Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 452 · 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.Solve: 3t = 51. What is t?
2. 2.Solve: n + 7 = 8. What is n?
3. 3.Solve: 12p = 36. What is p?
4. 4.Dev has m shells. A friend has 8 fewer. Which expression shows how many shells the friend has? (a) m + 8 (b) m ÷ 8 (c) m − 8 (d) 8m
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
6. 6.Find the value of 8p + 16 when p = 1.
7. 7.Find the value of 6a + 4b when a = 9 and b = 10.
8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
9. 9.Find the value of 8y + 20 when y = 6.
10. 10.Solve: 12n = 192. What is n?
11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
12. 12.Aarav has p balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) p + 9 (b) 9p (c) p − 9 (d) p ÷ 9
13. 13.Find the value of 7y + 10 when y = 12.
14. 14.Find the value of 4n + 18 when n = 1.
15. 15.Find the value of 4p − 1 when p = 1.
16. 16.Find the value of 3n − 1 when n = 1.
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
18. 18.Solve: y + 4 = 19. What is y?
19. 19.Find the value of 2n − 2 when n = 3.
20. 20.Solve: m + 10 = 13. What is m?
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
23. 23.Nisha has p books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) 2p (b) p − 2 (c) p + 2 (d) p ÷ 2
24. 24.Solve: x ÷ 6 = 13. What is x?
25. 25.Isha shares k shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) k − 6 (b) 6k (c) k + 6 (d) k ÷ 6
26. 26.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
27. 27.Find the value of 9a + 9b when a = 3 and b = 3.
28. 28.Find the value of 4p + 18 when p = 10.
29. 29.Solve: p − 3 = 3. What is p?
30. 30.Solve: x + 3 = 14. What is x?
31. 31.Solve: t + 5 = 10. What is t?
32. 32.Solve: x − 4 = 6. What is x?
33. 33.Farhan has m balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) m − 4 (b) m ÷ 4 (c) 4m (d) m + 4
34. 34.Pooja has m flowers. A friend has 7 times as many. Which expression shows how many flowers the friend has? (a) m + 7 (b) 7m (c) m − 7 (d) m ÷ 7
35. 35.Sneha has k flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
36. 36.Find the value of 2m − 19 when m = 10.
37. 37.Riya shares n flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) n ÷ 7 (b) 7n (c) n − 7 (d) n + 7
38. 38.Solve: 3t = 9. What is t?
39. 39.Solve: t + 12 = 27. What is t?
40. 40.Kabir has m shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) 9m (b) m + 9 (c) m − 9 (d) m ÷ 9

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