Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 585 · 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 2a + 3b when a = 8 and b = 8.
2. 2.Solve: m − 7 = 6. What is m?
3. 3.Solve: p − 3 = 5. What is p?
4. 4.Find the value of 6n + 12 when n = 5.
5. 5.Find the value of 8t − 10 when t = 11.
6. 6.Gurpreet shares k mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) 5k (b) k − 5 (c) k ÷ 5 (d) k + 5
7. 7.Solve: n − 7 = 18. What is n?
8. 8.Solve: x + 2 = 22. What is x?
9. 9.Find the value of 8a + 5b when a = 10 and b = 1.
10. 10.Find the value of 6m − 2 when m = 7.
11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
12. 12.Find the value of 3n + 8 when n = 2.
13. 13.Find the value of 2m − 3 when m = 6.
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
15. 15.Find the value of 5y + 20 when y = 10.
16. 16.Solve: 10y = 190. What is y?
17. 17.Solve: y + 9 = 10. What is y?
18. 18.Find the value of 3x + 20 when x = 3.
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
20. 20.Find the value of 8x + 1 when x = 9.
21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
22. 22.Meera has m pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) m + 7 (b) 7m (c) m ÷ 7 (d) m − 7
23. 23.Dev shares n bananas equally among 5 friends. Which expression shows how many bananas each friend gets? (a) n ÷ 5 (b) n + 5 (c) n − 5 (d) 5n
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
25. 25.Aditya has m bananas. A friend has 6 more. Which expression shows how many bananas the friend has? (a) 6m (b) m − 6 (c) m + 6 (d) m ÷ 6
26. 26.Find the value of 7n + 3 when n = 12.
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
28. 28.Find the value of 8t + 5 when t = 5.
29. 29.Find the value of 3a + 3b when a = 8 and b = 7.
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
31. 31.Find the value of 8x + 19 when x = 9.
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
33. 33.Joseph has m flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) 3m (b) m ÷ 3 (c) m + 3 (d) m − 3
34. 34.Find the value of 9a + 6b when a = 10 and b = 7.
35. 35.Find the value of 6a + 7b when a = 4 and b = 6.
36. 36.Find the value of 6n − 27 when n = 8.
37. 37.Find the value of 9t − 9 when t = 2.
38. 38.Arjun shares k balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) k ÷ 2 (b) 2k (c) k − 2 (d) k + 2
39. 39.Find the value of 5a + 7b when a = 6 and b = 9.
40. 40.Find the value of 6x + 15 when x = 5.

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