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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 236 · 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.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  2. 2.Solve: x + 6 = 21. What is x?
  3. 3.Solve: p + 9 = 11. What is p?
  4. 4.Aarav has p flowers. A friend has 5 times as many. Which expression shows how many flowers the friend has? (a) p − 5 (b) 5p (c) p ÷ 5 (d) p + 5
  5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
  6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  7. 7.Solve: m − 2 = 10. What is m?
  8. 8.Find the value of 2y + 4 when y = 3.
  9. 9.Find the value of 9m − 57 when m = 7.
  10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
  11. 11.Solve: m ÷ 7 = 1. What is m?
  12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  13. 13.Find the value of 2a + 2b when a = 2 and b = 3.
  14. 14.Find the value of 3a + 6b when a = 8 and b = 10.
  15. 15.Find the value of 5a + 6b when a = 9 and b = 1.
  16. 16.Find the value of 3x − 9 when x = 7.
  17. 17.Find the value of 2a + 7b when a = 8 and b = 2.
  18. 18.Find the value of 3a + 6b when a = 2 and b = 3.
  19. 19.Find the value of 3t + 13 when t = 7.
  20. 20.Solve: t + 6 = 7. What is t?
  21. 21.Solve: 8y = 64. What is y?
  22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  23. 23.Find the value of 9x − 10 when x = 5.
  24. 24.Solve: y ÷ 2 = 18. What is y?
  25. 25.Solve: 12m = 192. What is m?
  26. 26.Solve: p + 11 = 13. What is p?
  27. 27.Solve: t − 4 = 6. What is t?
  28. 28.Find the value of 2m + 15 when m = 9.
  29. 29.Solve: 10y = 130. What is y?
  30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  31. 31.Find the value of 3t − 10 when t = 12.
  32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  33. 33.Solve: 2x = 40. What is x?
  34. 34.Solve: t ÷ 6 = 12. What is t?
  35. 35.Find the value of 3y − 6 when y = 10.
  36. 36.Isha has n books. A friend has 8 times as many. Which expression shows how many books the friend has? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
  37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  38. 38.Find the value of 3a + 9b when a = 5 and b = 7.
  39. 39.Find the value of 9a + 9b when a = 2 and b = 7.
  40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?

Answer key

  1. 46
  2. 15
  3. 2
  4. 5p
  5. 68
  6. 45
  7. 12
  8. 10
  9. 6
  10. 36
  11. 7
  12. 39
  13. 10
  14. 84
  15. 51
  16. 12
  17. 30
  18. 24
  19. 34
  20. 1
  21. 8
  22. 57
  23. 35
  24. 36
  25. 16
  26. 2
  27. 10
  28. 33
  29. 13
  30. 32
  31. 26
  32. 40
  33. 20
  34. 72
  35. 24
  36. 8n
  37. 48
  38. 78
  39. 81
  40. 30

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