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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 208 · 40 sums
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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.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  3. 3.Manav has n balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) 2n (b) n − 2 (c) n + 2 (d) n ÷ 2
  4. 4.Solve: 5n = 90. What is n?
  5. 5.Find the value of 8a + 5b when a = 7 and b = 10.
  6. 6.Find the value of 6a + 5b when a = 2 and b = 5.
  7. 7.Find the value of 6a + 2b when a = 5 and b = 7.
  8. 8.Find the value of 7y + 20 when y = 5.
  9. 9.Solve: p ÷ 10 = 13. What is p?
  10. 10.Find the value of 5a + 9b when a = 3 and b = 2.
  11. 11.Solve: x ÷ 12 = 4. What is x?
  12. 12.Find the value of 2a + 2b when a = 1 and b = 5.
  13. 13.Find the value of 3x + 10 when x = 4.
  14. 14.Find the value of 2y − 5 when y = 3.
  15. 15.Tara has n laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
  16. 16.Solve: 3x = 3. What is x?
  17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  18. 18.Find the value of 2p + 1 when p = 3.
  19. 19.Find the value of 6a + 5b when a = 4 and b = 5.
  20. 20.Solve: t + 4 = 23. What is t?
  21. 21.Find the value of 2x + 20 when x = 6.
  22. 22.Find the value of 9m − 4 when m = 3.
  23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  24. 24.Find the value of 2x − 13 when x = 8.
  25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  26. 26.Solve: 2n = 16. What is n?
  27. 27.Solve: m ÷ 6 = 11. What is m?
  28. 28.Find the value of 4x − 34 when x = 10.
  29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  30. 30.Find the value of 7x + 10 when x = 8.
  31. 31.Solve: x − 2 = 8. What is x?
  32. 32.Find the value of 5y − 35 when y = 8.
  33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  34. 34.Find the value of 6a + 8b when a = 2 and b = 7.
  35. 35.Find the value of 5x + 18 when x = 4.
  36. 36.Solve: n + 5 = 9. What is n?
  37. 37.Find the value of 6n − 3 when n = 1.
  38. 38.Find the value of 8y + 14 when y = 11.
  39. 39.Solve: m + 7 = 19. What is m?
  40. 40.Solve: 11n = 22. What is n?

Answer key

  1. 36
  2. 78
  3. n + 2
  4. 18
  5. 106
  6. 37
  7. 44
  8. 55
  9. 130
  10. 33
  11. 48
  12. 12
  13. 22
  14. 1
  15. n + 3
  16. 1
  17. 30
  18. 7
  19. 49
  20. 19
  21. 32
  22. 23
  23. 50
  24. 3
  25. 33
  26. 8
  27. 66
  28. 6
  29. 22
  30. 66
  31. 10
  32. 5
  33. 18
  34. 68
  35. 38
  36. 4
  37. 3
  38. 102
  39. 12
  40. 2

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