Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 592 · 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 19 letters?
2. 2.Find the value of 6m − 21 when m = 5.
3. 3.Priya shares k bananas equally among 3 friends. Which expression shows how many bananas each friend gets? (a) k − 3 (b) k + 3 (c) k ÷ 3 (d) 3k
4. 4.Solve: t − 2 = 13. What is t?
5. 5.Solve: t ÷ 11 = 9. What is t?
6. 6.Solve: y ÷ 3 = 6. What is y?
7. 7.Solve: x − 4 = 12. What is x?
8. 8.Find the value of 7a + 5b when a = 7 and b = 4.
9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
10. 10.Ananya has m mangoes. A friend has 2 times as many. Which expression shows how many mangoes the friend has? (a) m − 2 (b) m ÷ 2 (c) m + 2 (d) 2m
11. 11.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
12. 12.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
13. 13.Saanvi shares k crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) k + 2 (b) k ÷ 2 (c) 2k (d) k − 2
14. 14.Find the value of 3x + 3 when x = 8.
15. 15.Zoya shares p bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) p ÷ 2 (b) p + 2 (c) p − 2 (d) 2p
16. 16.Find the value of 3a + 2b when a = 4 and b = 7.
17. 17.Find the value of 6y − 18 when y = 6.
18. 18.Nisha has k balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) k + 3 (b) 3k (c) k ÷ 3 (d) k − 3
19. 19.Solve: y − 2 = 15. What is y?
20. 20.Find the value of 2p + 6 when p = 5.
21. 21.Find the value of 3m + 17 when m = 5.
22. 22.Find the value of 9a + 3b when a = 2 and b = 9.
23. 23.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
24. 24.Find the value of 3t + 3 when t = 6.
25. 25.Find the value of 8x − 33 when x = 9.
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
27. 27.Find the value of 9a + 9b when a = 3 and b = 1.
28. 28.Find the value of 6a + 5b when a = 7 and b = 9.
29. 29.Solve: t − 8 = 13. What is t?
30. 30.Find the value of 6x + 13 when x = 3.
31. 31.Gurpreet has m shells. A friend has 9 more. Which expression shows how many shells the friend has? (a) m − 9 (b) m ÷ 9 (c) m + 9 (d) 9m
32. 32.Solve: m ÷ 6 = 20. What is m?
33. 33.Solve: p − 2 = 17. What is p?
34. 34.Find the value of 6y + 14 when y = 12.
35. 35.Solve: x ÷ 9 = 5. What is x?
36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
37. 37.Solve: 8m = 8. What is m?
38. 38.Find the value of 6a + 9b when a = 2 and b = 6.
39. 39.Find the value of 4y − 11 when y = 4.
40. 40.Find the value of 6a + 4b when a = 7 and b = 2.

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