Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 119 · 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 8a + 9b when a = 6 and b = 3.
2. 2.Solve: t ÷ 10 = 19. What is t?
3. 3.Find the value of 3p + 18 when p = 10.
4. 4.Find the value of 8x + 8 when x = 3.
5. 5.Find the value of 8t − 4 when t = 1.
6. 6.Find the value of 8y − 58 when y = 8.
7. 7.Find the value of 8a + 7b when a = 5 and b = 2.
8. 8.Find the value of 7p + 8 when p = 4.
9. 9.Find the value of 2a + 2b when a = 9 and b = 7.
10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
11. 11.Solve: t + 11 = 24. What is t?
12. 12.Tara has n marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) n ÷ 2 (b) n − 2 (c) 2n (d) n + 2
13. 13.Find the value of 7a + 4b when a = 3 and b = 4.
14. 14.Sneha has k shells. A friend has 9 times as many. Which expression shows how many shells the friend has? (a) k ÷ 9 (b) 9k (c) k + 9 (d) k − 9
15. 15.Find the value of 4n + 11 when n = 12.
16. 16.Find the value of 4a + 3b when a = 4 and b = 1.
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
18. 18.Find the value of 7a + 3b when a = 5 and b = 10.
19. 19.Find the value of 5a + 9b when a = 9 and b = 6.
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
23. 23.Find the value of 9n − 26 when n = 8.
24. 24.Solve: p ÷ 11 = 5. What is p?
25. 25.Isha has m bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) m + 2 (b) m ÷ 2 (c) 2m (d) m − 2
26. 26.Find the value of 2a + 7b when a = 8 and b = 1.
27. 27.Solve: t + 6 = 8. What is t?
28. 28.Isha has n flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) n + 8 (b) 8n (c) n − 8 (d) n ÷ 8
29. 29.Solve: x + 2 = 17. What is x?
30. 30.Find the value of 7a + 7b when a = 2 and b = 1.
31. 31.Lakshmi has m bananas. A friend has 6 times as many. Which expression shows how many bananas the friend has? (a) m ÷ 6 (b) m − 6 (c) 6m (d) m + 6
32. 32.Zoya has m books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) 3m (b) m + 3 (c) m − 3 (d) m ÷ 3
33. 33.Find the value of 5a + 7b when a = 1 and b = 10.
34. 34.Pooja has p books. A friend has 6 more. Which expression shows how many books the friend has? (a) 6p (b) p ÷ 6 (c) p − 6 (d) p + 6
35. 35.Find the value of 2a + 2b when a = 6 and b = 8.
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
37. 37.Find the value of 6t − 1 when t = 2.
38. 38.Solve: 5m = 95. What is m?
39. 39.Gurpreet has k books. A friend has 4 fewer. Which expression shows how many books the friend has? (a) 4k (b) k ÷ 4 (c) k + 4 (d) k − 4
40. 40.Find the value of 9n + 4 when n = 2.

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