Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 613 · 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 6a + 9b when a = 4 and b = 5.
2. 2.Solve: x ÷ 8 = 4. What is x?
3. 3.Find the value of 2a + 7b when a = 10 and b = 4.
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
5. 5.Nisha has p shells. A friend has 2 times as many. Which expression shows how many shells the friend has? (a) p + 2 (b) 2p (c) p ÷ 2 (d) p − 2
6. 6.Find the value of 2n + 5 when n = 3.
7. 7.Priya has n bananas. A friend has 9 times as many. Which expression shows how many bananas the friend has? (a) n ÷ 9 (b) n + 9 (c) n − 9 (d) 9n
8. 8.Rohan has n flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) 4n (b) n − 4 (c) n + 4 (d) n ÷ 4
9. 9.Solve: n + 5 = 12. What is n?
10. 10.Solve: m + 9 = 27. What is m?
11. 11.Find the value of 3a + 7b when a = 6 and b = 9.
12. 12.Solve: x ÷ 8 = 5. What is x?
13. 13.Find the value of 3t − 1 when t = 3.
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
15. 15.Find the value of 8a + 3b when a = 3 and b = 8.
16. 16.Joseph has m flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) m − 2 (b) m ÷ 2 (c) m + 2 (d) 2m
17. 17.Solve: x − 10 = 7. What is x?
18. 18.Find the value of 9a + 2b when a = 9 and b = 3.
19. 19.Find the value of 6t − 2 when t = 1.
20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
21. 21.Solve: x ÷ 10 = 1. What is x?
22. 22.Rohan has p bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) p ÷ 4 (b) 4p (c) p + 4 (d) p − 4
23. 23.Find the value of 9a + 6b when a = 6 and b = 3.
24. 24.Find the value of 2p + 4 when p = 7.
25. 25.Find the value of 4p + 7 when p = 1.
26. 26.Meera has k laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) 3k (b) k ÷ 3 (c) k + 3 (d) k − 3
27. 27.Find the value of 3t − 2 when t = 11.
28. 28.Dev has p balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) p + 6 (b) p ÷ 6 (c) p − 6 (d) 6p
29. 29.Manav has p pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) p ÷ 7 (b) p − 7 (c) 7p (d) p + 7
30. 30.Lakshmi shares p shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) p + 7 (b) 7p (c) p ÷ 7 (d) p − 7
31. 31.Find the value of 2n + 19 when n = 8.
32. 32.Solve: p + 10 = 29. What is p?
33. 33.Solve: m + 6 = 10. What is m?
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
35. 35.Gurpreet has m laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) 9m (b) m − 9 (c) m + 9 (d) m ÷ 9
36. 36.Solve: 7t = 140. What is t?
37. 37.Solve: m + 2 = 3. What is m?
38. 38.Find the value of 6t + 3 when t = 4.
39. 39.Solve: x + 10 = 27. What is x?
40. 40.Solve: m − 7 = 9. What is m?

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