Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 623 · 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.Zoya has m pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) m − 7 (b) 7m (c) m + 7 (d) m ÷ 7
2. 2.Find the value of 9p + 6 when p = 4.
3. 3.Find the value of 4t − 5 when t = 2.
4. 4.Find the value of 3a + 4b when a = 9 and b = 10.
5. 5.Find the value of 6a + 5b when a = 2 and b = 1.
6. 6.Arjun has p kites. A friend has 9 fewer. Which expression shows how many kites the friend has? (a) p ÷ 9 (b) p − 9 (c) 9p (d) p + 9
7. 7.Isha has k shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) 3k (b) k − 3 (c) k + 3 (d) k ÷ 3
8. 8.Dev has n pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) n ÷ 6 (b) 6n (c) n − 6 (d) n + 6
9. 9.Solve: x + 7 = 24. What is x?
10. 10.Arjun shares p books equally among 3 friends. Which expression shows how many books each friend gets? (a) p ÷ 3 (b) p − 3 (c) p + 3 (d) 3p
11. 11.Find the value of 8m + 20 when m = 3.
12. 12.Find the value of 4a + 3b when a = 1 and b = 4.
13. 13.Find the value of 9a + 6b when a = 3 and b = 6.
14. 14.Find the value of 3a + 2b when a = 6 and b = 2.
15. 15.Find the value of 7p + 4 when p = 4.
16. 16.Solve: m ÷ 10 = 3. What is m?
17. 17.Solve: n + 3 = 13. What is n?
18. 18.Find the value of 5n − 27 when n = 6.
19. 19.Kabir has n shells. A friend has 7 fewer. Which expression shows how many shells the friend has? (a) n ÷ 7 (b) n + 7 (c) n − 7 (d) 7n
20. 20.Solve: 4y = 64. What is y?
21. 21.Manav has k kites. A friend has 2 times as many. Which expression shows how many kites the friend has? (a) k + 2 (b) 2k (c) k − 2 (d) k ÷ 2
22. 22.Solve: p − 9 = 4. What is p?
23. 23.Saanvi shares n crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) n ÷ 9 (b) 9n (c) n − 9 (d) n + 9
24. 24.Find the value of 9y − 35 when y = 9.
25. 25.Find the value of 5a + 9b when a = 9 and b = 7.
26. 26.Solve: 9n = 45. What is n?
27. 27.Find the value of 3y + 14 when y = 2.
28. 28.Riya has n crayons. A friend has 5 fewer. Which expression shows how many crayons the friend has? (a) n + 5 (b) 5n (c) n ÷ 5 (d) n − 5
29. 29.Find the value of 3y − 2 when y = 1.
30. 30.Find the value of 2a + 2b when a = 1 and b = 3.
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
32. 32.Ananya has m pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) 5m (b) m − 5 (c) m + 5 (d) m ÷ 5
33. 33.Find the value of 6y − 2 when y = 6.
34. 34.Find the value of 2a + 5b when a = 4 and b = 8.
35. 35.Riya has k kites. A friend has 2 times as many. Which expression shows how many kites the friend has? (a) k − 2 (b) k ÷ 2 (c) k + 2 (d) 2k
36. 36.Solve: y + 5 = 15. What is y?
37. 37.Find the value of 7a + 8b when a = 2 and b = 4.
38. 38.Find the value of 8t − 22 when t = 4.
39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
40. 40.Solve: y + 6 = 11. What is y?

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