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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 459 · 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 4a + 5b when a = 10 and b = 1.
  2. 2.Find the value of 2y − 1 when y = 1.
  3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  4. 4.Solve: t + 4 = 12. What is t?
  5. 5.Aarav shares k kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) k + 6 (b) k − 6 (c) 6k (d) k ÷ 6
  6. 6.Find the value of 6a + 7b when a = 10 and b = 5.
  7. 7.Find the value of 8p + 5 when p = 1.
  8. 8.Find the value of 8a + 3b when a = 9 and b = 3.
  9. 9.Solve: y ÷ 8 = 10. What is y?
  10. 10.Find the value of 5p + 13 when p = 1.
  11. 11.Solve: t + 3 = 19. What is t?
  12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  13. 13.Find the value of 3a + 3b when a = 10 and b = 5.
  14. 14.Find the value of 3x + 18 when x = 4.
  15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  16. 16.Isha has n books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
  17. 17.Find the value of 3p + 12 when p = 7.
  18. 18.Find the value of 8m + 13 when m = 5.
  19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  20. 20.Find the value of 8m − 69 when m = 10.
  21. 21.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  22. 22.Find the value of 4p − 3 when p = 5.
  23. 23.Ananya has m balls. A friend has 7 times as many. Which expression shows how many balls the friend has? (a) m + 7 (b) m ÷ 7 (c) m − 7 (d) 7m
  24. 24.Solve: n + 11 = 15. What is n?
  25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
  26. 26.Find the value of 5a + 7b when a = 5 and b = 8.
  27. 27.Solve: t + 12 = 18. What is t?
  28. 28.Find the value of 4y − 5 when y = 5.
  29. 29.Find the value of 6y − 8 when y = 9.
  30. 30.Solve: p − 11 = 14. What is p?
  31. 31.Find the value of 9x − 11 when x = 2.
  32. 32.Find the value of 7m − 22 when m = 4.
  33. 33.Karan has p bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) p − 3 (b) p ÷ 3 (c) p + 3 (d) 3p
  34. 34.Find the value of 4a + 8b when a = 2 and b = 7.
  35. 35.Solve: 11t = 66. What is t?
  36. 36.Find the value of 5a + 5b when a = 1 and b = 3.
  37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  38. 38.Solve: x ÷ 2 = 16. What is x?
  39. 39.Find the value of 7p + 17 when p = 9.
  40. 40.Solve: y ÷ 9 = 3. What is y?

Answer key

  1. 45
  2. 1
  3. 48
  4. 8
  5. k ÷ 6
  6. 95
  7. 13
  8. 81
  9. 80
  10. 18
  11. 16
  12. 28
  13. 45
  14. 30
  15. 34
  16. n − 5
  17. 33
  18. 53
  19. 38
  20. 11
  21. 34
  22. 17
  23. 7m
  24. 4
  25. 36
  26. 81
  27. 6
  28. 15
  29. 46
  30. 25
  31. 7
  32. 6
  33. 3p
  34. 64
  35. 6
  36. 20
  37. 58
  38. 32
  39. 80
  40. 27

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