Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 450 · 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 6a + 9b when a = 4 and b = 9.
2. 2.Find the value of 4a + 8b when a = 1 and b = 6.
3. 3.Solve: t + 8 = 10. What is t?
4. 4.Find the value of 4a + 2b when a = 3 and b = 6.
5. 5.Nisha shares n shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) n − 6 (b) n + 6 (c) n ÷ 6 (d) 6n
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
7. 7.Find the value of 8n − 39 when n = 8.
8. 8.Find the value of 9a + 3b when a = 8 and b = 5.
9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
10. 10.Find the value of 3a + 2b when a = 7 and b = 3.
11. 11.Find the value of 8a + 2b when a = 1 and b = 1.
12. 12.Solve: 7y = 98. What is y?
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
14. 14.Find the value of 3n − 14 when n = 10.
15. 15.Rohan has m pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) m ÷ 3 (b) 3m (c) m + 3 (d) m − 3
16. 16.Solve: x + 12 = 13. What is x?
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
18. 18.Solve: m ÷ 11 = 17. What is m?
19. 19.Lakshmi has p balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) p + 3 (b) p − 3 (c) p ÷ 3 (d) 3p
20. 20.Find the value of 4y + 4 when y = 2.
21. 21.Solve: p − 6 = 13. What is p?
22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
23. 23.Nisha has m kites. A friend has 4 times as many. Which expression shows how many kites the friend has? (a) 4m (b) m − 4 (c) m ÷ 4 (d) m + 4
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
25. 25.Find the value of 4x − 33 when x = 12.
26. 26.Find the value of 8x − 82 when x = 11.
27. 27.Find the value of 8x + 15 when x = 5.
28. 28.Find the value of 2a + 6b when a = 5 and b = 3.
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
30. 30.Find the value of 6a + 5b when a = 4 and b = 4.
31. 31.Meera shares k mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) k − 6 (b) k + 6 (c) 6k (d) k ÷ 6
32. 32.Arjun has n bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
33. 33.Find the value of 9n − 3 when n = 3.
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
35. 35.Solve: y − 7 = 12. What is y?
36. 36.Kavya has p marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) p + 2 (b) 2p (c) p ÷ 2 (d) p − 2
37. 37.Find the value of 6p − 1 when p = 1.
38. 38.Saanvi has k bananas. A friend has 6 more. Which expression shows how many bananas the friend has? (a) k + 6 (b) 6k (c) k ÷ 6 (d) k − 6
39. 39.Dev has k books. A friend has 6 fewer. Which expression shows how many books the friend has? (a) k + 6 (b) k ÷ 6 (c) 6k (d) k − 6
40. 40.Find the value of 8a + 6b when a = 7 and b = 3.

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