Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 126 · 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.Zoya has m marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) m − 8 (b) m + 8 (c) m ÷ 8 (d) 8m
2. 2.Find the value of 2a + 2b when a = 2 and b = 9.
3. 3.Ananya has n laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) n ÷ 4 (b) n − 4 (c) n + 4 (d) 4n
4. 4.Find the value of 7a + 3b when a = 8 and b = 5.
5. 5.Find the value of 7a + 3b when a = 4 and b = 9.
6. 6.Solve: 3p = 15. What is p?
7. 7.Find the value of 5a + 4b when a = 3 and b = 8.
8. 8.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
9. 9.Solve: p − 10 = 18. What is p?
10. 10.Find the value of 4a + 5b when a = 3 and b = 5.
11. 11.Find the value of 6m − 5 when m = 2.
12. 12.Find the value of 3y + 20 when y = 5.
13. 13.Find the value of 6a + 2b when a = 10 and b = 9.
14. 14.Lakshmi shares n books equally among 2 friends. Which expression shows how many books each friend gets? (a) n + 2 (b) n ÷ 2 (c) 2n (d) n − 2
15. 15.Solve: y ÷ 4 = 16. What is y?
16. 16.Nisha has m pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) 2m (b) m − 2 (c) m ÷ 2 (d) m + 2
17. 17.Find the value of 6x − 10 when x = 2.
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
19. 19.Find the value of 3a + 3b when a = 3 and b = 7.
20. 20.Find the value of 2a + 4b when a = 5 and b = 6.
21. 21.Find the value of 2a + 2b when a = 5 and b = 1.
22. 22.Aarav has m shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
23. 23.Find the value of 7a + 2b when a = 2 and b = 10.
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
25. 25.Find the value of 7a + 9b when a = 4 and b = 1.
26. 26.Find the value of 4a + 2b when a = 2 and b = 10.
27. 27.Find the value of 2a + 2b when a = 9 and b = 3.
28. 28.Solve: x + 7 = 11. What is x?
29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
31. 31.Solve: p ÷ 4 = 19. What is p?
32. 32.Solve: 3y = 3. What is y?
33. 33.Find the value of 4p + 4 when p = 8.
34. 34.Pooja has m balloons. A friend has 8 fewer. Which expression shows how many balloons the friend has? (a) m ÷ 8 (b) 8m (c) m − 8 (d) m + 8
35. 35.Find the value of 8a + 9b when a = 6 and b = 10.
36. 36.Sneha 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
37. 37.Find the value of 8p + 16 when p = 1.
38. 38.Find the value of 3m − 12 when m = 5.
39. 39.Find the value of 3x − 3 when x = 5.
40. 40.Find the value of 6a + 8b when a = 3 and b = 10.

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