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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 447 · 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: n − 12 = 18. What is n?
  2. 2.Find the value of 6a + 2b when a = 6 and b = 3.
  3. 3.Gurpreet has k kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) 5k (b) k ÷ 5 (c) k + 5 (d) k − 5
  4. 4.Manav shares p kites equally among 5 friends. Which expression shows how many kites each friend gets? (a) 5p (b) p + 5 (c) p − 5 (d) p ÷ 5
  5. 5.Solve: 5t = 15. What is t?
  6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  7. 7.Find the value of 4t + 3 when t = 1.
  8. 8.Find the value of 3a + 4b when a = 5 and b = 4.
  9. 9.Ananya has k marbles. A friend has 6 times as many. Which expression shows how many marbles the friend has? (a) k + 6 (b) 6k (c) k ÷ 6 (d) k − 6
  10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  11. 11.Find the value of 7a + 3b when a = 8 and b = 4.
  12. 12.Find the value of 2t + 19 when t = 9.
  13. 13.Find the value of 5y − 5 when y = 2.
  14. 14.Kabir 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) 7m (d) m − 7
  15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  16. 16.Find the value of 5t − 4 when t = 1.
  17. 17.Solve: 3p = 9. What is p?
  18. 18.Solve: t − 8 = 10. What is t?
  19. 19.Solve: y + 4 = 8. What is y?
  20. 20.Find the value of 4y − 25 when y = 12.
  21. 21.Find the value of 4a + 4b when a = 7 and b = 3.
  22. 22.Find the value of 7y − 6 when y = 9.
  23. 23.Solve: x − 7 = 16. What is x?
  24. 24.Find the value of 3m + 9 when m = 3.
  25. 25.Find the value of 7a + 7b when a = 5 and b = 7.
  26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  27. 27.Find the value of 2a + 3b when a = 3 and b = 9.
  28. 28.Solve: x − 11 = 6. What is x?
  29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
  30. 30.Solve: n − 6 = 1. What is n?
  31. 31.Find the value of 9t + 16 when t = 2.
  32. 32.Ishaan has p bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) p + 6 (b) p − 6 (c) p ÷ 6 (d) 6p
  33. 33.Find the value of 9y + 5 when y = 4.
  34. 34.Solve: p + 3 = 5. What is p?
  35. 35.Find the value of 8t − 9 when t = 3.
  36. 36.Solve: p + 5 = 20. What is p?
  37. 37.Find the value of 2n + 17 when n = 1.
  38. 38.Ishaan has n crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
  39. 39.Solve: x + 3 = 18. What is x?
  40. 40.Find the value of 2a + 3b when a = 2 and b = 7.

Answer key

  1. 30
  2. 42
  3. k + 5
  4. p ÷ 5
  5. 3
  6. 21
  7. 7
  8. 31
  9. 6k
  10. 36
  11. 68
  12. 37
  13. 5
  14. 7m
  15. 15
  16. 1
  17. 3
  18. 18
  19. 4
  20. 23
  21. 40
  22. 57
  23. 23
  24. 18
  25. 84
  26. 14
  27. 33
  28. 17
  29. 44
  30. 7
  31. 34
  32. p − 6
  33. 41
  34. 2
  35. 15
  36. 15
  37. 19
  38. n + 2
  39. 15
  40. 25

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