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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 389 · 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 3t − 13 when t = 12.
  2. 2.Solve: p ÷ 5 = 14. What is p?
  3. 3.Solve: 2m = 10. What is m?
  4. 4.Find the value of 9p + 9 when p = 11.
  5. 5.Solve: x ÷ 3 = 14. What is x?
  6. 6.Priya shares k shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) k + 2 (b) k − 2 (c) 2k (d) k ÷ 2
  7. 7.Riya has k shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) 8k (b) k ÷ 8 (c) k − 8 (d) k + 8
  8. 8.Solve: 6y = 72. What is y?
  9. 9.Solve: 6n = 120. What is n?
  10. 10.Solve: t − 8 = 20. What is t?
  11. 11.Solve: y − 6 = 15. What is y?
  12. 12.Find the value of 9a + 3b when a = 9 and b = 5.
  13. 13.Solve: n + 3 = 7. What is n?
  14. 14.Find the value of 3x + 16 when x = 11.
  15. 15.Find the value of 7p + 1 when p = 6.
  16. 16.Find the value of 6p − 1 when p = 4.
  17. 17.Find the value of 2y + 4 when y = 4.
  18. 18.Arjun has p bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) p + 5 (b) p − 5 (c) 5p (d) p ÷ 5
  19. 19.Solve: p − 2 = 4. What is p?
  20. 20.Solve: t ÷ 8 = 17. What is t?
  21. 21.Solve: n + 3 = 5. What is n?
  22. 22.Find the value of 8p − 3 when p = 8.
  23. 23.Find the value of 2m − 1 when m = 1.
  24. 24.Find the value of 5y + 4 when y = 11.
  25. 25.Solve: p − 2 = 10. What is p?
  26. 26.Saanvi has n balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
  27. 27.Find the value of 2m + 3 when m = 2.
  28. 28.Find the value of 5t − 41 when t = 10.
  29. 29.Find the value of 2m + 13 when m = 1.
  30. 30.Find the value of 7m − 38 when m = 6.
  31. 31.Find the value of 4x + 4 when x = 1.
  32. 32.Pooja has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) m ÷ 2 (b) 2m (c) m + 2 (d) m − 2
  33. 33.Meera has p balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) 7p (b) p + 7 (c) p − 7 (d) p ÷ 7
  34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  35. 35.Priya has n books. A friend has 6 fewer. Which expression shows how many books the friend has? (a) 6n (b) n + 6 (c) n − 6 (d) n ÷ 6
  36. 36.Farhan has k shells. A friend has 5 more. Which expression shows how many shells the friend has? (a) k − 5 (b) 5k (c) k + 5 (d) k ÷ 5
  37. 37.Priya has m books. A friend has 2 more. Which expression shows how many books the friend has? (a) m ÷ 2 (b) m − 2 (c) 2m (d) m + 2
  38. 38.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  39. 39.Find the value of 3t + 11 when t = 5.
  40. 40.Karan has p balloons. A friend has 7 times as many. Which expression shows how many balloons the friend has? (a) 7p (b) p − 7 (c) p + 7 (d) p ÷ 7

Answer key

  1. 23
  2. 70
  3. 5
  4. 108
  5. 42
  6. k ÷ 2
  7. k + 8
  8. 12
  9. 20
  10. 28
  11. 21
  12. 96
  13. 4
  14. 49
  15. 43
  16. 23
  17. 12
  18. 5p
  19. 6
  20. 136
  21. 2
  22. 61
  23. 1
  24. 59
  25. 12
  26. 8n
  27. 7
  28. 9
  29. 15
  30. 4
  31. 8
  32. m + 2
  33. p − 7
  34. 42
  35. n − 6
  36. k + 5
  37. m + 2
  38. 38
  39. 26
  40. 7p

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