Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 74 · 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 7x − 14 when x = 3.
2. 2.Manav has n marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) 7n (b) n + 7 (c) n ÷ 7 (d) n − 7
3. 3.Arjun shares k laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) k − 3 (b) k + 3 (c) k ÷ 3 (d) 3k
4. 4.Priya shares m books equally among 6 friends. Which expression shows how many books each friend gets? (a) m − 6 (b) m + 6 (c) m ÷ 6 (d) 6m
5. 5.Arjun shares k mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) k + 5 (b) k − 5 (c) 5k (d) k ÷ 5
6. 6.Find the value of 5a + 6b when a = 5 and b = 9.
7. 7.Find the value of 2a + 7b when a = 5 and b = 9.
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
9. 9.Solve: y + 12 = 17. What is y?
10. 10.Find the value of 2a + 5b when a = 7 and b = 5.
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
12. 12.Find the value of 5x − 19 when x = 4.
13. 13.Find the value of 7t − 2 when t = 5.
14. 14.Find the value of 3a + 9b when a = 4 and b = 10.
15. 15.Find the value of 7p + 3 when p = 8.
16. 16.Rohan has m bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) m + 4 (b) 4m (c) m − 4 (d) m ÷ 4
17. 17.Solve: y − 2 = 13. What is y?
18. 18.Find the value of 3a + 3b when a = 3 and b = 7.
19. 19.Solve: t ÷ 3 = 9. What is t?
20. 20.Find the value of 9a + 6b when a = 6 and b = 3.
21. 21.Find the value of 4m − 4 when m = 8.
22. 22.Kabir has m bananas. A friend has 5 fewer. Which expression shows how many bananas the friend has? (a) 5m (b) m ÷ 5 (c) m − 5 (d) m + 5
23. 23.Solve: 12p = 180. What is p?
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
25. 25.Find the value of 2n + 11 when n = 8.
26. 26.Solve: n − 9 = 1. What is n?
27. 27.Find the value of 5p − 38 when p = 12.
28. 28.Solve: x + 3 = 8. What is x?
29. 29.Find the value of 2p + 7 when p = 9.
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
31. 31.Find the value of 5a + 3b when a = 3 and b = 3.
32. 32.Kavya shares p laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) p ÷ 3 (b) p + 3 (c) p − 3 (d) 3p
33. 33.Solve: y + 5 = 14. What is y?
34. 34.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
36. 36.Solve: t ÷ 6 = 3. What is t?
37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
38. 38.Find the value of 3t − 18 when t = 8.
39. 39.Farhan has m crayons. A friend has 5 times as many. Which expression shows how many crayons the friend has? (a) m − 5 (b) 5m (c) m + 5 (d) m ÷ 5
40. 40.Find the value of 5m − 5 when m = 7.

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