Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 502 · 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.Solve: p ÷ 9 = 1. What is p?
2. 2.Find the value of 7a + 3b when a = 3 and b = 8.
3. 3.Isha shares n bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) n − 2 (b) 2n (c) n ÷ 2 (d) n + 2
4. 4.Solve: 2p = 16. What is p?
5. 5.Solve: n ÷ 2 = 9. What is n?
6. 6.Solve: y − 5 = 19. What is y?
7. 7.Farhan has k shells. A friend has 3 times as many. Which expression shows how many shells the friend has? (a) k + 3 (b) k − 3 (c) k ÷ 3 (d) 3k
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
9. 9.Lakshmi has m balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) m ÷ 5 (b) 5m (c) m − 5 (d) m + 5
10. 10.Lakshmi has p bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) p − 3 (b) 3p (c) p + 3 (d) p ÷ 3
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
12. 12.Find the value of 3a + 9b when a = 10 and b = 1.
13. 13.Solve: n − 4 = 10. What is n?
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
15. 15.Find the value of 4a + 7b when a = 6 and b = 4.
16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
17. 17.Find the value of 9a + 2b when a = 7 and b = 4.
18. 18.Find the value of 6y − 60 when y = 11.
19. 19.Solve: p − 12 = 10. What is p?
20. 20.Find the value of 4m + 15 when m = 11.
21. 21.Find the value of 5m − 17 when m = 5.
22. 22.Find the value of 5a + 5b when a = 6 and b = 8.
23. 23.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
24. 24.Find the value of 7a + 3b when a = 10 and b = 2.
25. 25.Find the value of 5a + 8b when a = 5 and b = 9.
26. 26.Find the value of 7p − 2 when p = 2.
27. 27.Manav has m kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) m + 3 (b) m ÷ 3 (c) 3m (d) m − 3
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
31. 31.Find the value of 5t − 2 when t = 1.
32. 32.Find the value of 6a + 2b when a = 3 and b = 6.
33. 33.Find the value of 2m + 4 when m = 11.
34. 34.Rohan has k shells. A friend has 9 times as many. Which expression shows how many shells the friend has? (a) k − 9 (b) 9k (c) k ÷ 9 (d) k + 9
35. 35.Solve: m − 2 = 6. What is m?
36. 36.Find the value of 9a + 3b when a = 7 and b = 6.
37. 37.Find the value of 4a + 2b when a = 8 and b = 1.
38. 38.Find the value of 2a + 5b when a = 5 and b = 9.
39. 39.Rohan has n mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) n + 6 (b) n ÷ 6 (c) 6n (d) n − 6
40. 40.Find the value of 3x − 1 when x = 2.

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