Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 47 · 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.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
2. 2.Diya has m pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) m + 4 (b) 4m (c) m − 4 (d) m ÷ 4
3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
4. 4.Find the value of 5x + 9 when x = 6.
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
6. 6.Find the value of 2y − 2 when y = 11.
7. 7.Karan has n pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
8. 8.Find the value of 6x − 44 when x = 11.
9. 9.Solve: x ÷ 11 = 2. What is x?
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
11. 11.Solve: 7n = 140. What is n?
12. 12.Solve: n + 8 = 9. What is n?
13. 13.Aarav shares m balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) m − 5 (b) m + 5 (c) 5m (d) m ÷ 5
14. 14.Find the value of 7m − 1 when m = 2.
15. 15.Solve: m ÷ 8 = 4. What is m?
16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
18. 18.Kavya shares k bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) k ÷ 2 (b) 2k (c) k + 2 (d) k − 2
19. 19.Solve: t − 6 = 15. What is t?
20. 20.Find the value of 9a + 7b when a = 6 and b = 5.
21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
22. 22.Find the value of 2t + 20 when t = 2.
23. 23.Find the value of 3x + 9 when x = 9.
24. 24.Saanvi has m books. A friend has 4 more. Which expression shows how many books the friend has? (a) m + 4 (b) 4m (c) m ÷ 4 (d) m − 4
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
26. 26.Riya has m balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) m − 2 (b) 2m (c) m ÷ 2 (d) m + 2
27. 27.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
28. 28.Solve: x − 7 = 9. What is x?
29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
30. 30.Dev has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) m ÷ 2 (b) 2m (c) m − 2 (d) m + 2
31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
32. 32.Find the value of 4p + 5 when p = 3.
33. 33.Solve: p ÷ 4 = 14. What is p?
34. 34.Find the value of 7m − 53 when m = 11.
35. 35.Solve: p − 7 = 11. What is p?
36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
37. 37.Dev has k laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) k + 2 (b) k − 2 (c) k ÷ 2 (d) 2k
38. 38.Find the value of 4a + 8b when a = 2 and b = 1.
39. 39.Find the value of 3a + 3b when a = 2 and b = 1.
40. 40.Find the value of 2p + 1 when p = 10.

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