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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 88 · 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 3a + 5b when a = 3 and b = 1.
  2. 2.Find the value of 9a + 4b when a = 2 and b = 3.
  3. 3.Find the value of 9a + 5b when a = 5 and b = 3.
  4. 4.Find the value of 3p − 2 when p = 1.
  5. 5.Solve: 10x = 40. What is x?
  6. 6.Solve: y − 3 = 1. What is y?
  7. 7.Solve: p + 3 = 7. What is p?
  8. 8.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  9. 9.Find the value of 5n + 18 when n = 4.
  10. 10.Solve: t ÷ 2 = 20. What is t?
  11. 11.Karan has p crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) p − 7 (b) 7p (c) p + 7 (d) p ÷ 7
  12. 12.Solve: p ÷ 11 = 17. What is p?
  13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  15. 15.Find the value of 7a + 7b when a = 1 and b = 5.
  16. 16.Find the value of 8t − 59 when t = 8.
  17. 17.Aditya has n shells. A friend has 5 more. Which expression shows how many shells the friend has? (a) n − 5 (b) n ÷ 5 (c) n + 5 (d) 5n
  18. 18.Find the value of 6x + 10 when x = 1.
  19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  20. 20.Solve: 11n = 110. What is n?
  21. 21.Vivaan has p balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) p ÷ 5 (b) p + 5 (c) p − 5 (d) 5p
  22. 22.Solve: x ÷ 5 = 7. What is x?
  23. 23.Find the value of 8a + 9b when a = 4 and b = 4.
  24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  26. 26.Find the value of 7a + 6b when a = 5 and b = 4.
  27. 27.Find the value of 2y + 19 when y = 9.
  28. 28.Find the value of 2n + 13 when n = 12.
  29. 29.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  30. 30.Find the value of 2y + 15 when y = 12.
  31. 31.Find the value of 5m − 5 when m = 8.
  32. 32.Aditya has p balloons. A friend has 5 more. Which expression shows how many balloons the friend has? (a) 5p (b) p ÷ 5 (c) p + 5 (d) p − 5
  33. 33.Find the value of 2m + 8 when m = 11.
  34. 34.Solve: x + 12 = 16. What is x?
  35. 35.Solve: t − 8 = 10. What is t?
  36. 36.Solve: x ÷ 5 = 12. What is x?
  37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  38. 38.Find the value of 8a + 8b when a = 7 and b = 2.
  39. 39.Solve: 3y = 60. What is y?
  40. 40.Find the value of 7a + 3b when a = 9 and b = 2.

Answer key

  1. 14
  2. 30
  3. 60
  4. 1
  5. 4
  6. 4
  7. 4
  8. 66
  9. 38
  10. 40
  11. 7p
  12. 187
  13. 24
  14. 44
  15. 42
  16. 5
  17. n + 5
  18. 16
  19. 48
  20. 10
  21. 5p
  22. 35
  23. 68
  24. 10
  25. 50
  26. 59
  27. 37
  28. 37
  29. 78
  30. 39
  31. 35
  32. p + 5
  33. 30
  34. 4
  35. 18
  36. 60
  37. 21
  38. 72
  39. 20
  40. 69

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