Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 44 · 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.Find the value of 2y − 2 when y = 10.
2. 2.Find the value of 5x + 3 when x = 1.
3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
4. 4.Find the value of 7a + 5b when a = 3 and b = 7.
5. 5.Isha shares k flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) k − 7 (b) k + 7 (c) k ÷ 7 (d) 7k
6. 6.Solve: 4m = 8. What is m?
7. 7.Solve: x + 5 = 16. What is x?
8. 8.Find the value of 3m − 1 when m = 5.
9. 9.Find the value of 2a + 3b when a = 3 and b = 3.
10. 10.Solve: y + 10 = 26. What is y?
11. 11.Solve: m − 3 = 2. What is m?
12. 12.Find the value of 2x + 18 when x = 2.
13. 13.Solve: t ÷ 10 = 12. What is t?
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
17. 17.Solve: 6n = 18. What is n?
18. 18.Solve: n ÷ 6 = 4. What is n?
19. 19.Find the value of 2a + 8b when a = 9 and b = 10.
20. 20.Lakshmi shares k marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) k + 7 (b) 7k (c) k − 7 (d) k ÷ 7
21. 21.Find the value of 4m + 1 when m = 6.
22. 22.Farhan shares n mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) 5n (b) n ÷ 5 (c) n − 5 (d) n + 5
23. 23.Priya has m flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) m + 9 (b) m ÷ 9 (c) m − 9 (d) 9m
24. 24.Solve: n + 10 = 18. What is n?
25. 25.Diya has p marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) p + 2 (b) p − 2 (c) 2p (d) p ÷ 2
26. 26.Solve: 4y = 48. What is y?
27. 27.Find the value of 7m + 13 when m = 12.
28. 28.Saanvi has p balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) p ÷ 9 (b) p − 9 (c) 9p (d) p + 9
29. 29.Solve: t + 9 = 24. What is t?
30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
31. 31.Find the value of 7a + 2b when a = 2 and b = 10.
32. 32.Solve: p + 2 = 20. What is p?
33. 33.Find the value of 2n + 8 when n = 2.
34. 34.Ishaan has k shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) 4k (b) k − 4 (c) k + 4 (d) k ÷ 4
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
36. 36.Solve: 5p = 65. What is p?
37. 37.Find the value of 8n + 19 when n = 4.
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?

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