Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 529 · 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 3a + 7b when a = 8 and b = 5.
2. 2.Solve: 7x = 21. What is x?
3. 3.Solve: n ÷ 4 = 16. What is n?
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
5. 5.Find the value of 6a + 2b when a = 10 and b = 5.
6. 6.Find the value of 7t − 12 when t = 2.
7. 7.Find the value of 4a + 2b when a = 7 and b = 9.
8. 8.Find the value of 9x + 1 when x = 7.
9. 9.Find the value of 9a + 5b when a = 3 and b = 7.
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
11. 11.Solve: n − 5 = 12. What is n?
12. 12.Solve: y ÷ 9 = 9. What is y?
13. 13.Find the value of 8a + 3b when a = 2 and b = 4.
14. 14.Find the value of 7t + 6 when t = 6.
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
16. 16.Riya has m balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
17. 17.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
19. 19.Find the value of 9t − 75 when t = 10.
20. 20.Find the value of 2a + 5b when a = 9 and b = 7.
21. 21.Solve: p + 2 = 9. What is p?
22. 22.Find the value of 3y + 14 when y = 6.
23. 23.Find the value of 6a + 5b when a = 1 and b = 7.
24. 24.Find the value of 9a + 2b when a = 1 and b = 8.
25. 25.Solve: 7t = 112. What is t?
26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
28. 28.Find the value of 9n − 99 when n = 12.
29. 29.Ananya has n kites. A friend has 3 fewer. Which expression shows how many kites the friend has? (a) n − 3 (b) n ÷ 3 (c) n + 3 (d) 3n
30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
33. 33.Diya has p books. A friend has 2 more. Which expression shows how many books the friend has? (a) p + 2 (b) 2p (c) p ÷ 2 (d) p − 2
34. 34.Solve: y ÷ 5 = 15. What is y?
35. 35.Find the value of 8a + 5b when a = 8 and b = 2.
36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
37. 37.Arjun shares m crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) 7m (b) m − 7 (c) m ÷ 7 (d) m + 7
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
39. 39.Arjun has k balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) k ÷ 3 (b) k + 3 (c) 3k (d) k − 3
40. 40.Find the value of 3y + 18 when y = 8.

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