Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 539 · 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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
3. 3.Find the value of 6t − 17 when t = 9.
4. 4.Find the value of 9m − 3 when m = 7.
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
6. 6.Find the value of 3x − 18 when x = 7.
7. 7.Solve: y + 8 = 27. What is y?
8. 8.Find the value of 7t + 10 when t = 8.
9. 9.Find the value of 8a + 2b when a = 6 and b = 5.
10. 10.Solve: n + 6 = 21. What is n?
11. 11.Solve: t ÷ 8 = 11. What is t?
12. 12.Find the value of 3a + 3b when a = 9 and b = 5.
13. 13.Aarav has n mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) n + 6 (b) n − 6 (c) n ÷ 6 (d) 6n
14. 14.Find the value of 5x − 1 when x = 8.
15. 15.Rohan has p laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) 6p (b) p + 6 (c) p ÷ 6 (d) p − 6
16. 16.Solve: 6t = 24. What is t?
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
18. 18.Solve: x + 4 = 9. What is x?
19. 19.Solve: 3n = 45. What is n?
20. 20.Kabir has n pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) n ÷ 2 (b) n − 2 (c) n + 2 (d) 2n
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
22. 22.Find the value of 5m + 6 when m = 2.
23. 23.Solve: m − 6 = 5. What is m?
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
25. 25.Kavya has m laddoos. A friend has 2 times as many. Which expression shows how many laddoos the friend has? (a) m + 2 (b) 2m (c) m − 2 (d) m ÷ 2
26. 26.Kabir has n balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) n − 7 (b) n + 7 (c) n ÷ 7 (d) 7n
27. 27.Find the value of 5a + 4b when a = 8 and b = 6.
28. 28.Find the value of 4t + 9 when t = 4.
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
30. 30.Find the value of 2a + 5b when a = 6 and b = 10.
31. 31.Vivaan has p books. A friend has 7 more. Which expression shows how many books the friend has? (a) p − 7 (b) p ÷ 7 (c) 7p (d) p + 7
32. 32.Find the value of 6x − 21 when x = 12.
33. 33.Solve: 9y = 45. What is y?
34. 34.Find the value of 2a + 4b when a = 3 and b = 8.
35. 35.Find the value of 3a + 2b when a = 10 and b = 3.
36. 36.Find the value of 3x + 14 when x = 7.
37. 37.Find the value of 5a + 9b when a = 9 and b = 8.
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
39. 39.Sneha shares p kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) p ÷ 7 (b) p + 7 (c) p − 7 (d) 7p
40. 40.Find the value of 4m − 3 when m = 9.

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