Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 355 · 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 4x − 18 when x = 11.
2. 2.Find the value of 6x + 14 when x = 2.
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
4. 4.Solve: x + 12 = 32. What is x?
5. 5.Find the value of 2a + 2b when a = 2 and b = 9.
6. 6.Kavya has m laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) m − 7 (b) 7m (c) m + 7 (d) m ÷ 7
7. 7.Solve: t ÷ 2 = 20. What is t?
8. 8.Solve: n ÷ 5 = 16. What is n?
9. 9.Find the value of 6a + 4b when a = 9 and b = 5.
10. 10.Find the value of 4x + 11 when x = 6.
11. 11.Find the value of 8a + 6b when a = 4 and b = 2.
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
14. 14.Find the value of 8a + 3b when a = 6 and b = 1.
15. 15.Find the value of 8a + 2b when a = 1 and b = 2.
16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
17. 17.Vivaan has p crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) p + 6 (b) p − 6 (c) 6p (d) p ÷ 6
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
19. 19.Kabir has p shells. A friend has 8 fewer. Which expression shows how many shells the friend has? (a) p − 8 (b) p ÷ 8 (c) p + 8 (d) 8p
20. 20.Find the value of 9a + 7b when a = 8 and b = 9.
21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
22. 22.Find the value of 9x + 8 when x = 3.
23. 23.Find the value of 2p + 17 when p = 9.
24. 24.Solve: y ÷ 11 = 13. What is y?
25. 25.Find the value of 3x + 4 when x = 2.
26. 26.Find the value of 4a + 6b when a = 6 and b = 9.
27. 27.Find the value of 8a + 2b when a = 7 and b = 4.
28. 28.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
29. 29.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
30. 30.Solve: x + 3 = 23. What is x?
31. 31.Solve: 7y = 28. What is y?
32. 32.Find the value of 3a + 3b when a = 6 and b = 2.
33. 33.Solve: p + 12 = 30. What is p?
34. 34.Tara has k kites. A friend has 6 times as many. Which expression shows how many kites the friend has? (a) k + 6 (b) 6k (c) k − 6 (d) k ÷ 6
35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
36. 36.Solve: m + 11 = 12. What is m?
37. 37.Kabir shares m crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) m − 2 (b) m ÷ 2 (c) m + 2 (d) 2m
38. 38.Solve: 2m = 36. What is m?
39. 39.Find the value of 5x − 1 when x = 1.
40. 40.Find the value of 7t + 9 when t = 2.

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