Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 564 · 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.Solve: 10n = 20. What is n?
2. 2.Solve: 11x = 165. What is x?
3. 3.Find the value of 3n + 15 when n = 6.
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
5. 5.Find the value of 5t + 12 when t = 3.
6. 6.Find the value of 6n − 2 when n = 1.
7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
8. 8.Find the value of 4a + 3b when a = 1 and b = 4.
9. 9.Isha has k shells. A friend has 2 more. Which expression shows how many shells the friend has? (a) k + 2 (b) k ÷ 2 (c) k − 2 (d) 2k
10. 10.Solve: n − 6 = 16. What is n?
11. 11.Zoya has k laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
12. 12.Find the value of 9a + 6b when a = 3 and b = 4.
13. 13.Riya has k flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) k ÷ 4 (b) 4k (c) k + 4 (d) k − 4
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
15. 15.Solve: y + 8 = 25. What is y?
16. 16.Isha has p mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) p − 2 (b) 2p (c) p ÷ 2 (d) p + 2
17. 17.Solve: 11y = 88. What is y?
18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
19. 19.Find the value of 3n + 19 when n = 10.
20. 20.Solve: p + 9 = 12. What is p?
21. 21.Solve: y − 2 = 2. What is y?
22. 22.Find the value of 5a + 7b when a = 8 and b = 2.
23. 23.Pooja has p marbles. A friend has 8 times as many. Which expression shows how many marbles the friend has? (a) 8p (b) p ÷ 8 (c) p − 8 (d) p + 8
24. 24.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
25. 25.Find the value of 3a + 4b when a = 6 and b = 5.
26. 26.Solve: t + 9 = 23. What is t?
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
28. 28.Find the value of 2m + 13 when m = 10.
29. 29.Aditya 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
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
31. 31.Find the value of 7a + 5b when a = 6 and b = 10.
32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
33. 33.Find the value of 5t + 2 when t = 3.
34. 34.Find the value of 4p − 7 when p = 3.
35. 35.Nisha has n shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) n + 8 (b) n − 8 (c) 8n (d) n ÷ 8
36. 36.Find the value of 4y + 9 when y = 7.
37. 37.Find the value of 6t + 15 when t = 9.
38. 38.Find the value of 7a + 6b when a = 9 and b = 7.
39. 39.Find the value of 2t − 17 when t = 10.
40. 40.Solve: 6n = 12. What is n?

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