Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 589 · 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 3m + 13 when m = 10.
2. 2.Find the value of 5a + 8b when a = 6 and b = 9.
3. 3.Find the value of 3a + 8b when a = 8 and b = 10.
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
5. 5.Find the value of 8y + 1 when y = 11.
6. 6.Meera has k crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) k + 7 (b) k − 7 (c) 7k (d) k ÷ 7
7. 7.Saanvi has p bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) p ÷ 7 (b) 7p (c) p + 7 (d) p − 7
8. 8.Solve: p ÷ 9 = 10. What is p?
9. 9.Solve: y ÷ 11 = 17. What is y?
10. 10.Find the value of 3x + 13 when x = 3.
11. 11.Lakshmi shares p pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) p + 9 (b) p − 9 (c) p ÷ 9 (d) 9p
12. 12.Solve: 11m = 209. What is m?
13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
14. 14.Find the value of 4a + 3b when a = 8 and b = 5.
15. 15.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
16. 16.Find the value of 7m + 4 when m = 8.
17. 17.Solve: x − 7 = 19. What is x?
18. 18.Find the value of 3p + 2 when p = 9.
19. 19.Solve: x − 5 = 10. What is x?
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
22. 22.Find the value of 2p − 17 when p = 9.
23. 23.Find the value of 9a + 7b when a = 5 and b = 9.
24. 24.Solve: t ÷ 2 = 15. What is t?
25. 25.Find the value of 6a + 2b when a = 2 and b = 10.
26. 26.Find the value of 3a + 5b when a = 4 and b = 2.
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
28. 28.Riya has k pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) 6k (b) k − 6 (c) k ÷ 6 (d) k + 6
29. 29.Solve: 6m = 102. What is m?
30. 30.Solve: y ÷ 9 = 6. What is y?
31. 31.Find the value of 9n − 79 when n = 10.
32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
33. 33.Find the value of 2y + 12 when y = 7.
34. 34.Kavya has m shells. A friend has 2 fewer. Which expression shows how many shells the friend has? (a) m − 2 (b) m + 2 (c) m ÷ 2 (d) 2m
35. 35.Solve: p + 3 = 20. What is p?
36. 36.Find the value of 9m − 21 when m = 9.
37. 37.Find the value of 5p − 32 when p = 10.
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?

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