Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 124 · 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.Solve: 8t = 24. What is t?
2. 2.Solve: n + 10 = 16. What is n?
3. 3.Karan shares m bananas equally among 6 friends. Which expression shows how many bananas each friend gets? (a) m − 6 (b) 6m (c) m ÷ 6 (d) m + 6
4. 4.Solve: 4t = 24. What is t?
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
6. 6.Find the value of 7a + 7b when a = 7 and b = 9.
7. 7.Find the value of 7m + 14 when m = 6.
8. 8.Nisha has n books. A friend has 3 fewer. Which expression shows how many books the friend has? (a) n ÷ 3 (b) 3n (c) n − 3 (d) n + 3
9. 9.Find the value of 2y + 9 when y = 8.
10. 10.Solve: p ÷ 8 = 6. What is p?
11. 11.Solve: x − 5 = 14. What is x?
12. 12.Find the value of 3a + 3b when a = 10 and b = 4.
13. 13.Solve: 7n = 119. What is n?
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
15. 15.Solve: t + 3 = 12. What is t?
16. 16.Arjun has m pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) m − 3 (b) m ÷ 3 (c) 3m (d) m + 3
17. 17.Solve: p − 8 = 13. What is p?
18. 18.Arjun has n laddoos. A friend has 9 times as many. Which expression shows how many laddoos the friend has? (a) n − 9 (b) 9n (c) n ÷ 9 (d) n + 9
19. 19.Find the value of 6x − 26 when x = 6.
20. 20.Solve: 3n = 15. What is n?
21. 21.Manav has n flowers. A friend has 7 fewer. Which expression shows how many flowers the friend has? (a) n ÷ 7 (b) n − 7 (c) n + 7 (d) 7n
22. 22.Solve: t − 12 = 6. What is t?
23. 23.Solve: 12y = 132. What is y?
24. 24.Manav 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
25. 25.Find the value of 4y + 14 when y = 6.
26. 26.Nisha shares n balls equally among 8 friends. Which expression shows how many balls each friend gets? (a) 8n (b) n + 8 (c) n − 8 (d) n ÷ 8
27. 27.Aditya has p shells. A friend has 5 times as many. Which expression shows how many shells the friend has? (a) 5p (b) p + 5 (c) p − 5 (d) p ÷ 5
28. 28.Find the value of 8a + 4b when a = 1 and b = 1.
29. 29.Find the value of 7a + 8b when a = 10 and b = 4.
30. 30.Rohan has n balls. A friend has 8 fewer. Which expression shows how many balls the friend has? (a) n ÷ 8 (b) n − 8 (c) 8n (d) n + 8
31. 31.Find the value of 2a + 5b when a = 5 and b = 10.
32. 32.Find the value of 8a + 6b when a = 9 and b = 6.
33. 33.Find the value of 2a + 9b when a = 9 and b = 10.
34. 34.Diya has k pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) 8k (b) k ÷ 8 (c) k + 8 (d) k − 8
35. 35.Solve: y − 6 = 6. What is y?
36. 36.Saanvi shares k flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) k + 9 (b) 9k (c) k − 9 (d) k ÷ 9
37. 37.Solve: x − 7 = 7. What is x?
38. 38.Find the value of 2a + 3b when a = 3 and b = 1.
39. 39.Find the value of 2t − 13 when t = 7.
40. 40.Find the value of 3a + 2b when a = 1 and b = 2.

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