Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 179 · 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: 2m = 6. What is m?
2. 2.Lakshmi has k pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 7 (b) k + 7 (c) k − 7 (d) 7k
3. 3.Find the value of 5y − 37 when y = 9.
4. 4.Solve: n ÷ 9 = 3. What is n?
5. 5.Find the value of 4a + 3b when a = 8 and b = 1.
6. 6.Solve: p + 8 = 17. What is p?
7. 7.Find the value of 8a + 9b when a = 1 and b = 10.
8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
10. 10.Find the value of 9a + 5b when a = 10 and b = 2.
11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
13. 13.Solve: m − 6 = 2. What is m?
14. 14.Solve: m + 9 = 17. What is m?
15. 15.Isha has k shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) k − 8 (b) k ÷ 8 (c) 8k (d) k + 8
16. 16.Solve: t + 9 = 25. What is t?
17. 17.Ishaan has m shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) m ÷ 6 (b) 6m (c) m − 6 (d) m + 6
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
19. 19.Solve: n + 6 = 21. What is n?
20. 20.Find the value of 8a + 3b when a = 10 and b = 3.
21. 21.Kabir has m flowers. A friend has 6 times as many. Which expression shows how many flowers the friend has? (a) m − 6 (b) m + 6 (c) 6m (d) m ÷ 6
22. 22.Solve: 8n = 104. What is n?
23. 23.Find the value of 4t + 1 when t = 11.
24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
25. 25.Solve: y + 3 = 8. What is y?
26. 26.Solve: p + 4 = 5. What is p?
27. 27.Find the value of 7m + 17 when m = 4.
28. 28.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
29. 29.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
30. 30.Tara has m laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) m − 4 (b) m ÷ 4 (c) m + 4 (d) 4m
31. 31.Saanvi has m laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) m − 3 (b) m + 3 (c) m ÷ 3 (d) 3m
32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
35. 35.Solve: n ÷ 5 = 1. What is n?
36. 36.Isha has k balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) k − 2 (b) k + 2 (c) 2k (d) k ÷ 2
37. 37.Solve: y − 4 = 9. What is y?
38. 38.Solve: 12t = 48. What is t?
39. 39.Solve: x + 5 = 22. What is x?
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?

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