Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 463 · 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 3a + 2b when a = 5 and b = 10.
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
3. 3.Solve: x − 6 = 16. What is x?
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
5. 5.Manav has k kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) k + 3 (b) k ÷ 3 (c) k − 3 (d) 3k
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
7. 7.Find the value of 3y + 12 when y = 5.
8. 8.Find the value of 6a + 7b when a = 2 and b = 1.
9. 9.Find the value of 4t + 2 when t = 11.
10. 10.Find the value of 3x + 19 when x = 5.
11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
12. 12.Sneha has p pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) p − 7 (b) p ÷ 7 (c) 7p (d) p + 7
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
14. 14.Find the value of 7t + 20 when t = 12.
15. 15.Solve: n − 5 = 10. What is n?
16. 16.Farhan has k balloons. A friend has 9 times as many. Which expression shows how many balloons the friend has? (a) k ÷ 9 (b) k − 9 (c) k + 9 (d) 9k
17. 17.Solve: x ÷ 5 = 8. What is x?
18. 18.Rahul shares p shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) p + 2 (b) p − 2 (c) 2p (d) p ÷ 2
19. 19.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
21. 21.Solve: 11p = 11. What is p?
22. 22.Find the value of 5y − 1 when y = 3.
23. 23.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
24. 24.Solve: 3t = 18. What is t?
25. 25.Karan has n balls. A friend has 5 times as many. Which expression shows how many balls the friend has? (a) n + 5 (b) n ÷ 5 (c) 5n (d) n − 5
26. 26.Solve: p ÷ 5 = 6. What is p?
27. 27.Arjun has p pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) 3p (b) p − 3 (c) p + 3 (d) p ÷ 3
28. 28.Find the value of 2p − 6 when p = 7.
29. 29.Solve: y + 7 = 27. What is y?
30. 30.Find the value of 5a + 8b when a = 8 and b = 6.
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
32. 32.Lakshmi has p kites. A friend has 7 more. Which expression shows how many kites the friend has? (a) p ÷ 7 (b) 7p (c) p − 7 (d) p + 7
33. 33.Rohan has k shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) 7k (b) k ÷ 7 (c) k + 7 (d) k − 7
34. 34.Find the value of 7t − 11 when t = 5.
35. 35.Solve: 11m = 88. What is m?
36. 36.Find the value of 7a + 7b when a = 2 and b = 3.
37. 37.Find the value of 2t + 5 when t = 11.
38. 38.Find the value of 7a + 8b when a = 4 and b = 3.
39. 39.Solve: p ÷ 12 = 3. What is p?
40. 40.Find the value of 2y + 11 when y = 7.

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