Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 192 · 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.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
2. 2.Find the value of 3t + 18 when t = 3.
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
4. 4.Kabir has m marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) m − 2 (b) m ÷ 2 (c) 2m (d) m + 2
5. 5.Find the value of 7y − 25 when y = 6.
6. 6.Find the value of 7n − 28 when n = 7.
7. 7.Solve: 11t = 110. What is t?
8. 8.Find the value of 3x + 19 when x = 5.
9. 9.Solve: x + 4 = 14. What is x?
10. 10.Find the value of 9a + 2b when a = 8 and b = 4.
11. 11.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
12. 12.Find the value of 7y + 13 when y = 8.
13. 13.Pooja shares m kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) m − 3 (b) m + 3 (c) 3m (d) m ÷ 3
14. 14.Find the value of 9a + 6b when a = 5 and b = 1.
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
16. 16.Find the value of 6a + 2b when a = 8 and b = 10.
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
18. 18.Solve: 2x = 36. What is x?
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
22. 22.Solve: n + 4 = 18. What is n?
23. 23.Find the value of 4a + 8b when a = 3 and b = 5.
24. 24.Find the value of 7t − 10 when t = 2.
25. 25.Find the value of 2n − 11 when n = 6.
26. 26.Find the value of 9t + 9 when t = 6.
27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
28. 28.Solve: m ÷ 4 = 1. What is m?
29. 29.Kabir has n crayons. A friend has 5 fewer. Which expression shows how many crayons the friend has? (a) n ÷ 5 (b) 5n (c) n + 5 (d) n − 5
30. 30.Solve: 9m = 9. What is m?
31. 31.Solve: x − 3 = 8. What is x?
32. 32.Solve: n + 8 = 27. What is n?
33. 33.Find the value of 9y + 3 when y = 11.
34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
36. 36.Find the value of 4a + 4b when a = 6 and b = 10.
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
38. 38.Find the value of 8x + 11 when x = 3.
39. 39.Riya has n kites. A friend has 9 times as many. Which expression shows how many kites the friend has? (a) n + 9 (b) n ÷ 9 (c) n − 9 (d) 9n
40. 40.Meera shares m balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) m ÷ 5 (b) m − 5 (c) m + 5 (d) 5m

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