Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 396 · 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 6y + 2 when y = 4.
2. 2.Solve: m ÷ 4 = 17. What is m?
3. 3.Karan has m bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) m + 9 (b) m ÷ 9 (c) m − 9 (d) 9m
4. 4.Find the value of 9t + 13 when t = 2.
5. 5.Manav has m pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) m − 6 (b) 6m (c) m ÷ 6 (d) m + 6
6. 6.Find the value of 4a + 4b when a = 10 and b = 1.
7. 7.Find the value of 2y + 5 when y = 11.
8. 8.Isha has p balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) p + 7 (b) 7p (c) p ÷ 7 (d) p − 7
9. 9.Solve: y − 2 = 20. What is y?
10. 10.Find the value of 7x + 5 when x = 12.
11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
13. 13.Find the value of 3x + 2 when x = 10.
14. 14.Solve: 9x = 27. What is x?
15. 15.Find the value of 2x − 4 when x = 5.
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
18. 18.Nisha has n mangoes. A friend has 2 times as many. Which expression shows how many mangoes the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
19. 19.Arjun has p balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) p − 8 (b) p + 8 (c) p ÷ 8 (d) 8p
20. 20.Find the value of 3t + 5 when t = 2.
21. 21.Lakshmi has p kites. A friend has 8 times as many. Which expression shows how many kites the friend has? (a) p − 8 (b) p + 8 (c) p ÷ 8 (d) 8p
22. 22.Solve: x − 9 = 10. What is x?
23. 23.Find the value of 2t + 11 when t = 12.
24. 24.Solve: p − 3 = 2. What is p?
25. 25.Find the value of 9n − 6 when n = 4.
26. 26.Find the value of 6a + 8b when a = 6 and b = 5.
27. 27.Find the value of 5n + 18 when n = 10.
28. 28.Find the value of 4y − 23 when y = 7.
29. 29.Solve: y + 7 = 10. What is y?
30. 30.Solve: x − 2 = 8. What is x?
31. 31.Solve: n + 6 = 12. What is n?
32. 32.Kabir has m mangoes. A friend has 5 fewer. Which expression shows how many mangoes the friend has? (a) 5m (b) m + 5 (c) m − 5 (d) m ÷ 5
33. 33.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
34. 34.Find the value of 3a + 5b when a = 10 and b = 1.
35. 35.Find the value of 9x + 20 when x = 9.
36. 36.Solve: y + 6 = 12. What is y?
37. 37.Find the value of 8x − 82 when x = 11.
38. 38.Rahul has k flowers. A friend has 9 fewer. Which expression shows how many flowers the friend has? (a) k ÷ 9 (b) k − 9 (c) 9k (d) k + 9
39. 39.Find the value of 6a + 7b when a = 7 and b = 9.
40. 40.Find the value of 5n + 15 when n = 2.

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