Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 291 · 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.Aarav has m books. A friend has 7 fewer. Which expression shows how many books the friend has? (a) m ÷ 7 (b) 7m (c) m − 7 (d) m + 7
2. 2.Find the value of 8n + 20 when n = 6.
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
4. 4.Solve: 3y = 15. What is y?
5. 5.Aditya shares k pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) k + 7 (b) k − 7 (c) k ÷ 7 (d) 7k
6. 6.Find the value of 6m + 20 when m = 12.
7. 7.Solve: 8n = 72. What is n?
8. 8.Vivaan has k books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) k − 8 (b) 8k (c) k ÷ 8 (d) k + 8
9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
10. 10.Diya has p marbles. A friend has 6 more. Which expression shows how many marbles the friend has? (a) p ÷ 6 (b) p + 6 (c) p − 6 (d) 6p
11. 11.Find the value of 7y − 12 when y = 7.
12. 12.Find the value of 6a + 2b when a = 3 and b = 3.
13. 13.Saanvi shares m marbles equally among 4 friends. Which expression shows how many marbles each friend gets? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
14. 14.Find the value of 5m − 19 when m = 5.
15. 15.Solve: p − 11 = 18. What is p?
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
17. 17.Find the value of 7t + 13 when t = 3.
18. 18.Solve: t + 2 = 22. What is t?
19. 19.Find the value of 7t − 6 when t = 5.
20. 20.Find the value of 5m − 29 when m = 7.
21. 21.Find the value of 8t + 17 when t = 1.
22. 22.Find the value of 6a + 5b when a = 10 and b = 5.
23. 23.Diya shares m laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) m − 2 (b) m ÷ 2 (c) 2m (d) m + 2
24. 24.Solve: m ÷ 3 = 20. What is m?
25. 25.Find the value of 2t + 11 when t = 1.
26. 26.Find the value of 4p − 13 when p = 4.
27. 27.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
28. 28.Find the value of 6p + 15 when p = 8.
29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
32. 32.Solve: m ÷ 6 = 12. What is m?
33. 33.Find the value of 5p + 5 when p = 11.
34. 34.Find the value of 3a + 5b when a = 5 and b = 5.
35. 35.Find the value of 3t + 6 when t = 1.
36. 36.Isha has m crayons. A friend has 9 times as many. Which expression shows how many crayons the friend has? (a) m ÷ 9 (b) m + 9 (c) m − 9 (d) 9m
37. 37.Find the value of 9y + 4 when y = 1.
38. 38.Solve: 2y = 6. What is y?
39. 39.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
40. 40.Find the value of 4a + 2b when a = 5 and b = 3.

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