Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 604 · 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.Ishaan shares k books equally among 2 friends. Which expression shows how many books each friend gets? (a) k + 2 (b) 2k (c) k − 2 (d) k ÷ 2
2. 2.Find the value of 7a + 9b when a = 3 and b = 3.
3. 3.Solve: p ÷ 9 = 4. What is p?
4. 4.Find the value of 3a + 2b when a = 1 and b = 5.
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
7. 7.Riya has k balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) k ÷ 5 (b) k − 5 (c) 5k (d) k + 5
8. 8.Diya has n balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) n − 9 (b) 9n (c) n + 9 (d) n ÷ 9
9. 9.Find the value of 2a + 2b when a = 3 and b = 6.
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
12. 12.Solve: p ÷ 3 = 6. What is p?
13. 13.Aarav has k books. A friend has 3 more. Which expression shows how many books the friend has? (a) k ÷ 3 (b) k + 3 (c) 3k (d) k − 3
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
15. 15.Find the value of 4t − 46 when t = 12.
16. 16.Dev has n balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) 7n (b) n ÷ 7 (c) n + 7 (d) n − 7
17. 17.Solve: t + 6 = 20. What is t?
18. 18.Find the value of 9p − 6 when p = 1.
19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
20. 20.Find the value of 6a + 6b when a = 4 and b = 3.
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
22. 22.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
24. 24.Find the value of 3a + 5b when a = 5 and b = 9.
25. 25.Karan has n pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) 4n (b) n + 4 (c) n − 4 (d) n ÷ 4
26. 26.Gurpreet has n mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) n − 5 (b) n ÷ 5 (c) 5n (d) n + 5
27. 27.Find the value of 5a + 4b when a = 2 and b = 10.
28. 28.Find the value of 7a + 2b when a = 1 and b = 7.
29. 29.Solve: t + 12 = 31. What is t?
30. 30.Diya has p balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) p + 5 (b) p ÷ 5 (c) 5p (d) p − 5
31. 31.Find the value of 2y + 7 when y = 12.
32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
33. 33.Solve: x − 2 = 2. What is x?
34. 34.Find the value of 2m + 20 when m = 6.
35. 35.Find the value of 2a + 3b when a = 2 and b = 9.
36. 36.Solve: y − 3 = 6. What is y?
37. 37.Solve: 11m = 99. What is m?
38. 38.Meera has p books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) 3p (b) p + 3 (c) p ÷ 3 (d) p − 3
39. 39.Find the value of 6m + 3 when m = 4.
40. 40.Find the value of 2p + 5 when p = 3.

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