Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 86 · 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 4y + 18 when y = 9.
2. 2.Find the value of 3a + 4b when a = 9 and b = 10.
3. 3.Find the value of 2a + 8b when a = 4 and b = 5.
4. 4.Find the value of 3a + 3b when a = 8 and b = 10.
5. 5.Find the value of 9m + 12 when m = 5.
6. 6.Joseph shares m kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) m + 9 (b) m ÷ 9 (c) 9m (d) m − 9
7. 7.Dev has k shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) k ÷ 4 (b) k − 4 (c) k + 4 (d) 4k
8. 8.Solve: t − 11 = 8. What is t?
9. 9.Find the value of 5a + 9b when a = 10 and b = 9.
10. 10.Solve: 2t = 2. What is t?
11. 11.Ishaan has n flowers. A friend has 6 more. Which expression shows how many flowers the friend has? (a) n ÷ 6 (b) 6n (c) n + 6 (d) n − 6
12. 12.Solve: 10m = 160. What is m?
13. 13.Find the value of 9y + 4 when y = 1.
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
15. 15.Find the value of 2y − 1 when y = 1.
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
17. 17.Dev has k laddoos. A friend has 9 times as many. Which expression shows how many laddoos the friend has? (a) k ÷ 9 (b) k − 9 (c) k + 9 (d) 9k
18. 18.Solve: m + 2 = 9. What is m?
19. 19.Solve: t − 5 = 17. What is t?
20. 20.Diya has n bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) n ÷ 9 (b) n + 9 (c) 9n (d) n − 9
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
22. 22.Sneha has m balls. A friend has 2 fewer. Which expression shows how many balls the friend has? (a) 2m (b) m ÷ 2 (c) m + 2 (d) m − 2
23. 23.Rohan has k kites. A friend has 4 more. Which expression shows how many kites the friend has? (a) k ÷ 4 (b) 4k (c) k + 4 (d) k − 4
24. 24.Rohan has p balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) p − 2 (b) p ÷ 2 (c) 2p (d) p + 2
25. 25.Meera has p kites. A friend has 2 fewer. Which expression shows how many kites the friend has? (a) p − 2 (b) 2p (c) p ÷ 2 (d) p + 2
26. 26.Find the value of 3a + 8b when a = 6 and b = 5.
27. 27.Find the value of 9a + 4b when a = 1 and b = 4.
28. 28.Find the value of 3p + 12 when p = 11.
29. 29.Find the value of 7y − 1 when y = 2.
30. 30.Solve: p − 2 = 11. What is p?
31. 31.Find the value of 4x − 3 when x = 2.
32. 32.Find the value of 2y − 15 when y = 12.
33. 33.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
34. 34.Find the value of 3y − 29 when y = 11.
35. 35.Solve: 7n = 119. What is n?
36. 36.Find the value of 7x − 14 when x = 4.
37. 37.Solve: n − 12 = 15. What is n?
38. 38.Find the value of 9a + 6b when a = 10 and b = 8.
39. 39.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
40. 40.Joseph has n flowers. A friend has 7 times as many. Which expression shows how many flowers the friend has? (a) n ÷ 7 (b) n − 7 (c) 7n (d) n + 7

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