Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 387 · 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 8m + 9 when m = 4.
2. 2.Find the value of 8p − 11 when p = 2.
3. 3.Manav has p flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) p ÷ 8 (b) p − 8 (c) 8p (d) p + 8
4. 4.Find the value of 8a + 6b when a = 4 and b = 2.
5. 5.Find the value of 8a + 9b when a = 2 and b = 6.
6. 6.Find the value of 8a + 2b when a = 10 and b = 6.
7. 7.Kavya shares k mangoes equally among 4 friends. Which expression shows how many mangoes each friend gets? (a) k ÷ 4 (b) k + 4 (c) k − 4 (d) 4k
8. 8.Arjun has p balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) p + 3 (b) p − 3 (c) p ÷ 3 (d) 3p
9. 9.Solve: m ÷ 8 = 11. What is m?
10. 10.Find the value of 8y − 11 when y = 2.
11. 11.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
12. 12.Diya has m shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) m ÷ 5 (b) m − 5 (c) 5m (d) m + 5
13. 13.Find the value of 4m − 1 when m = 2.
14. 14.Find the value of 7a + 4b when a = 3 and b = 2.
15. 15.Find the value of 7a + 6b when a = 6 and b = 9.
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
18. 18.Manav has k balloons. A friend has 9 fewer. Which expression shows how many balloons the friend has? (a) k + 9 (b) k − 9 (c) k ÷ 9 (d) 9k
19. 19.Riya has p shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) 8p (b) p − 8 (c) p ÷ 8 (d) p + 8
20. 20.Solve: n − 9 = 15. What is n?
21. 21.Find the value of 3t + 16 when t = 4.
22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
23. 23.Find the value of 7a + 8b when a = 7 and b = 4.
24. 24.Find the value of 8x + 9 when x = 11.
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
26. 26.Find the value of 4p − 10 when p = 3.
27. 27.Find the value of 9n − 78 when n = 10.
28. 28.Find the value of 4a + 4b when a = 10 and b = 8.
29. 29.Solve: y ÷ 9 = 5. What is y?
30. 30.Find the value of 8x + 7 when x = 4.
31. 31.Find the value of 9y − 5 when y = 5.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
33. 33.Find the value of 4a + 3b when a = 6 and b = 7.
34. 34.Farhan has k marbles. A friend has 5 fewer. Which expression shows how many marbles the friend has? (a) k ÷ 5 (b) 5k (c) k − 5 (d) k + 5
35. 35.Solve: t + 5 = 6. What is t?
36. 36.Find the value of 8a + 2b when a = 3 and b = 2.
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
38. 38.Solve: 10n = 150. What is n?
39. 39.Find the value of 7x + 14 when x = 4.
40. 40.Find the value of 6a + 2b when a = 7 and b = 3.

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