Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 275 · 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 9a + 2b when a = 9 and b = 8.
2. 2.Find the value of 8a + 9b when a = 3 and b = 5.
3. 3.Pooja has m mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) m + 8 (b) 8m (c) m ÷ 8 (d) m − 8
4. 4.Solve: y ÷ 6 = 3. What is y?
5. 5.Solve: p ÷ 4 = 11. What is p?
6. 6.Find the value of 2y + 15 when y = 3.
7. 7.Find the value of 9m − 26 when m = 5.
8. 8.Pooja has p shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) p − 8 (b) 8p (c) p + 8 (d) p ÷ 8
9. 9.Manav has m bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) m + 9 (b) m − 9 (c) 9m (d) m ÷ 9
10. 10.Solve: p + 3 = 9. What is p?
11. 11.Find the value of 9n + 17 when n = 7.
12. 12.Find the value of 3t + 18 when t = 1.
13. 13.Find the value of 2a + 3b when a = 2 and b = 10.
14. 14.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
15. 15.Solve: x − 9 = 17. What is x?
16. 16.Solve: t ÷ 3 = 13. What is t?
17. 17.Find the value of 3t − 1 when t = 1.
18. 18.Solve: y ÷ 2 = 17. What is y?
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
20. 20.Karan has p crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) p + 2 (b) p ÷ 2 (c) 2p (d) p − 2
21. 21.Find the value of 4m + 9 when m = 3.
22. 22.Find the value of 6a + 2b when a = 3 and b = 3.
23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
24. 24.Solve: y + 5 = 10. What is y?
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
26. 26.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
27. 27.Solve: 9p = 45. What is p?
28. 28.Find the value of 7a + 6b when a = 4 and b = 3.
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
31. 31.Find the value of 8a + 3b when a = 10 and b = 9.
32. 32.Riya has m shells. A friend has 8 fewer. Which expression shows how many shells the friend has? (a) m ÷ 8 (b) m − 8 (c) 8m (d) m + 8
33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
34. 34.Vivaan has n flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) n − 9 (b) 9n (c) n ÷ 9 (d) n + 9
35. 35.Find the value of 7t − 26 when t = 4.
36. 36.Solve: 3n = 6. What is n?
37. 37.Find the value of 5x − 8 when x = 9.
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
39. 39.Arjun has n kites. A friend has 4 more. Which expression shows how many kites the friend has? (a) n + 4 (b) 4n (c) n ÷ 4 (d) n − 4
40. 40.Find the value of 3a + 3b when a = 3 and b = 7.

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