Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 220 · 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 7m + 10 when m = 3.
2. 2.Find the value of 9x + 18 when x = 6.
3. 3.Saanvi has n pencils. A friend has 8 fewer. Which expression shows how many pencils the friend has? (a) n − 8 (b) n + 8 (c) 8n (d) n ÷ 8
4. 4.Solve: 6t = 48. What is t?
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
7. 7.Find the value of 6a + 7b when a = 9 and b = 2.
8. 8.Find the value of 7x + 17 when x = 8.
9. 9.Find the value of 2m + 12 when m = 10.
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
12. 12.Solve: y − 9 = 13. What is y?
13. 13.Find the value of 7n − 7 when n = 6.
14. 14.Find the value of 4a + 5b when a = 1 and b = 4.
15. 15.Solve: p − 2 = 12. What is p?
16. 16.Find the value of 7t − 4 when t = 1.
17. 17.Find the value of 4x + 5 when x = 8.
18. 18.Find the value of 7a + 7b when a = 4 and b = 4.
19. 19.Aarav shares n shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n
20. 20.Solve: p + 2 = 21. What is p?
21. 21.Vivaan shares n laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) n ÷ 2 (b) n − 2 (c) 2n (d) n + 2
22. 22.Aarav has n bananas. A friend has 2 times as many. Which expression shows how many bananas the friend has? (a) n ÷ 2 (b) n − 2 (c) n + 2 (d) 2n
23. 23.Solve: y ÷ 7 = 5. What is y?
24. 24.Find the value of 6n + 6 when n = 8.
25. 25.Find the value of 9a + 4b when a = 1 and b = 9.
26. 26.Aditya has p books. A friend has 6 more. Which expression shows how many books the friend has? (a) p ÷ 6 (b) p + 6 (c) 6p (d) p − 6
27. 27.Find the value of 2a + 5b when a = 2 and b = 1.
28. 28.Kabir has k books. A friend has 6 fewer. Which expression shows how many books the friend has? (a) k − 6 (b) k ÷ 6 (c) k + 6 (d) 6k
29. 29.Solve: 2x = 24. What is x?
30. 30.Find the value of 2m − 10 when m = 8.
31. 31.Find the value of 4p + 19 when p = 5.
32. 32.Find the value of 9x + 7 when x = 7.
33. 33.Find the value of 7a + 3b when a = 2 and b = 9.
34. 34.Tara shares n bananas equally among 3 friends. Which expression shows how many bananas each friend gets? (a) n − 3 (b) n + 3 (c) n ÷ 3 (d) 3n
35. 35.Sneha has p balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) p + 6 (b) p − 6 (c) 6p (d) p ÷ 6
36. 36.Solve: y − 8 = 1. What is y?
37. 37.Find the value of 9m + 4 when m = 7.
38. 38.Arjun has m crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) m + 2 (b) m − 2 (c) m ÷ 2 (d) 2m
39. 39.Kavya has m pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) m + 7 (b) 7m (c) m ÷ 7 (d) m − 7
40. 40.Find the value of 8a + 7b when a = 7 and b = 7.

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