Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 269 · 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 + 6b when a = 8 and b = 4.
2. 2.Solve: m − 11 = 8. What is m?
3. 3.Diya has n mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) 8n (b) n ÷ 8 (c) n + 8 (d) n − 8
4. 4.Rahul 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
5. 5.Solve: 9t = 54. What is t?
6. 6.Find the value of 9x − 8 when x = 2.
7. 7.Diya shares p books equally among 5 friends. Which expression shows how many books each friend gets? (a) p + 5 (b) p ÷ 5 (c) p − 5 (d) 5p
8. 8.Find the value of 9n + 15 when n = 7.
9. 9.Tara shares n books equally among 7 friends. Which expression shows how many books each friend gets? (a) n + 7 (b) 7n (c) n − 7 (d) n ÷ 7
10. 10.Find the value of 8p − 71 when p = 10.
11. 11.Solve: x + 3 = 6. What is x?
12. 12.Find the value of 8m + 2 when m = 1.
13. 13.Find the value of 3a + 3b when a = 4 and b = 3.
14. 14.Rohan has p flowers. A friend has 6 times as many. Which expression shows how many flowers the friend has? (a) p + 6 (b) p ÷ 6 (c) 6p (d) p − 6
15. 15.Diya has p shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) p − 3 (b) p + 3 (c) p ÷ 3 (d) 3p
16. 16.Solve: x + 8 = 23. What is x?
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
18. 18.Rahul has k shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) 3k (b) k + 3 (c) k ÷ 3 (d) k − 3
19. 19.Solve: x ÷ 8 = 20. What is x?
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
21. 21.Solve: y ÷ 4 = 4. What is y?
22. 22.Find the value of 4n − 10 when n = 3.
23. 23.Sneha has n flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) n ÷ 7 (b) 7n (c) n + 7 (d) n − 7
24. 24.Find the value of 2p + 16 when p = 2.
25. 25.Find the value of 2a + 4b when a = 4 and b = 3.
26. 26.Solve: x + 7 = 22. What is x?
27. 27.Find the value of 4y + 2 when y = 10.
28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
29. 29.Find the value of 3n + 2 when n = 10.
30. 30.Tara has k crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) 4k (b) k − 4 (c) k + 4 (d) k ÷ 4
31. 31.Find the value of 9p + 5 when p = 11.
32. 32.Find the value of 4y − 1 when y = 1.
33. 33.Manav shares n kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) n − 3 (b) n ÷ 3 (c) 3n (d) n + 3
34. 34.Solve: t ÷ 6 = 3. What is t?
35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
36. 36.Find the value of 9a + 3b when a = 5 and b = 3.
37. 37.Aarav has k bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) k ÷ 8 (b) 8k (c) k + 8 (d) k − 8
38. 38.Find the value of 2a + 8b when a = 7 and b = 10.
39. 39.Solve: 10m = 10. What is m?
40. 40.Find the value of 9a + 2b when a = 4 and b = 2.

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