Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 186 · 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.Joseph has n laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) 4n (b) n − 4 (c) n ÷ 4 (d) n + 4
2. 2.Find the value of 6x − 35 when x = 7.
3. 3.Find the value of 3a + 4b when a = 10 and b = 2.
4. 4.Find the value of 3y − 2 when y = 1.
5. 5.Solve: n ÷ 7 = 4. What is n?
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
7. 7.Solve: t ÷ 7 = 18. What is t?
8. 8.Solve: x + 9 = 20. What is x?
9. 9.Find the value of 2n − 23 when n = 12.
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
11. 11.Lakshmi has m pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) m ÷ 2 (b) m − 2 (c) m + 2 (d) 2m
12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
13. 13.Find the value of 7a + 9b when a = 10 and b = 6.
14. 14.Pooja shares m shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7
15. 15.Find the value of 4a + 5b when a = 5 and b = 4.
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
17. 17.Lakshmi shares p pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) p − 6 (b) p + 6 (c) p ÷ 6 (d) 6p
18. 18.Solve: 8x = 48. What is x?
19. 19.Find the value of 3p − 19 when p = 9.
20. 20.Find the value of 5a + 2b when a = 7 and b = 7.
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
23. 23.Priya shares p flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) 4p (b) p − 4 (c) p ÷ 4 (d) p + 4
24. 24.Find the value of 3n − 2 when n = 1.
25. 25.Solve: 10t = 10. What is t?
26. 26.Find the value of 4a + 5b when a = 8 and b = 5.
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
28. 28.Find the value of 9y + 16 when y = 11.
29. 29.Find the value of 6a + 7b when a = 5 and b = 7.
30. 30.Find the value of 8p − 10 when p = 12.
31. 31.Solve: x ÷ 6 = 18. What is x?
32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
33. 33.Find the value of 5y + 4 when y = 8.
34. 34.Find the value of 4a + 9b when a = 6 and b = 10.
35. 35.Find the value of 8n − 29 when n = 5.
36. 36.Find the value of 6p + 18 when p = 8.
37. 37.Nisha has n laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) n + 5 (b) n − 5 (c) n ÷ 5 (d) 5n
38. 38.Solve: n ÷ 3 = 11. What is n?
39. 39.Ananya has n kites. A friend has 4 fewer. Which expression shows how many kites the friend has? (a) 4n (b) n ÷ 4 (c) n − 4 (d) n + 4
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?

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