Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 340 · 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 7a + 2b when a = 1 and b = 9.
2. 2.Meera has p balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) p ÷ 4 (b) 4p (c) p + 4 (d) p − 4
3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
4. 4.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
5. 5.Find the value of 4y − 6 when y = 5.
6. 6.Find the value of 3n + 10 when n = 1.
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
8. 8.Find the value of 3x + 1 when x = 7.
9. 9.Riya shares p mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
10. 10.Isha has k shells. A friend has 8 times as many. Which expression shows how many shells the friend has? (a) k + 8 (b) k ÷ 8 (c) 8k (d) k − 8
11. 11.Find the value of 3a + 4b when a = 3 and b = 9.
12. 12.Find the value of 5a + 2b when a = 7 and b = 4.
13. 13.Solve: y ÷ 10 = 5. What is y?
14. 14.Find the value of 2p + 3 when p = 5.
15. 15.Diya has n marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) n + 7 (b) n ÷ 7 (c) 7n (d) n − 7
16. 16.Find the value of 5a + 7b when a = 5 and b = 4.
17. 17.Find the value of 2m − 11 when m = 10.
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
19. 19.Solve: y + 8 = 21. What is y?
20. 20.Isha has n bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) n + 3 (b) 3n (c) n − 3 (d) n ÷ 3
21. 21.Find the value of 4a + 5b when a = 8 and b = 8.
22. 22.Find the value of 3t + 12 when t = 9.
23. 23.Find the value of 4m − 19 when m = 11.
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
26. 26.Kabir has n pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) n − 6 (b) n + 6 (c) 6n (d) n ÷ 6
27. 27.Find the value of 4a + 5b when a = 5 and b = 8.
28. 28.Solve: t ÷ 8 = 17. What is t?
29. 29.Solve: m − 12 = 9. What is m?
30. 30.Find the value of 3a + 6b when a = 7 and b = 3.
31. 31.Solve: n ÷ 3 = 11. What is n?
32. 32.Pooja shares k balloons equally among 9 friends. Which expression shows how many balloons each friend gets? (a) k ÷ 9 (b) k − 9 (c) k + 9 (d) 9k
33. 33.Find the value of 6a + 4b when a = 2 and b = 6.
34. 34.Find the value of 9t + 3 when t = 4.
35. 35.Zoya has k shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) 4k (b) k + 4 (c) k ÷ 4 (d) k − 4
36. 36.Find the value of 6p − 6 when p = 5.
37. 37.Find the value of 8x − 51 when x = 7.
38. 38.Isha has p kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) p + 6 (b) 6p (c) p ÷ 6 (d) p − 6
39. 39.Find the value of 6y + 17 when y = 6.
40. 40.Find the value of 9y − 43 when y = 7.

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