Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 386 · 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 5p + 9 when p = 10.
2. 2.Kabir shares p shells equally among 9 friends. Which expression shows how many shells each friend gets? (a) p − 9 (b) p + 9 (c) p ÷ 9 (d) 9p
3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
5. 5.Find the value of 2p − 7 when p = 10.
6. 6.Zoya has k shells. A friend has 6 fewer. Which expression shows how many shells the friend has? (a) k ÷ 6 (b) k + 6 (c) k − 6 (d) 6k
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
8. 8.Joseph has n mangoes. A friend has 6 times as many. Which expression shows how many mangoes the friend has? (a) n − 6 (b) 6n (c) n ÷ 6 (d) n + 6
9. 9.Find the value of 8a + 2b when a = 6 and b = 5.
10. 10.Find the value of 3x + 14 when x = 12.
11. 11.Find the value of 7a + 6b when a = 8 and b = 2.
12. 12.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
13. 13.Find the value of 9a + 3b when a = 7 and b = 5.
14. 14.Find the value of 2m − 5 when m = 3.
15. 15.Find the value of 9y + 11 when y = 7.
16. 16.Find the value of 9n + 6 when n = 4.
17. 17.Gurpreet has k balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) k + 3 (b) 3k (c) k − 3 (d) k ÷ 3
18. 18.Find the value of 3p + 2 when p = 1.
19. 19.Find the value of 2a + 6b when a = 3 and b = 8.
20. 20.Find the value of 9x + 13 when x = 9.
21. 21.Find the value of 2a + 2b when a = 3 and b = 10.
22. 22.Find the value of 5a + 4b when a = 4 and b = 2.
23. 23.Find the value of 9a + 6b when a = 1 and b = 10.
24. 24.Solve: n + 2 = 4. What is n?
25. 25.Find the value of 6m + 13 when m = 6.
26. 26.Solve: m + 9 = 15. What is m?
27. 27.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
28. 28.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
29. 29.Aarav has p flowers. A friend has 7 times as many. Which expression shows how many flowers the friend has? (a) p ÷ 7 (b) p − 7 (c) p + 7 (d) 7p
30. 30.Find the value of 8a + 4b when a = 10 and b = 8.
31. 31.Find the value of 4a + 3b when a = 2 and b = 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 2m − 3 when m = 5.
34. 34.Find the value of 5y + 5 when y = 3.
35. 35.Find the value of 5y + 1 when y = 12.
36. 36.Solve: n + 6 = 15. What is n?
37. 37.Find the value of 2p + 11 when p = 7.
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
39. 39.Manav has k balloons. A friend has 9 fewer. Which expression shows how many balloons the friend has? (a) k + 9 (b) k ÷ 9 (c) k − 9 (d) 9k
40. 40.Find the value of 2p + 9 when p = 8.

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