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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 60 · 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: x − 7 = 11. What is x?
  2. 2.Aarav has m mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) m ÷ 6 (b) m − 6 (c) 6m (d) m + 6
  3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  4. 4.Find the value of 6a + 5b when a = 3 and b = 6.
  5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  6. 6.Find the value of 2x + 7 when x = 4.
  7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
  8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  9. 9.Karan has k balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
  10. 10.Find the value of 9a + 8b when a = 3 and b = 10.
  11. 11.Pooja has p shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) p + 7 (b) p ÷ 7 (c) p − 7 (d) 7p
  12. 12.Find the value of 3a + 7b when a = 3 and b = 10.
  13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  14. 14.Solve: 9y = 162. What is y?
  15. 15.Find the value of 4a + 2b when a = 1 and b = 5.
  16. 16.Solve: 12p = 132. What is p?
  17. 17.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  18. 18.Find the value of 2p + 4 when p = 11.
  19. 19.Find the value of 7a + 6b when a = 5 and b = 5.
  20. 20.Find the value of 8m + 12 when m = 3.
  21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  22. 22.Find the value of 9a + 3b when a = 3 and b = 5.
  23. 23.Find the value of 2y + 18 when y = 12.
  24. 24.Solve: y ÷ 3 = 20. What is y?
  25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
  28. 28.Find the value of 7n − 2 when n = 7.
  29. 29.Solve: m + 8 = 27. What is m?
  30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  32. 32.Solve: y + 9 = 26. What is y?
  33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  35. 35.Solve: p + 7 = 22. What is p?
  36. 36.Joseph has n balloons. A friend has 7 times as many. Which expression shows how many balloons the friend has? (a) 7n (b) n − 7 (c) n + 7 (d) n ÷ 7
  37. 37.Ananya has p laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) 9p (b) p + 9 (c) p ÷ 9 (d) p − 9
  38. 38.Isha has m mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) m − 4 (b) m ÷ 4 (c) 4m (d) m + 4
  39. 39.Find the value of 4x + 4 when x = 11.
  40. 40.Kavya has p bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) p ÷ 8 (b) 8p (c) p − 8 (d) p + 8

Answer key

  1. 18
  2. m + 6
  3. 45
  4. 48
  5. 69
  6. 15
  7. 52
  8. 32
  9. 2k
  10. 107
  11. 7p
  12. 79
  13. 58
  14. 18
  15. 14
  16. 11
  17. 78
  18. 26
  19. 65
  20. 36
  21. 72
  22. 42
  23. 42
  24. 60
  25. 57
  26. 16
  27. 76
  28. 47
  29. 19
  30. 87
  31. 50
  32. 17
  33. 54
  34. 30
  35. 15
  36. 7n
  37. p − 9
  38. m + 4
  39. 48
  40. p − 8

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