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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 456 · 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: p + 8 = 26. What is p?
  2. 2.Solve: 12m = 216. What is m?
  3. 3.Find the value of 9m − 13 when m = 2.
  4. 4.Find the value of 3a + 6b when a = 5 and b = 1.
  5. 5.Priya shares p pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) 8p (b) p − 8 (c) p + 8 (d) p ÷ 8
  6. 6.Lakshmi has n books. A friend has 7 times as many. Which expression shows how many books the friend has? (a) n − 7 (b) n ÷ 7 (c) n + 7 (d) 7n
  7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  8. 8.Solve: n ÷ 10 = 4. What is n?
  9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  10. 10.Solve: x + 6 = 19. What is x?
  11. 11.Find the value of 3t + 9 when t = 4.
  12. 12.Find the value of 3m − 1 when m = 4.
  13. 13.Find the value of 9y − 33 when y = 5.
  14. 14.Find the value of 4a + 3b when a = 6 and b = 1.
  15. 15.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  16. 16.Solve: m ÷ 7 = 15. What is m?
  17. 17.Solve: m + 8 = 17. What is m?
  18. 18.Find the value of 8n + 6 when n = 10.
  19. 19.Solve: 5x = 65. What is x?
  20. 20.Find the value of 6x − 27 when x = 7.
  21. 21.Find the value of 3x + 14 when x = 1.
  22. 22.Isha has p crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) p + 3 (b) 3p (c) p − 3 (d) p ÷ 3
  23. 23.Find the value of 7y + 1 when y = 4.
  24. 24.Zoya has p bananas. A friend has 2 times as many. Which expression shows how many bananas the friend has? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
  25. 25.Solve: p − 4 = 7. What is p?
  26. 26.Find the value of 3a + 3b when a = 1 and b = 10.
  27. 27.Aarav has n pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) n ÷ 4 (b) n − 4 (c) n + 4 (d) 4n
  28. 28.Find the value of 9x + 12 when x = 6.
  29. 29.Meera shares m flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) m − 4 (b) m + 4 (c) 4m (d) m ÷ 4
  30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  31. 31.Solve: t ÷ 6 = 12. What is t?
  32. 32.Find the value of 9a + 8b when a = 8 and b = 10.
  33. 33.Find the value of 4y − 2 when y = 1.
  34. 34.Find the value of 6m + 6 when m = 10.
  35. 35.Find the value of 8a + 7b when a = 4 and b = 10.
  36. 36.Solve: 10p = 140. What is p?
  37. 37.Kabir has m kites. A friend has 2 times as many. Which expression shows how many kites the friend has? (a) 2m (b) m + 2 (c) m ÷ 2 (d) m − 2
  38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  39. 39.Solve: p + 6 = 25. What is p?
  40. 40.Find the value of 7a + 8b when a = 2 and b = 2.

Answer key

  1. 18
  2. 18
  3. 5
  4. 21
  5. p ÷ 8
  6. 7n
  7. 45
  8. 40
  9. 15
  10. 13
  11. 21
  12. 11
  13. 12
  14. 27
  15. 10
  16. 105
  17. 9
  18. 86
  19. 13
  20. 15
  21. 17
  22. p − 3
  23. 29
  24. 2p
  25. 11
  26. 33
  27. n + 4
  28. 66
  29. m ÷ 4
  30. 21
  31. 72
  32. 152
  33. 2
  34. 66
  35. 102
  36. 14
  37. 2m
  38. 18
  39. 19
  40. 30

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