Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 37 · 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 7t − 6 when t = 4.
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
3. 3.Find the value of 4a + 2b when a = 1 and b = 3.
4. 4.Farhan has m marbles. A friend has 5 more. Which expression shows how many marbles the friend has? (a) m ÷ 5 (b) m − 5 (c) 5m (d) m + 5
5. 5.Solve: t ÷ 7 = 3. What is t?
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
7. 7.Priya has n pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
8. 8.Find the value of 4x + 2 when x = 11.
9. 9.Solve: m + 3 = 13. What is m?
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
11. 11.Sneha has n mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) n ÷ 2 (b) 2n (c) n + 2 (d) n − 2
12. 12.Find the value of 5a + 3b when a = 3 and b = 8.
13. 13.Solve: m + 7 = 15. What is m?
14. 14.Priya has m bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) m + 3 (b) m − 3 (c) m ÷ 3 (d) 3m
15. 15.Rahul has p crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) p + 6 (b) 6p (c) p − 6 (d) p ÷ 6
16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
17. 17.Find the value of 2a + 2b when a = 8 and b = 9.
18. 18.Zoya shares n pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n
19. 19.Solve: p − 11 = 19. What is p?
20. 20.Priya shares k books equally among 6 friends. Which expression shows how many books each friend gets? (a) k − 6 (b) 6k (c) k + 6 (d) k ÷ 6
21. 21.Find the value of 3n − 23 when n = 11.
22. 22.Find the value of 3p − 9 when p = 6.
23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
24. 24.Find the value of 2p − 2 when p = 2.
25. 25.Find the value of 4a + 2b when a = 5 and b = 5.
26. 26.Find the value of 6m + 14 when m = 9.
27. 27.Arjun has m pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) 7m (b) m ÷ 7 (c) m − 7 (d) m + 7
28. 28.Find the value of 7a + 8b when a = 3 and b = 5.
29. 29.Find the value of 4x − 11 when x = 4.
30. 30.Find the value of 4y + 4 when y = 12.
31. 31.Solve: 10x = 110. What is x?
32. 32.Find the value of 8y − 3 when y = 2.
33. 33.Find the value of 2a + 6b when a = 2 and b = 5.
34. 34.Solve: x − 9 = 7. What is x?
35. 35.Isha shares n crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) 5n (b) n − 5 (c) n ÷ 5 (d) n + 5
36. 36.Find the value of 9m − 15 when m = 3.
37. 37.Find the value of 6p − 16 when p = 10.
38. 38.Solve: 2p = 4. What is p?
39. 39.Find the value of 2m + 6 when m = 7.
40. 40.Find the value of 2p + 8 when p = 6.

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