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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 271 · 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 2a + 8b when a = 4 and b = 4.
  2. 2.Find the value of 5p − 2 when p = 4.
  3. 3.Ishaan shares p pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) p + 4 (b) p − 4 (c) 4p (d) p ÷ 4
  4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  5. 5.Find the value of 4x + 4 when x = 11.
  6. 6.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  7. 7.Ananya has n pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n
  8. 8.Solve: x − 5 = 7. What is x?
  9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  10. 10.Solve: y ÷ 6 = 9. What is y?
  11. 11.Find the value of 2x − 10 when x = 8.
  12. 12.Find the value of 9a + 9b when a = 8 and b = 6.
  13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  15. 15.Solve: 6t = 54. What is t?
  16. 16.Solve: m + 4 = 11. What is m?
  17. 17.Solve: n ÷ 6 = 9. What is n?
  18. 18.Find the value of 8x + 2 when x = 8.
  19. 19.Find the value of 2a + 2b when a = 4 and b = 5.
  20. 20.Solve: p + 4 = 16. What is p?
  21. 21.Find the value of 4a + 3b when a = 8 and b = 8.
  22. 22.Find the value of 4t + 11 when t = 12.
  23. 23.Solve: t + 7 = 15. What is t?
  24. 24.Find the value of 5p − 10 when p = 11.
  25. 25.Find the value of 3x − 1 when x = 2.
  26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  27. 27.Find the value of 7y − 13 when y = 10.
  28. 28.Find the value of 4y − 34 when y = 11.
  29. 29.Find the value of 4x + 3 when x = 12.
  30. 30.Find the value of 4a + 2b when a = 1 and b = 10.
  31. 31.Diya has k laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) k + 3 (b) 3k (c) k − 3 (d) k ÷ 3
  32. 32.Find the value of 9x + 17 when x = 10.
  33. 33.Find the value of 2t − 5 when t = 3.
  34. 34.Ananya has p bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) p + 4 (b) p − 4 (c) 4p (d) p ÷ 4
  35. 35.Karan has n crayons. A friend has 8 fewer. Which expression shows how many crayons the friend has? (a) n ÷ 8 (b) n − 8 (c) 8n (d) n + 8
  36. 36.Solve: t + 4 = 7. What is t?
  37. 37.Find the value of 2a + 9b when a = 2 and b = 4.
  38. 38.Find the value of 3m + 11 when m = 5.
  39. 39.Solve: 2m = 16. What is m?
  40. 40.Find the value of 3p + 19 when p = 3.

Answer key

  1. 40
  2. 18
  3. p ÷ 4
  4. 44
  5. 48
  6. 63
  7. 2n
  8. 12
  9. 66
  10. 54
  11. 6
  12. 126
  13. 52
  14. 44
  15. 9
  16. 7
  17. 54
  18. 66
  19. 18
  20. 12
  21. 56
  22. 59
  23. 8
  24. 45
  25. 5
  26. 10
  27. 57
  28. 10
  29. 51
  30. 24
  31. 3k
  32. 107
  33. 1
  34. 4p
  35. n − 8
  36. 3
  37. 40
  38. 26
  39. 8
  40. 28

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