Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 14 · 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 7m + 20 when m = 9.
2. 2.Gurpreet shares k laddoos equally among 6 friends. Which expression shows how many laddoos each friend gets? (a) k − 6 (b) k ÷ 6 (c) k + 6 (d) 6k
3. 3.Find the value of 6t + 18 when t = 4.
4. 4.Solve: 9y = 45. What is y?
5. 5.Find the value of 3a + 3b when a = 8 and b = 7.
6. 6.Kabir has n laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) n + 8 (b) n ÷ 8 (c) n − 8 (d) 8n
7. 7.Solve: x + 11 = 15. What is x?
8. 8.Solve: n + 5 = 15. What is n?
9. 9.Aarav has p pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) p − 3 (b) p ÷ 3 (c) p + 3 (d) 3p
10. 10.Find the value of 6n − 2 when n = 6.
11. 11.Solve: m − 10 = 18. What is m?
12. 12.Find the value of 7p − 2 when p = 1.
13. 13.Find the value of 2a + 2b when a = 2 and b = 8.
14. 14.Solve: p ÷ 8 = 19. What is p?
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
16. 16.Solve: x + 12 = 14. What is x?
17. 17.Priya has n marbles. A friend has 5 fewer. Which expression shows how many marbles the friend has? (a) n − 5 (b) n ÷ 5 (c) n + 5 (d) 5n
18. 18.Nisha has k laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) k + 6 (b) k ÷ 6 (c) k − 6 (d) 6k
19. 19.Find the value of 4n + 1 when n = 4.
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
21. 21.Meera shares n books equally among 4 friends. Which expression shows how many books each friend gets? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
22. 22.Solve: x − 5 = 14. What is x?
23. 23.Find the value of 9t + 13 when t = 2.
24. 24.Find the value of 6t − 56 when t = 11.
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
28. 28.Find the value of 7m + 8 when m = 9.
29. 29.Find the value of 3a + 3b when a = 4 and b = 9.
30. 30.Find the value of 2y + 13 when y = 7.
31. 31.Find the value of 6a + 8b when a = 2 and b = 4.
32. 32.Find the value of 4t + 11 when t = 4.
33. 33.Find the value of 6a + 8b when a = 7 and b = 3.
34. 34.Find the value of 5a + 7b when a = 7 and b = 8.
35. 35.Find the value of 3m + 6 when m = 8.
36. 36.Isha shares p marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) p ÷ 2 (b) p + 2 (c) 2p (d) p − 2
37. 37.Saanvi has m books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) m + 2 (b) m − 2 (c) 2m (d) m ÷ 2
38. 38.Solve: 8x = 48. What is x?
39. 39.Karan has n pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) 4n (b) n − 4 (c) n ÷ 4 (d) n + 4
40. 40.Find the value of 3a + 3b when a = 10 and b = 10.

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