Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 76 · 40 sums

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.

1. 1.Find the value of 3y + 16 when y = 8.
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
3. 3.Find the value of 7x − 9 when x = 2.
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
5. 5.Riya shares k pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) k + 7 (b) k − 7 (c) 7k (d) k ÷ 7
6. 6.Solve: x ÷ 5 = 9. What is x?
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
8. 8.Solve: 2t = 34. What is t?
9. 9.Tara has m flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) m ÷ 8 (b) m + 8 (c) m − 8 (d) 8m
10. 10.Dev has k shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) k ÷ 4 (b) k − 4 (c) k + 4 (d) 4k
11. 11.Find the value of 4a + 4b when a = 6 and b = 3.
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
13. 13.Find the value of 5p − 53 when p = 12.
14. 14.Find the value of 2n + 9 when n = 12.
15. 15.Aarav has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) p − 3 (b) p + 3 (c) p ÷ 3 (d) 3p
16. 16.Find the value of 8x − 16 when x = 3.
17. 17.Arjun has m laddoos. A friend has 2 times as many. Which expression shows how many laddoos the friend has? (a) 2m (b) m − 2 (c) m ÷ 2 (d) m + 2
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
19. 19.Solve: t ÷ 12 = 19. What is t?
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
22. 22.Solve: p + 3 = 9. What is p?
23. 23.Diya has m kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) m + 6 (b) m ÷ 6 (c) m − 6 (d) 6m
24. 24.Find the value of 6a + 7b when a = 6 and b = 2.
25. 25.Find the value of 2x + 7 when x = 2.
26. 26.Solve: x − 6 = 9. What is x?
27. 27.Find the value of 3a + 9b when a = 10 and b = 7.
28. 28.Solve: 3y = 51. What is y?
29. 29.Find the value of 3a + 4b when a = 9 and b = 6.
30. 30.Find the value of 3m − 2 when m = 11.
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
32. 32.Solve: x − 3 = 2. What is x?
33. 33.Find the value of 2a + 6b when a = 3 and b = 1.
34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
35. 35.Aarav has k shells. A friend has 2 times as many. Which expression shows how many shells the friend has? (a) k + 2 (b) 2k (c) k − 2 (d) k ÷ 2
36. 36.Find the value of 7p + 1 when p = 3.
37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
38. 38.Find the value of 6a + 8b when a = 7 and b = 5.
39. 39.Aditya shares m marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) 3m (b) m ÷ 3 (c) m − 3 (d) m + 3
40. 40.Solve: m + 2 = 12. What is m?

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