Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 127 · 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 4a + 7b when a = 10 and b = 1.
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
4. 4.Find the value of 3y + 6 when y = 2.
5. 5.Solve: m ÷ 11 = 14. What is m?
6. 6.Find the value of 3a + 3b when a = 9 and b = 1.
7. 7.Aditya shares n laddoos equally among 9 friends. Which expression shows how many laddoos each friend gets? (a) n + 9 (b) n − 9 (c) 9n (d) n ÷ 9
8. 8.Find the value of 6t + 6 when t = 12.
9. 9.Find the value of 7x − 20 when x = 4.
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
12. 12.Sneha has p balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) p − 2 (b) 2p (c) p + 2 (d) p ÷ 2
13. 13.Isha shares m bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) m ÷ 4 (b) m − 4 (c) m + 4 (d) 4m
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
15. 15.Find the value of 4t + 13 when t = 3.
16. 16.Find the value of 4a + 3b when a = 3 and b = 2.
17. 17.Zoya has m mangoes. A friend has 9 times as many. Which expression shows how many mangoes the friend has? (a) m − 9 (b) m + 9 (c) 9m (d) m ÷ 9
18. 18.Find the value of 5x + 20 when x = 12.
19. 19.Solve: n − 6 = 5. What is n?
20. 20.Find the value of 8a + 3b when a = 8 and b = 5.
21. 21.Find the value of 8t + 15 when t = 1.
22. 22.Priya has p flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) p ÷ 4 (b) p + 4 (c) 4p (d) p − 4
23. 23.Solve: 11n = 176. What is n?
24. 24.Find the value of 2y − 9 when y = 7.
25. 25.Find the value of 2a + 2b when a = 5 and b = 2.
26. 26.Vivaan has k pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 5 (b) 5k (c) k + 5 (d) k − 5
27. 27.Find the value of 4t − 40 when t = 12.
28. 28.Find the value of 6x + 4 when x = 1.
29. 29.Isha has k balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) k + 7 (b) k − 7 (c) k ÷ 7 (d) 7k
30. 30.Solve: y ÷ 10 = 18. What is y?
31. 31.Find the value of 5x − 13 when x = 10.
32. 32.Find the value of 3a + 4b when a = 4 and b = 9.
33. 33.Solve: p − 9 = 12. What is p?
34. 34.Solve: y + 9 = 11. What is y?
35. 35.Aditya shares k crayons equally among 8 friends. Which expression shows how many crayons each friend gets? (a) k − 8 (b) k ÷ 8 (c) k + 8 (d) 8k
36. 36.Rohan shares n balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) n ÷ 2 (b) 2n (c) n + 2 (d) n − 2
37. 37.Find the value of 3a + 4b when a = 4 and b = 7.
38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
40. 40.Find the value of 7x − 23 when x = 6.

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