Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 171 · 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 9n − 7 when n = 5.
2. 2.Solve: y ÷ 12 = 4. What is y?
3. 3.Find the value of 2a + 8b when a = 8 and b = 2.
4. 4.Find the value of 4a + 5b when a = 6 and b = 7.
5. 5.Solve: x + 2 = 9. What is x?
6. 6.Find the value of 5m − 3 when m = 1.
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
8. 8.Dev shares p flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) p + 8 (b) p ÷ 8 (c) p − 8 (d) 8p
9. 9.Find the value of 3a + 6b when a = 6 and b = 4.
10. 10.Solve: x − 11 = 4. What is x?
11. 11.Nisha has n marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) n + 9 (b) 9n (c) n − 9 (d) n ÷ 9
12. 12.Solve: x ÷ 2 = 12. What is x?
13. 13.Find the value of 5y + 18 when y = 6.
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
16. 16.Solve: p ÷ 8 = 4. What is p?
17. 17.Find the value of 7a + 4b when a = 9 and b = 7.
18. 18.Solve: p + 5 = 22. What is p?
19. 19.Solve: n − 7 = 7. What is n?
20. 20.Find the value of 3a + 5b when a = 3 and b = 2.
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
22. 22.Solve: p + 2 = 15. What is p?
23. 23.Zoya has k kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) k ÷ 3 (b) 3k (c) k − 3 (d) k + 3
24. 24.Dev has m mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) m ÷ 7 (b) m + 7 (c) m − 7 (d) 7m
25. 25.Solve: n − 5 = 2. What is n?
26. 26.Find the value of 3a + 7b when a = 1 and b = 4.
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
28. 28.Solve: t ÷ 6 = 15. What is t?
29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
30. 30.Find the value of 4y − 17 when y = 5.
31. 31.Kabir has m shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
32. 32.Find the value of 9a + 5b when a = 2 and b = 9.
33. 33.Solve: y + 2 = 9. What is y?
34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
35. 35.Find the value of 7a + 9b when a = 8 and b = 7.
36. 36.Find the value of 7a + 8b when a = 6 and b = 5.
37. 37.Find the value of 9a + 2b when a = 1 and b = 4.
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
39. 39.Solve: x − 5 = 6. What is x?
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?

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