Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 46 · 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 3m + 15 when m = 7.
2. 2.Diya shares n shells equally among 9 friends. Which expression shows how many shells each friend gets? (a) n + 9 (b) 9n (c) n − 9 (d) n ÷ 9
3. 3.Isha has k balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) k + 2 (b) k ÷ 2 (c) 2k (d) k − 2
4. 4.Solve: n − 8 = 11. What is n?
5. 5.Solve: m − 4 = 3. What is m?
6. 6.Find the value of 8a + 8b when a = 10 and b = 1.
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
8. 8.Farhan shares m mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) m − 7 (b) 7m (c) m ÷ 7 (d) m + 7
9. 9.Find the value of 6n − 16 when n = 4.
10. 10.Find the value of 3p + 5 when p = 11.
11. 11.Farhan has k pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) k + 4 (b) k − 4 (c) k ÷ 4 (d) 4k
12. 12.Find the value of 3y + 16 when y = 12.
13. 13.Find the value of 7a + 5b when a = 2 and b = 3.
14. 14.Solve: t ÷ 4 = 16. What is t?
15. 15.Find the value of 4x − 7 when x = 6.
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
17. 17.Solve: n − 11 = 12. What is n?
18. 18.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
19. 19.Find the value of 5a + 4b when a = 9 and b = 6.
20. 20.Solve: p − 10 = 19. What is p?
21. 21.Rahul has k flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
23. 23.Find the value of 3y + 11 when y = 12.
24. 24.Find the value of 2a + 5b when a = 7 and b = 7.
25. 25.Pooja has n balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) 8n (b) n − 8 (c) n ÷ 8 (d) n + 8
26. 26.Find the value of 6a + 8b when a = 3 and b = 4.
27. 27.Saanvi has k mangoes. A friend has 2 times as many. Which expression shows how many mangoes the friend has? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
29. 29.Find the value of 8x − 22 when x = 9.
30. 30.Find the value of 2p − 8 when p = 7.
31. 31.Tara shares n laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) n + 2 (b) n − 2 (c) n ÷ 2 (d) 2n
32. 32.Solve: p − 5 = 9. What is p?
33. 33.Solve: m ÷ 4 = 8. What is m?
34. 34.Find the value of 6a + 9b when a = 2 and b = 4.
35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
36. 36.Solve: y − 6 = 14. What is y?
37. 37.Solve: n − 2 = 9. What is n?
38. 38.Find the value of 7n + 5 when n = 8.
39. 39.Solve: x + 4 = 11. What is x?
40. 40.Solve: m ÷ 10 = 20. What is m?

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