Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 404 · 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.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
3. 3.Find the value of 6a + 6b when a = 5 and b = 4.
4. 4.Gurpreet has k bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
5. 5.Find the value of 9m + 3 when m = 3.
6. 6.Find the value of 9a + 3b when a = 5 and b = 3.
7. 7.Find the value of 8t + 11 when t = 10.
8. 8.Diya has p crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) p + 3 (b) p ÷ 3 (c) 3p (d) p − 3
9. 9.Solve: p + 12 = 15. What is p?
10. 10.Find the value of 7a + 6b when a = 9 and b = 5.
11. 11.Find the value of 2a + 7b when a = 7 and b = 3.
12. 12.Dev has m bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
13. 13.Solve: y + 7 = 13. What is y?
14. 14.Find the value of 3a + 2b when a = 3 and b = 1.
15. 15.Kabir shares p flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) p + 8 (b) p ÷ 8 (c) p − 8 (d) 8p
16. 16.Arjun shares m crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) m ÷ 7 (b) m − 7 (c) 7m (d) m + 7
17. 17.Solve: x + 2 = 8. What is x?
18. 18.Pooja has m books. A friend has 3 more. Which expression shows how many books the friend has? (a) m ÷ 3 (b) m − 3 (c) m + 3 (d) 3m
19. 19.Find the value of 3m − 1 when m = 1.
20. 20.Solve: y + 2 = 6. What is y?
21. 21.Find the value of 3m + 9 when m = 6.
22. 22.Solve: t + 6 = 9. What is t?
23. 23.Find the value of 4y + 4 when y = 12.
24. 24.Solve: 10n = 150. What is n?
25. 25.Find the value of 9t − 31 when t = 6.
26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
27. 27.Find the value of 6a + 3b when a = 1 and b = 10.
28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
30. 30.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
32. 32.Gurpreet has m marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) 4m (b) m − 4 (c) m ÷ 4 (d) m + 4
33. 33.Solve: y + 5 = 14. What is y?
34. 34.Solve: p + 12 = 32. What is p?
35. 35.Solve: y + 7 = 21. What is y?
36. 36.Find the value of 2n + 17 when n = 7.
37. 37.Find the value of 2n − 19 when n = 12.
38. 38.Find the value of 5a + 2b when a = 2 and b = 7.
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
40. 40.Solve: n + 4 = 13. What is n?

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