Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 375 · 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 4t + 14 when t = 8.
2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
3. 3.Find the value of 4t + 14 when t = 9.
4. 4.Find the value of 5m − 15 when m = 4.
5. 5.Isha has k books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) k ÷ 5 (b) k + 5 (c) k − 5 (d) 5k
6. 6.Find the value of 3a + 3b when a = 6 and b = 10.
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
8. 8.Find the value of 3n − 6 when n = 4.
9. 9.Solve: x ÷ 11 = 18. What is x?
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
11. 11.Aarav has p books. A friend has 4 times as many. Which expression shows how many books the friend has? (a) p + 4 (b) p ÷ 4 (c) p − 4 (d) 4p
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
13. 13.Find the value of 6a + 2b when a = 9 and b = 4.
14. 14.Solve: x ÷ 9 = 6. What is x?
15. 15.Find the value of 5a + 7b when a = 2 and b = 8.
16. 16.Find the value of 3m − 30 when m = 11.
17. 17.Find the value of 7a + 9b when a = 3 and b = 6.
18. 18.Find the value of 4a + 5b when a = 3 and b = 2.
19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
21. 21.Aditya has n balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) n − 4 (b) 4n (c) n ÷ 4 (d) n + 4
22. 22.Find the value of 8y − 9 when y = 2.
23. 23.Find the value of 4a + 9b when a = 1 and b = 1.
24. 24.Find the value of 2x + 20 when x = 11.
25. 25.Find the value of 8a + 8b when a = 4 and b = 1.
26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
27. 27.Find the value of 3a + 4b when a = 5 and b = 6.
28. 28.Solve: t + 11 = 30. What is t?
29. 29.Find the value of 9x + 8 when x = 2.
30. 30.Find the value of 7a + 9b when a = 1 and b = 2.
31. 31.Find the value of 8a + 9b when a = 1 and b = 2.
32. 32.Find the value of 6a + 2b when a = 1 and b = 3.
33. 33.Find the value of 4a + 9b when a = 6 and b = 10.
34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
36. 36.Aarav has p balls. A friend has 8 times as many. Which expression shows how many balls the friend has? (a) p ÷ 8 (b) p + 8 (c) p − 8 (d) 8p
37. 37.Isha has m mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) m − 5 (b) m ÷ 5 (c) 5m (d) m + 5
38. 38.Find the value of 7x − 24 when x = 6.
39. 39.Find the value of 9a + 5b when a = 5 and b = 9.
40. 40.Find the value of 6a + 5b when a = 5 and b = 3.

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