Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 378 · 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 5y − 4 when y = 2.
2. 2.Solve: t + 2 = 8. What is t?
3. 3.Find the value of 6p + 11 when p = 7.
4. 4.Find the value of 4m + 4 when m = 2.
5. 5.Solve: 10y = 70. What is y?
6. 6.Find the value of 2y + 9 when y = 2.
7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
8. 8.Find the value of 7a + 2b when a = 2 and b = 7.
9. 9.Joseph has p shells. A friend has 8 fewer. Which expression shows how many shells the friend has? (a) p ÷ 8 (b) p − 8 (c) p + 8 (d) 8p
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
11. 11.Find the value of 7a + 9b when a = 5 and b = 2.
12. 12.Find the value of 9a + 8b when a = 6 and b = 10.
13. 13.Solve: p ÷ 2 = 8. What is p?
14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
15. 15.Find the value of 2a + 3b when a = 2 and b = 8.
16. 16.Rohan has n crayons. A friend has 8 fewer. Which expression shows how many crayons the friend has? (a) 8n (b) n ÷ 8 (c) n − 8 (d) n + 8
17. 17.Lakshmi has k marbles. A friend has 6 more. Which expression shows how many marbles the friend has? (a) k + 6 (b) k ÷ 6 (c) k − 6 (d) 6k
18. 18.Isha has m mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) m − 7 (b) m + 7 (c) 7m (d) m ÷ 7
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
20. 20.Pooja has m balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) m ÷ 7 (b) 7m (c) m − 7 (d) m + 7
21. 21.Nisha has k bananas. A friend has 6 more. Which expression shows how many bananas the friend has? (a) k + 6 (b) k ÷ 6 (c) 6k (d) k − 6
22. 22.Find the value of 2x + 19 when x = 5.
23. 23.Zoya shares k flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) 4k (b) k − 4 (c) k + 4 (d) k ÷ 4
24. 24.Aarav has p books. A friend has 6 fewer. Which expression shows how many books the friend has? (a) p − 6 (b) 6p (c) p + 6 (d) p ÷ 6
25. 25.Solve: p + 11 = 24. What is p?
26. 26.Find the value of 6a + 3b when a = 10 and b = 10.
27. 27.Solve: t − 9 = 17. What is t?
28. 28.Find the value of 4y − 22 when y = 7.
29. 29.Riya shares k kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) k − 3 (b) k ÷ 3 (c) 3k (d) k + 3
30. 30.Find the value of 3a + 5b when a = 9 and b = 2.
31. 31.Meera has p balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) 9p (b) p + 9 (c) p − 9 (d) p ÷ 9
32. 32.Solve: n ÷ 12 = 15. What is n?
33. 33.Find the value of 2x + 13 when x = 3.
34. 34.Find the value of 5n − 7 when n = 4.
35. 35.Find the value of 3t − 5 when t = 12.
36. 36.Find the value of 7m + 15 when m = 10.
37. 37.Meera has n mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
38. 38.Solve: p + 9 = 29. What is p?
39. 39.Find the value of 2y + 16 when y = 12.
40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?

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