Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 413 · 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 4m + 8 when m = 10.
2. 2.Aditya has m bananas. A friend has 6 times as many. Which expression shows how many bananas the friend has? (a) m − 6 (b) m ÷ 6 (c) m + 6 (d) 6m
3. 3.Solve: 7m = 21. What is m?
4. 4.Arjun shares k kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) k + 6 (b) k − 6 (c) 6k (d) k ÷ 6
5. 5.Find the value of 3a + 9b when a = 4 and b = 5.
6. 6.Find the value of 4a + 8b when a = 6 and b = 7.
7. 7.Find the value of 7x − 18 when x = 4.
8. 8.Solve: n − 2 = 4. What is n?
9. 9.Isha has k balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) k + 2 (b) k ÷ 2 (c) 2k (d) k − 2
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
11. 11.Solve: x + 9 = 21. What is x?
12. 12.Priya shares k balls equally among 6 friends. Which expression shows how many balls each friend gets? (a) k − 6 (b) k + 6 (c) k ÷ 6 (d) 6k
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
15. 15.Find the value of 4y − 4 when y = 2.
16. 16.Find the value of 3a + 8b when a = 7 and b = 9.
17. 17.Joseph has k mangoes. A friend has 9 times as many. Which expression shows how many mangoes the friend has? (a) k + 9 (b) k − 9 (c) 9k (d) k ÷ 9
18. 18.Farhan has n shells. A friend has 3 more. Which expression shows how many shells the friend has? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
19. 19.Find the value of 6n + 16 when n = 7.
20. 20.Solve: m − 7 = 18. What is m?
21. 21.Find the value of 8a + 4b when a = 1 and b = 1.
22. 22.Solve: m + 2 = 8. What is m?
23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
25. 25.Find the value of 8a + 8b when a = 10 and b = 5.
26. 26.Find the value of 2a + 8b when a = 10 and b = 6.
27. 27.Find the value of 4m − 2 when m = 5.
28. 28.Lakshmi has n crayons. A friend has 6 times as many. Which expression shows how many crayons the friend has? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
29. 29.Arjun shares m books equally among 3 friends. Which expression shows how many books each friend gets? (a) m − 3 (b) m ÷ 3 (c) m + 3 (d) 3m
30. 30.Solve: m − 8 = 7. What is m?
31. 31.Solve: y + 8 = 21. What is y?
32. 32.Find the value of 3a + 4b when a = 3 and b = 8.
33. 33.Find the value of 8y − 14 when y = 4.
34. 34.Find the value of 3y + 17 when y = 3.
35. 35.Solve: n − 3 = 17. What is n?
36. 36.Find the value of 6a + 2b when a = 1 and b = 8.
37. 37.Tara has k balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) k + 5 (b) 5k (c) k ÷ 5 (d) k − 5
38. 38.Solve: m − 11 = 7. What is m?
39. 39.Find the value of 7a + 2b when a = 7 and b = 5.
40. 40.Find the value of 7a + 7b when a = 7 and b = 2.

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