Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 146 · 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 4a + 9b when a = 6 and b = 4.
2. 2.Tara has n balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
4. 4.Find the value of 5n + 5 when n = 12.
5. 5.Find the value of 5x − 11 when x = 3.
6. 6.Solve: p + 2 = 15. What is p?
7. 7.Find the value of 9a + 5b when a = 7 and b = 7.
8. 8.Find the value of 4y − 1 when y = 4.
9. 9.Solve: t + 5 = 10. What is t?
10. 10.Find the value of 8t + 20 when t = 1.
11. 11.Solve: 8m = 48. What is m?
12. 12.Solve: p ÷ 12 = 11. What is p?
13. 13.Meera shares m balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) m − 3 (b) m + 3 (c) 3m (d) m ÷ 3
14. 14.Lakshmi has n books. A friend has 2 more. Which expression shows how many books the friend has? (a) n − 2 (b) n ÷ 2 (c) 2n (d) n + 2
15. 15.Find the value of 4a + 5b when a = 7 and b = 2.
16. 16.Aarav has k shells. A friend has 2 more. Which expression shows how many shells the friend has? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
17. 17.Meera shares n balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) n + 5 (b) n ÷ 5 (c) n − 5 (d) 5n
18. 18.Find the value of 2p + 7 when p = 12.
19. 19.Find the value of 3a + 6b when a = 4 and b = 9.
20. 20.Riya has p mangoes. A friend has 7 more. Which expression shows how many mangoes the friend has? (a) p − 7 (b) p + 7 (c) p ÷ 7 (d) 7p
21. 21.Find the value of 5m − 18 when m = 4.
22. 22.Find the value of 2p − 14 when p = 8.
23. 23.Find the value of 2a + 9b when a = 4 and b = 10.
24. 24.Find the value of 6t + 8 when t = 1.
25. 25.Solve: n + 4 = 14. What is n?
26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
27. 27.Isha shares k bananas equally among 3 friends. Which expression shows how many bananas each friend gets? (a) k + 3 (b) k ÷ 3 (c) 3k (d) k − 3
28. 28.Isha shares p mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) p ÷ 2 (b) p + 2 (c) 2p (d) p − 2
29. 29.Kavya shares m balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) m − 2 (b) m ÷ 2 (c) 2m (d) m + 2
30. 30.Find the value of 6p + 5 when p = 1.
31. 31.Find the value of 6n − 2 when n = 7.
32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
33. 33.Find the value of 5t − 4 when t = 2.
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
35. 35.Diya has p books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) p ÷ 5 (b) p − 5 (c) 5p (d) p + 5
36. 36.Find the value of 6x + 14 when x = 1.
37. 37.Farhan has k balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) k + 6 (b) k − 6 (c) 6k (d) k ÷ 6
38. 38.Find the value of 3a + 3b when a = 2 and b = 1.
39. 39.Find the value of 5p + 1 when p = 1.
40. 40.Find the value of 8x + 20 when x = 10.

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets