Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 390 · 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 3t + 14 when t = 2.
2. 2.Find the value of 4n + 8 when n = 3.
3. 3.Find the value of 2a + 5b when a = 2 and b = 8.
4. 4.Find the value of 4a + 4b when a = 2 and b = 6.
5. 5.Find the value of 7a + 2b when a = 5 and b = 5.
6. 6.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
7. 7.Manav has m pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) m − 4 (b) m + 4 (c) 4m (d) m ÷ 4
8. 8.Find the value of 6a + 7b when a = 5 and b = 2.
9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
10. 10.Find the value of 2a + 5b when a = 1 and b = 3.
11. 11.Find the value of 7x + 12 when x = 3.
12. 12.Manav has p marbles. A friend has 9 fewer. Which expression shows how many marbles the friend has? (a) 9p (b) p − 9 (c) p + 9 (d) p ÷ 9
13. 13.Find the value of 4a + 6b when a = 3 and b = 10.
14. 14.Find the value of 4x + 9 when x = 3.
15. 15.Solve: t + 4 = 7. What is t?
16. 16.Find the value of 3m − 15 when m = 6.
17. 17.Solve: y ÷ 3 = 9. What is y?
18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
19. 19.Find the value of 2t − 7 when t = 10.
20. 20.Find the value of 4a + 3b when a = 9 and b = 10.
21. 21.Find the value of 5a + 6b when a = 1 and b = 4.
22. 22.Find the value of 3a + 7b when a = 3 and b = 10.
23. 23.Riya has n marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
24. 24.Find the value of 8p − 33 when p = 11.
25. 25.Solve: x + 8 = 11. What is x?
26. 26.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
27. 27.Find the value of 2x − 2 when x = 9.
28. 28.Solve: t − 5 = 16. What is t?
29. 29.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
30. 30.Find the value of 3y − 23 when y = 10.
31. 31.Find the value of 3p + 16 when p = 12.
32. 32.Nisha has k balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) k + 7 (b) 7k (c) k − 7 (d) k ÷ 7
33. 33.Gurpreet shares n laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) n ÷ 7 (b) n + 7 (c) 7n (d) n − 7
34. 34.Karan has n kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
35. 35.Find the value of 2m + 17 when m = 2.
36. 36.Ananya has k balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) k + 2 (b) k ÷ 2 (c) k − 2 (d) 2k
37. 37.Solve: p + 5 = 15. What is p?
38. 38.Dev shares p balls equally among 7 friends. Which expression shows how many balls each friend gets? (a) p − 7 (b) 7p (c) p ÷ 7 (d) p + 7
39. 39.Sneha has k shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) k − 7 (b) 7k (c) k ÷ 7 (d) k + 7
40. 40.Solve: x + 6 = 9. What is x?

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