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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 437 · 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: 11x = 198. What is x?
  2. 2.Diya has p marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) p + 2 (b) p − 2 (c) 2p (d) p ÷ 2
  3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  4. 4.Find the value of 3n − 25 when n = 10.
  5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  6. 6.Solve: m − 7 = 7. What is m?
  7. 7.Rohan has p mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) 7p (b) p ÷ 7 (c) p + 7 (d) p − 7
  8. 8.Solve: 10m = 150. What is m?
  9. 9.Find the value of 8a + 2b when a = 1 and b = 8.
  10. 10.Arjun has n shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) n + 7 (b) n ÷ 7 (c) n − 7 (d) 7n
  11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  12. 12.Aarav has p pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) p − 7 (b) 7p (c) p ÷ 7 (d) p + 7
  13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  14. 14.Find the value of 7x − 83 when x = 12.
  15. 15.Find the value of 6p + 20 when p = 11.
  16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  17. 17.Find the value of 6n − 19 when n = 7.
  18. 18.Solve: 2m = 4. What is m?
  19. 19.Find the value of 3m − 3 when m = 2.
  20. 20.Dev has n kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) n + 6 (b) n ÷ 6 (c) n − 6 (d) 6n
  21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  22. 22.Find the value of 2a + 8b when a = 7 and b = 7.
  23. 23.Sneha has p laddoos. A friend has 2 times as many. Which expression shows how many laddoos the friend has? (a) p ÷ 2 (b) p − 2 (c) 2p (d) p + 2
  24. 24.Find the value of 8y − 40 when y = 8.
  25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
  26. 26.Ananya has m books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) m ÷ 8 (b) m − 8 (c) m + 8 (d) 8m
  27. 27.Find the value of 7t − 10 when t = 4.
  28. 28.Dev has k balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) k ÷ 9 (b) k + 9 (c) 9k (d) k − 9
  29. 29.Find the value of 5y − 36 when y = 10.
  30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  31. 31.Solve: t + 8 = 17. What is t?
  32. 32.Arjun shares m balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) m − 8 (b) m ÷ 8 (c) m + 8 (d) 8m
  33. 33.Solve: x ÷ 10 = 7. What is x?
  34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  35. 35.Find the value of 3m + 1 when m = 6.
  36. 36.Meera has k mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) k ÷ 6 (b) k − 6 (c) 6k (d) k + 6
  37. 37.Solve: x − 4 = 11. What is x?
  38. 38.Solve: y + 12 = 32. What is y?
  39. 39.Find the value of 7a + 4b when a = 9 and b = 5.
  40. 40.Rohan has n books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n

Answer key

  1. 18
  2. p − 2
  3. 28
  4. 5
  5. 63
  6. 14
  7. p − 7
  8. 15
  9. 24
  10. 7n
  11. 50
  12. p + 7
  13. 54
  14. 1
  15. 86
  16. 32
  17. 23
  18. 2
  19. 3
  20. n − 6
  21. 30
  22. 70
  23. 2p
  24. 24
  25. 24
  26. m − 8
  27. 18
  28. k + 9
  29. 14
  30. 36
  31. 9
  32. m ÷ 8
  33. 70
  34. 40
  35. 19
  36. k − 6
  37. 15
  38. 20
  39. 83
  40. 2n

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