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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 235 · 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 5y − 3 when y = 4.
  2. 2.Solve: 2x = 4. What is x?
  3. 3.Find the value of 6a + 9b when a = 6 and b = 1.
  4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  5. 5.Solve: m − 11 = 10. What is m?
  6. 6.Solve: n ÷ 9 = 18. What is n?
  7. 7.Find the value of 9m + 8 when m = 2.
  8. 8.Riya has m laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) m + 8 (b) 8m (c) m ÷ 8 (d) m − 8
  9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  10. 10.Find the value of 5a + 5b when a = 5 and b = 6.
  11. 11.Solve: p ÷ 10 = 12. What is p?
  12. 12.Solve: 3p = 36. What is p?
  13. 13.Solve: m ÷ 3 = 5. What is m?
  14. 14.Solve: 10p = 170. What is p?
  15. 15.Solve: x ÷ 8 = 3. What is x?
  16. 16.Find the value of 2a + 6b when a = 10 and b = 6.
  17. 17.Find the value of 6a + 9b when a = 6 and b = 4.
  18. 18.Solve: 7x = 91. What is x?
  19. 19.Solve: 2y = 18. What is y?
  20. 20.Aarav has p balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) 2p (b) p + 2 (c) p ÷ 2 (d) p − 2
  21. 21.Find the value of 7t + 9 when t = 9.
  22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  23. 23.Solve: n − 5 = 5. What is n?
  24. 24.Solve: t + 5 = 24. What is t?
  25. 25.Find the value of 9a + 3b when a = 1 and b = 5.
  26. 26.Solve: m + 4 = 16. What is m?
  27. 27.Vivaan has n pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) n + 9 (b) n − 9 (c) n ÷ 9 (d) 9n
  28. 28.Saanvi has k balloons. A friend has 7 times as many. Which expression shows how many balloons the friend has? (a) 7k (b) k − 7 (c) k ÷ 7 (d) k + 7
  29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  30. 30.Solve: t + 10 = 30. What is t?
  31. 31.Solve: 2m = 6. What is m?
  32. 32.Solve: t + 2 = 13. What is t?
  33. 33.Find the value of 6y − 4 when y = 9.
  34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  35. 35.Find the value of 6a + 2b when a = 3 and b = 2.
  36. 36.Find the value of 6a + 3b when a = 6 and b = 10.
  37. 37.Manav has m bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) m − 9 (b) m ÷ 9 (c) 9m (d) m + 9
  38. 38.Find the value of 4t + 5 when t = 8.
  39. 39.Find the value of 8n + 5 when n = 3.
  40. 40.Gurpreet has n mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) n + 9 (b) 9n (c) n − 9 (d) n ÷ 9

Answer key

  1. 17
  2. 2
  3. 45
  4. 69
  5. 21
  6. 162
  7. 26
  8. 8m
  9. 38
  10. 55
  11. 120
  12. 12
  13. 15
  14. 17
  15. 24
  16. 56
  17. 72
  18. 13
  19. 9
  20. p − 2
  21. 72
  22. 60
  23. 10
  24. 19
  25. 24
  26. 12
  27. n − 9
  28. 7k
  29. 32
  30. 20
  31. 3
  32. 11
  33. 50
  34. 63
  35. 22
  36. 66
  37. m + 9
  38. 37
  39. 29
  40. n + 9

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