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 85 · 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 + 12 = 20. What is m?
  2. 2.Solve: y ÷ 7 = 10. What is y?
  3. 3.Find the value of 7n + 4 when n = 3.
  4. 4.Solve: t − 4 = 6. What is t?
  5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
  6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
  8. 8.Find the value of 4p + 2 when p = 9.
  9. 9.Diya has n mangoes. A friend has 9 times as many. Which expression shows how many mangoes the friend has? (a) n + 9 (b) n − 9 (c) 9n (d) n ÷ 9
  10. 10.Diya has p mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) 4p (b) p + 4 (c) p − 4 (d) p ÷ 4
  11. 11.Find the value of 4y + 9 when y = 10.
  12. 12.Solve: y − 3 = 5. What is y?
  13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  14. 14.Gurpreet has m flowers. A friend has 3 fewer. Which expression shows how many flowers the friend has? (a) m ÷ 3 (b) 3m (c) m + 3 (d) m − 3
  15. 15.Rohan has k bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) k ÷ 4 (b) k − 4 (c) 4k (d) k + 4
  16. 16.Ishaan shares n balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) n + 4 (b) 4n (c) n − 4 (d) n ÷ 4
  17. 17.Ananya has n crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) n ÷ 8 (b) n − 8 (c) n + 8 (d) 8n
  18. 18.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  19. 19.Find the value of 8x + 7 when x = 7.
  20. 20.Dev has n kites. A friend has 4 times as many. Which expression shows how many kites the friend has? (a) n + 4 (b) n − 4 (c) n ÷ 4 (d) 4n
  21. 21.Find the value of 4y − 7 when y = 2.
  22. 22.Solve: n − 7 = 13. What is n?
  23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  25. 25.Solve: 12y = 156. What is y?
  26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  27. 27.Farhan has m books. A friend has 5 more. Which expression shows how many books the friend has? (a) 5m (b) m − 5 (c) m + 5 (d) m ÷ 5
  28. 28.Find the value of 3x − 5 when x = 3.
  29. 29.Aarav has n mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) n + 2 (b) n − 2 (c) n ÷ 2 (d) 2n
  30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  31. 31.Aditya has k crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) k + 8 (b) k ÷ 8 (c) 8k (d) k − 8
  32. 32.Find the value of 4a + 3b when a = 6 and b = 1.
  33. 33.Karan shares n crayons equally among 3 friends. Which expression shows how many crayons each friend gets? (a) n − 3 (b) n + 3 (c) n ÷ 3 (d) 3n
  34. 34.Find the value of 3a + 5b when a = 2 and b = 1.
  35. 35.Find the value of 7t + 20 when t = 8.
  36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
  37. 37.Manav has p shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) 6p (b) p − 6 (c) p ÷ 6 (d) p + 6
  38. 38.Find the value of 4a + 6b when a = 8 and b = 10.
  39. 39.Find the value of 2a + 2b when a = 2 and b = 5.
  40. 40.Find the value of 3t + 2 when t = 12.

Answer key

  1. 8
  2. 70
  3. 25
  4. 10
  5. 60
  6. 60
  7. 104
  8. 38
  9. 9n
  10. p + 4
  11. 49
  12. 8
  13. 28
  14. m − 3
  15. k + 4
  16. n ÷ 4
  17. n + 8
  18. 78
  19. 63
  20. 4n
  21. 1
  22. 20
  23. 10
  24. 45
  25. 13
  26. 22
  27. m + 5
  28. 4
  29. n + 2
  30. 50
  31. 8k
  32. 27
  33. n ÷ 3
  34. 11
  35. 76
  36. 36
  37. p + 6
  38. 92
  39. 14
  40. 38

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