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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 130 · 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.Arjun has k balloons. A friend has 7 times as many. Which expression shows how many balloons the friend has? (a) k − 7 (b) 7k (c) k + 7 (d) k ÷ 7
  2. 2.Find the value of 3m + 3 when m = 5.
  3. 3.Solve: n + 3 = 14. What is n?
  4. 4.Solve: t − 5 = 11. What is t?
  5. 5.Find the value of 5x − 11 when x = 5.
  6. 6.Find the value of 2a + 4b when a = 8 and b = 4.
  7. 7.Dev has m kites. A friend has 2 fewer. Which expression shows how many kites the friend has? (a) 2m (b) m + 2 (c) m − 2 (d) m ÷ 2
  8. 8.Find the value of 3x + 11 when x = 4.
  9. 9.Find the value of 7a + 7b when a = 6 and b = 6.
  10. 10.Find the value of 4a + 4b when a = 4 and b = 2.
  11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
  13. 13.Find the value of 4x + 6 when x = 6.
  14. 14.Find the value of 9a + 4b when a = 2 and b = 2.
  15. 15.Find the value of 5a + 7b when a = 6 and b = 8.
  16. 16.Tara shares n mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) n ÷ 7 (b) n − 7 (c) 7n (d) n + 7
  17. 17.Find the value of 3n − 4 when n = 4.
  18. 18.Find the value of 4x + 11 when x = 10.
  19. 19.Find the value of 2y + 2 when y = 3.
  20. 20.Find the value of 7n + 10 when n = 5.
  21. 21.Meera has n flowers. A friend has 5 fewer. Which expression shows how many flowers the friend has? (a) n + 5 (b) n ÷ 5 (c) 5n (d) n − 5
  22. 22.Solve: 8m = 144. What is m?
  23. 23.Find the value of 9x + 15 when x = 3.
  24. 24.Find the value of 4a + 5b when a = 1 and b = 2.
  25. 25.Find the value of 6x − 16 when x = 6.
  26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
  27. 27.Solve: y − 11 = 18. What is y?
  28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  29. 29.Find the value of 3x + 20 when x = 12.
  30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  31. 31.Find the value of 7a + 4b when a = 6 and b = 3.
  32. 32.Find the value of 2a + 7b when a = 8 and b = 10.
  33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  34. 34.Manav has n bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) 3n (b) n − 3 (c) n + 3 (d) n ÷ 3
  35. 35.Find the value of 2a + 2b when a = 3 and b = 2.
  36. 36.Solve: t − 11 = 4. What is t?
  37. 37.Vivaan has n laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) n + 6 (b) n ÷ 6 (c) n − 6 (d) 6n
  38. 38.Find the value of 5a + 4b when a = 7 and b = 10.
  39. 39.Find the value of 4a + 4b when a = 2 and b = 6.
  40. 40.Solve: 8x = 136. What is x?

Answer key

  1. 7k
  2. 18
  3. 11
  4. 16
  5. 14
  6. 32
  7. m − 2
  8. 23
  9. 84
  10. 24
  11. 12
  12. 100
  13. 30
  14. 26
  15. 86
  16. n ÷ 7
  17. 8
  18. 51
  19. 8
  20. 45
  21. n − 5
  22. 18
  23. 42
  24. 14
  25. 20
  26. 84
  27. 29
  28. 21
  29. 56
  30. 15
  31. 54
  32. 86
  33. 24
  34. n − 3
  35. 10
  36. 15
  37. n + 6
  38. 75
  39. 32
  40. 17

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