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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 110 · 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: t − 11 = 2. What is t?
  2. 2.Find the value of 6n + 3 when n = 2.
  3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  4. 4.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  5. 5.Solve: p + 10 = 12. What is p?
  6. 6.Find the value of 2x − 1 when x = 1.
  7. 7.Solve: 3p = 24. What is p?
  8. 8.Find the value of 7a + 3b when a = 9 and b = 2.
  9. 9.Find the value of 3x + 1 when x = 3.
  10. 10.Lakshmi has n crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
  11. 11.Gurpreet has n flowers. A friend has 7 times as many. Which expression shows how many flowers the friend has? (a) n − 7 (b) n + 7 (c) n ÷ 7 (d) 7n
  12. 12.Isha has n bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) 9n (b) n ÷ 9 (c) n − 9 (d) n + 9
  13. 13.Solve: n + 11 = 14. What is n?
  14. 14.Find the value of 3a + 4b when a = 2 and b = 8.
  15. 15.Find the value of 2t + 6 when t = 1.
  16. 16.Find the value of 3x + 1 when x = 2.
  17. 17.Find the value of 3a + 4b when a = 1 and b = 3.
  18. 18.Solve: n ÷ 3 = 6. What is n?
  19. 19.Solve: 11t = 132. What is t?
  20. 20.Find the value of 5y + 18 when y = 3.
  21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  22. 22.Find the value of 7y − 5 when y = 1.
  23. 23.Rohan has n books. A friend has 4 more. Which expression shows how many books the friend has? (a) n − 4 (b) 4n (c) n ÷ 4 (d) n + 4
  24. 24.Find the value of 6a + 5b when a = 6 and b = 3.
  25. 25.Find the value of 7t + 5 when t = 8.
  26. 26.Find the value of 7n − 3 when n = 2.
  27. 27.Solve: p + 4 = 17. What is p?
  28. 28.Find the value of 7a + 6b when a = 9 and b = 7.
  29. 29.Find the value of 6t + 6 when t = 3.
  30. 30.Solve: m ÷ 12 = 18. What is m?
  31. 31.Find the value of 8t − 37 when t = 9.
  32. 32.Sneha has n laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
  33. 33.Zoya has n balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) 6n (b) n − 6 (c) n ÷ 6 (d) n + 6
  34. 34.Solve: 11m = 121. What is m?
  35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  36. 36.Find the value of 8y − 10 when y = 2.
  37. 37.Find the value of 3a + 3b when a = 6 and b = 4.
  38. 38.Find the value of 3y − 7 when y = 4.
  39. 39.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  40. 40.Ananya has p flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) p ÷ 5 (b) p + 5 (c) p − 5 (d) 5p

Answer key

  1. 13
  2. 15
  3. 28
  4. 27
  5. 2
  6. 1
  7. 8
  8. 69
  9. 10
  10. n − 9
  11. 7n
  12. n + 9
  13. 3
  14. 38
  15. 8
  16. 7
  17. 15
  18. 18
  19. 12
  20. 33
  21. 69
  22. 2
  23. n + 4
  24. 51
  25. 61
  26. 11
  27. 13
  28. 105
  29. 24
  30. 216
  31. 35
  32. n + 2
  33. 6n
  34. 11
  35. 16
  36. 6
  37. 30
  38. 5
  39. 48
  40. p + 5

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