Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 35 · 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 L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
2. 2.Solve: m − 8 = 1. What is m?
3. 3.Find the value of 5m + 11 when m = 6.
4. 4.Arjun shares m pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) 3m (b) m + 3 (c) m − 3 (d) m ÷ 3
5. 5.Solve: m ÷ 7 = 12. What is m?
6. 6.Solve: n ÷ 3 = 7. What is n?
7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
9. 9.Find the value of 2a + 5b when a = 6 and b = 7.
10. 10.Solve: x ÷ 11 = 9. What is x?
11. 11.Find the value of 5a + 6b when a = 2 and b = 1.
12. 12.Solve: m ÷ 9 = 3. What is m?
13. 13.Solve: 12n = 132. What is n?
14. 14.Solve: m + 6 = 16. What is m?
15. 15.Find the value of 2a + 7b when a = 10 and b = 5.
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
17. 17.Find the value of 8m + 20 when m = 7.
18. 18.Dev has n pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) n − 7 (b) 7n (c) n ÷ 7 (d) n + 7
19. 19.Rohan shares n pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) n − 8 (b) n + 8 (c) 8n (d) n ÷ 8
20. 20.Find the value of 7x − 1 when x = 4.
21. 21.Find the value of 9a + 3b when a = 6 and b = 10.
22. 22.Aarav has k books. A friend has 9 more. Which expression shows how many books the friend has? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
23. 23.Solve: n − 2 = 20. What is n?
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
25. 25.Isha has n bananas. A friend has 4 fewer. Which expression shows how many bananas the friend has? (a) n + 4 (b) n − 4 (c) n ÷ 4 (d) 4n
26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
27. 27.Find the value of 2x + 17 when x = 2.
28. 28.Find the value of 7p − 5 when p = 4.
29. 29.Rohan has k marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) k + 2 (b) 2k (c) k ÷ 2 (d) k − 2
30. 30.Saanvi has n balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) n + 6 (b) n − 6 (c) n ÷ 6 (d) 6n
31. 31.Solve: m − 8 = 18. What is m?
32. 32.Find the value of 5a + 2b when a = 10 and b = 9.
33. 33.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
34. 34.Kavya has n marbles. A friend has 4 fewer. Which expression shows how many marbles the friend has? (a) n − 4 (b) n + 4 (c) n ÷ 4 (d) 4n
35. 35.Find the value of 2a + 3b when a = 4 and b = 1.
36. 36.Find the value of 4p − 22 when p = 10.
37. 37.Find the value of 8t − 41 when t = 9.
38. 38.Solve: 5x = 70. What is x?
39. 39.Find the value of 2a + 9b when a = 10 and b = 3.
40. 40.Find the value of 8y + 4 when y = 6.

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