Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 565 · 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: m ÷ 11 = 12. What is m?
2. 2.Aditya 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
3. 3.Manav has m flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) m ÷ 3 (b) m − 3 (c) m + 3 (d) 3m
4. 4.Find the value of 5a + 3b when a = 2 and b = 9.
5. 5.Solve: n ÷ 7 = 14. What is n?
6. 6.Zoya has n pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) n − 7 (b) 7n (c) n ÷ 7 (d) n + 7
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
8. 8.Find the value of 4x − 17 when x = 7.
9. 9.Find the value of 4n + 16 when n = 4.
10. 10.Find the value of 7x + 4 when x = 5.
11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
12. 12.Karan has m flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) m − 4 (b) 4m (c) m ÷ 4 (d) m + 4
13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
14. 14.Find the value of 8x − 30 when x = 5.
15. 15.Find the value of 5x + 4 when x = 4.
16. 16.Find the value of 7x − 17 when x = 11.
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
18. 18.Find the value of 6m + 15 when m = 2.
19. 19.Find the value of 5m + 14 when m = 9.
20. 20.Find the value of 4n − 2 when n = 12.
21. 21.Find the value of 7p − 6 when p = 1.
22. 22.Find the value of 7a + 2b when a = 9 and b = 6.
23. 23.Find the value of 6t − 37 when t = 10.
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
25. 25.Find the value of 3a + 9b when a = 2 and b = 3.
26. 26.Find the value of 9a + 2b when a = 7 and b = 6.
27. 27.Find the value of 8n − 16 when n = 8.
28. 28.Find the value of 9a + 2b when a = 2 and b = 6.
29. 29.Find the value of 2t − 8 when t = 12.
30. 30.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
31. 31.Rohan has n flowers. A friend has 3 fewer. Which expression shows how many flowers the friend has? (a) 3n (b) n ÷ 3 (c) n − 3 (d) n + 3
32. 32.Find the value of 2a + 9b when a = 2 and b = 3.
33. 33.Solve: 3y = 45. What is y?
34. 34.Isha has k balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) k − 6 (b) k + 6 (c) k ÷ 6 (d) 6k
35. 35.Find the value of 4m + 11 when m = 5.
36. 36.Diya has p mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) p − 5 (b) 5p (c) p + 5 (d) p ÷ 5
37. 37.Solve: n − 9 = 8. What is n?
38. 38.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
39. 39.Saanvi has n marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) n − 8 (b) n + 8 (c) 8n (d) n ÷ 8
40. 40.Find the value of 4p + 13 when p = 10.

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