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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 64 · 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: y ÷ 2 = 5. What is y?
  2. 2.Solve: p + 2 = 21. What is p?
  3. 3.Find the value of 7y + 6 when y = 3.
  4. 4.Find the value of 7m + 19 when m = 8.
  5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  6. 6.Find the value of 6x − 15 when x = 6.
  7. 7.Solve: y + 6 = 11. What is y?
  8. 8.Find the value of 2a + 9b when a = 1 and b = 5.
  9. 9.Solve: 11x = 110. What is x?
  10. 10.Dev shares m bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) m + 2 (b) m ÷ 2 (c) 2m (d) m − 2
  11. 11.Find the value of 8a + 6b when a = 5 and b = 9.
  12. 12.Find the value of 4p + 17 when p = 12.
  13. 13.Solve: x ÷ 10 = 13. What is x?
  14. 14.Solve: p + 6 = 24. What is p?
  15. 15.Find the value of 3m − 20 when m = 7.
  16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  17. 17.Find the value of 4a + 5b when a = 6 and b = 4.
  18. 18.Sneha shares k balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) k + 2 (b) 2k (c) k − 2 (d) k ÷ 2
  19. 19.Dev has p pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) 5p (b) p − 5 (c) p + 5 (d) p ÷ 5
  20. 20.Aditya has p marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) 4p (b) p ÷ 4 (c) p − 4 (d) p + 4
  21. 21.Priya has m bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) m ÷ 9 (b) m − 9 (c) 9m (d) m + 9
  22. 22.Solve: p − 4 = 10. What is p?
  23. 23.Solve: y + 11 = 12. What is y?
  24. 24.Find the value of 5a + 2b when a = 10 and b = 6.
  25. 25.Solve: m − 9 = 18. What is m?
  26. 26.Solve: p ÷ 3 = 16. What is p?
  27. 27.Find the value of 6a + 7b when a = 6 and b = 5.
  28. 28.Find the value of 8x − 50 when x = 8.
  29. 29.Solve: 12n = 108. What is n?
  30. 30.Solve: 5y = 60. What is y?
  31. 31.Find the value of 6a + 8b when a = 4 and b = 4.
  32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  33. 33.Solve: p − 7 = 7. What is p?
  34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  35. 35.Isha shares n kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) 6n (b) n + 6 (c) n ÷ 6 (d) n − 6
  36. 36.Saanvi has m laddoos. A friend has 2 fewer. Which expression shows how many laddoos the friend has? (a) m + 2 (b) 2m (c) m − 2 (d) m ÷ 2
  37. 37.Solve: 6t = 96. What is t?
  38. 38.Solve: y + 5 = 17. What is y?
  39. 39.Find the value of 9a + 6b when a = 3 and b = 5.
  40. 40.Find the value of 3x − 10 when x = 4.

Answer key

  1. 10
  2. 19
  3. 27
  4. 75
  5. 42
  6. 21
  7. 5
  8. 47
  9. 10
  10. m ÷ 2
  11. 94
  12. 65
  13. 130
  14. 18
  15. 1
  16. 44
  17. 44
  18. k ÷ 2
  19. p − 5
  20. 4p
  21. m − 9
  22. 14
  23. 1
  24. 62
  25. 27
  26. 48
  27. 71
  28. 14
  29. 9
  30. 12
  31. 56
  32. 72
  33. 14
  34. 52
  35. n ÷ 6
  36. m − 2
  37. 16
  38. 12
  39. 57
  40. 2

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