Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 598 · 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 5a + 2b when a = 2 and b = 3.
2. 2.Find the value of 6a + 7b when a = 1 and b = 7.
3. 3.Arjun has m crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) m + 8 (b) 8m (c) m − 8 (d) m ÷ 8
4. 4.Find the value of 4n + 11 when n = 8.
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
6. 6.Find the value of 4p + 20 when p = 11.
7. 7.Rohan has n mangoes. A friend has 6 times as many. Which expression shows how many mangoes the friend has? (a) n − 6 (b) n ÷ 6 (c) 6n (d) n + 6
8. 8.Find the value of 8a + 3b when a = 9 and b = 2.
9. 9.Find the value of 4t + 14 when t = 6.
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
11. 11.Find the value of 3a + 6b when a = 9 and b = 7.
12. 12.Find the value of 5t − 13 when t = 5.
13. 13.Solve: p − 11 = 8. What is p?
14. 14.Find the value of 6a + 6b when a = 4 and b = 7.
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
16. 16.Ananya has n bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) n − 4 (b) n + 4 (c) n ÷ 4 (d) 4n
17. 17.Find the value of 9p − 5 when p = 5.
18. 18.Solve: n ÷ 10 = 16. What is n?
19. 19.Solve: m ÷ 6 = 7. What is m?
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
22. 22.Solve: n + 5 = 13. What is n?
23. 23.Solve: x ÷ 9 = 5. What is x?
24. 24.Solve: y + 2 = 22. What is y?
25. 25.Find the value of 4p − 7 when p = 3.
26. 26.Pooja has p shells. A friend has 2 fewer. Which expression shows how many shells the friend has? (a) 2p (b) p + 2 (c) p ÷ 2 (d) p − 2
27. 27.Find the value of 2a + 7b when a = 4 and b = 3.
28. 28.Solve: 12p = 204. What is p?
29. 29.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
30. 30.Kabir has k pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 5 (b) k − 5 (c) k + 5 (d) 5k
31. 31.Find the value of 6x + 3 when x = 9.
32. 32.Find the value of 7t − 40 when t = 7.
33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
35. 35.Isha has k balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) k + 3 (b) k − 3 (c) 3k (d) k ÷ 3
36. 36.Solve: t + 3 = 20. What is t?
37. 37.Aditya has n books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) n + 8 (b) n ÷ 8 (c) n − 8 (d) 8n
38. 38.Find the value of 9a + 6b when a = 7 and b = 5.
39. 39.Meera has p bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) p ÷ 9 (b) p − 9 (c) p + 9 (d) 9p
40. 40.Solve: 5t = 30. What is t?

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