Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 283 · 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: m ÷ 10 = 10. What is m?
2. 2.Find the value of 4a + 9b when a = 5 and b = 7.
3. 3.Find the value of 7a + 3b when a = 1 and b = 10.
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
5. 5.Find the value of 3a + 5b when a = 8 and b = 7.
6. 6.Find the value of 7m + 12 when m = 12.
7. 7.Find the value of 7t + 10 when t = 5.
8. 8.Solve: n + 6 = 7. What is n?
9. 9.Find the value of 8y + 14 when y = 6.
10. 10.Find the value of 6y − 1 when y = 2.
11. 11.Find the value of 2t + 18 when t = 3.
12. 12.Riya has p mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) p + 6 (b) p − 6 (c) p ÷ 6 (d) 6p
13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
15. 15.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
16. 16.Find the value of 8a + 2b when a = 7 and b = 1.
17. 17.Diya has n balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) n + 4 (b) n − 4 (c) 4n (d) n ÷ 4
18. 18.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
19. 19.Nisha has p pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) p − 9 (b) 9p (c) p ÷ 9 (d) p + 9
20. 20.Aarav shares p shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) p + 2 (b) p − 2 (c) 2p (d) p ÷ 2
21. 21.Find the value of 2a + 3b when a = 3 and b = 6.
22. 22.Dev shares n balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) n + 4 (b) n − 4 (c) n ÷ 4 (d) 4n
23. 23.Find the value of 2a + 4b when a = 10 and b = 4.
24. 24.Find the value of 2t − 7 when t = 12.
25. 25.Riya shares p kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) 8p (b) p + 8 (c) p ÷ 8 (d) p − 8
26. 26.Solve: n − 11 = 17. What is n?
27. 27.Solve: n ÷ 11 = 12. What is n?
28. 28.Solve: x ÷ 11 = 6. What is x?
29. 29.Arjun has m kites. A friend has 4 fewer. Which expression shows how many kites the friend has? (a) m + 4 (b) m ÷ 4 (c) m − 4 (d) 4m
30. 30.Find the value of 2a + 3b when a = 6 and b = 1.
31. 31.Solve: t + 2 = 15. What is t?
32. 32.Find the value of 5a + 2b when a = 7 and b = 4.
33. 33.Karan has n crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) n − 6 (b) n + 6 (c) 6n (d) n ÷ 6
34. 34.Find the value of 9a + 5b when a = 4 and b = 7.
35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
36. 36.Find the value of 9p + 3 when p = 1.
37. 37.Solve: n − 5 = 10. What is n?
38. 38.Find the value of 6a + 9b when a = 2 and b = 8.
39. 39.Solve: m − 7 = 4. What is m?
40. 40.Solve: 8y = 48. What is y?

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