Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 610 · 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.Nisha has m marbles. A friend has 5 more. Which expression shows how many marbles the friend has? (a) m − 5 (b) m + 5 (c) 5m (d) m ÷ 5
2. 2.Solve: 5x = 80. What is x?
3. 3.Find the value of 5x + 19 when x = 3.
4. 4.Find the value of 4y − 27 when y = 9.
5. 5.Solve: p + 6 = 7. What is p?
6. 6.Find the value of 5x + 4 when x = 7.
7. 7.Zoya shares k books equally among 9 friends. Which expression shows how many books each friend gets? (a) 9k (b) k − 9 (c) k + 9 (d) k ÷ 9
8. 8.Nisha has m mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) 2m (b) m ÷ 2 (c) m − 2 (d) m + 2
9. 9.Find the value of 9n − 3 when n = 1.
10. 10.Diya has m shells. A friend has 2 fewer. Which expression shows how many shells the friend has? (a) m + 2 (b) 2m (c) m ÷ 2 (d) m − 2
11. 11.Find the value of 8a + 6b when a = 7 and b = 2.
12. 12.Find the value of 2a + 8b when a = 3 and b = 8.
13. 13.Find the value of 7p − 4 when p = 2.
14. 14.Find the value of 8a + 2b when a = 1 and b = 2.
15. 15.Solve: 9y = 72. What is y?
16. 16.Find the value of 7a + 6b when a = 2 and b = 4.
17. 17.Find the value of 6x + 14 when x = 7.
18. 18.Solve: y ÷ 7 = 7. What is y?
19. 19.Find the value of 9a + 2b when a = 3 and b = 9.
20. 20.Solve: x + 6 = 8. What is x?
21. 21.Find the value of 5a + 8b when a = 5 and b = 8.
22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
24. 24.Find the value of 2p − 15 when p = 9.
25. 25.Solve: x + 2 = 22. What is x?
26. 26.Find the value of 5y + 4 when y = 6.
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
28. 28.Find the value of 5a + 5b when a = 4 and b = 4.
29. 29.Karan has k balls. A friend has 7 times as many. Which expression shows how many balls the friend has? (a) k ÷ 7 (b) k − 7 (c) 7k (d) k + 7
30. 30.Rohan has k pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 3 (b) 3k (c) k − 3 (d) k + 3
31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
32. 32.Find the value of 6p − 27 when p = 7.
33. 33.Riya has k balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) k ÷ 5 (b) k − 5 (c) k + 5 (d) 5k
34. 34.Solve: n + 9 = 27. What is n?
35. 35.Find the value of 8a + 6b when a = 4 and b = 6.
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
37. 37.Find the value of 8n − 20 when n = 3.
38. 38.Rahul shares m kites equally among 2 friends. Which expression shows how many kites each friend gets? (a) m − 2 (b) m + 2 (c) m ÷ 2 (d) 2m
39. 39.Solve: t + 5 = 14. What is t?
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets