Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 371 · 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 7a + 2b when a = 4 and b = 7.
2. 2.Find the value of 4x + 15 when x = 7.
3. 3.Find the value of 3t − 21 when t = 11.
4. 4.Find the value of 9a + 3b when a = 1 and b = 4.
5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
8. 8.Solve: m − 2 = 18. What is m?
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
11. 11.Find the value of 4n + 12 when n = 9.
12. 12.Find the value of 2a + 9b when a = 9 and b = 4.
13. 13.Find the value of 2m + 16 when m = 10.
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
15. 15.Vivaan has p laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) p − 6 (b) p + 6 (c) p ÷ 6 (d) 6p
16. 16.Solve: n ÷ 12 = 14. What is n?
17. 17.Find the value of 4a + 9b when a = 8 and b = 8.
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
20. 20.Kavya has m crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) m − 2 (b) m ÷ 2 (c) m + 2 (d) 2m
21. 21.Find the value of 7x − 28 when x = 6.
22. 22.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
23. 23.Solve: y ÷ 11 = 17. What is y?
24. 24.Find the value of 7n − 5 when n = 7.
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
26. 26.Tara has n balls. A friend has 9 fewer. Which expression shows how many balls the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
27. 27.Find the value of 3a + 8b when a = 3 and b = 6.
28. 28.Find the value of 2a + 6b when a = 3 and b = 6.
29. 29.Solve: t ÷ 3 = 18. What is t?
30. 30.Find the value of 6a + 5b when a = 1 and b = 3.
31. 31.Find the value of 6p − 9 when p = 5.
32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
33. 33.Find the value of 2p + 8 when p = 4.
34. 34.Find the value of 9m − 78 when m = 12.
35. 35.Solve: y ÷ 8 = 8. What is y?
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
37. 37.Find the value of 3p + 6 when p = 12.
38. 38.Solve: 9x = 90. What is x?
39. 39.Find the value of 5p − 5 when p = 2.
40. 40.Solve: m + 3 = 12. What is m?

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