Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 346 · 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 V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
2. 2.Solve: p ÷ 2 = 4. What is p?
3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
5. 5.Find the value of 2a + 7b when a = 2 and b = 9.
6. 6.Find the value of 7a + 7b when a = 6 and b = 10.
7. 7.Riya has m marbles. A friend has 4 more. Which expression shows how many marbles the friend has? (a) m ÷ 4 (b) 4m (c) m + 4 (d) m − 4
8. 8.Find the value of 4x − 1 when x = 7.
9. 9.Solve: x ÷ 7 = 19. What is x?
10. 10.Find the value of 3y − 15 when y = 9.
11. 11.Find the value of 5a + 2b when a = 9 and b = 3.
12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
13. 13.Find the value of 7a + 5b when a = 2 and b = 1.
14. 14.Riya has k balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) k − 6 (b) k ÷ 6 (c) 6k (d) k + 6
15. 15.Find the value of 7n − 50 when n = 11.
16. 16.Riya has m pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) m + 6 (b) 6m (c) m − 6 (d) m ÷ 6
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
18. 18.Find the value of 5n − 1 when n = 2.
19. 19.Kabir has m balls. A friend has 8 fewer. Which expression shows how many balls the friend has? (a) m − 8 (b) m ÷ 8 (c) m + 8 (d) 8m
20. 20.Lakshmi has n pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) n + 8 (b) n ÷ 8 (c) 8n (d) n − 8
21. 21.Find the value of 3a + 6b when a = 4 and b = 8.
22. 22.Find the value of 4p − 10 when p = 7.
23. 23.Solve: t + 10 = 17. What is t?
24. 24.Find the value of 4n − 30 when n = 9.
25. 25.Nisha has n flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) 9n (b) n ÷ 9 (c) n + 9 (d) n − 9
26. 26.Solve: t + 12 = 27. What is t?
27. 27.Find the value of 4x − 46 when x = 12.
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
29. 29.Diya has n shells. A friend has 6 times as many. Which expression shows how many shells the friend has? (a) n − 6 (b) n + 6 (c) n ÷ 6 (d) 6n
30. 30.Find the value of 5a + 4b when a = 3 and b = 2.
31. 31.Kabir has k mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) k ÷ 2 (b) k − 2 (c) k + 2 (d) 2k
32. 32.Find the value of 2y − 2 when y = 3.
33. 33.Isha shares p bananas equally among 6 friends. Which expression shows how many bananas each friend gets? (a) p ÷ 6 (b) 6p (c) p − 6 (d) p + 6
34. 34.Solve: x + 5 = 9. What is x?
35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
38. 38.Find the value of 2p + 7 when p = 6.
39. 39.Solve: y + 9 = 14. What is y?
40. 40.Find the value of 7a + 3b when a = 1 and b = 2.

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