Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 417 · 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 4y − 18 when y = 6.
2. 2.Solve: x − 9 = 8. What is x?
3. 3.Find the value of 6a + 5b when a = 7 and b = 8.
4. 4.Solve: n + 6 = 9. What is n?
5. 5.Solve: y − 8 = 3. What is y?
6. 6.Isha has m balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) m + 3 (b) 3m (c) m − 3 (d) m ÷ 3
7. 7.Karan has n balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
8. 8.Find the value of 9a + 7b when a = 9 and b = 5.
9. 9.Solve: 6y = 12. What is y?
10. 10.Solve: m − 2 = 2. What is m?
11. 11.Find the value of 4x + 7 when x = 6.
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
13. 13.Find the value of 2a + 6b when a = 5 and b = 6.
14. 14.Dev has k pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) k − 9 (b) k ÷ 9 (c) 9k (d) k + 9
15. 15.Find the value of 5p + 16 when p = 5.
16. 16.Find the value of 9x + 8 when x = 1.
17. 17.Kavya has m kites. A friend has 8 more. Which expression shows how many kites the friend has? (a) m + 8 (b) 8m (c) m ÷ 8 (d) m − 8
18. 18.Find the value of 5a + 8b when a = 3 and b = 2.
19. 19.Find the value of 5a + 5b when a = 10 and b = 3.
20. 20.Ishaan has p flowers. A friend has 5 times as many. Which expression shows how many flowers the friend has? (a) p + 5 (b) p ÷ 5 (c) p − 5 (d) 5p
21. 21.Lakshmi has k mangoes. A friend has 8 fewer. Which expression shows how many mangoes the friend has? (a) k + 8 (b) k ÷ 8 (c) k − 8 (d) 8k
22. 22.Find the value of 3a + 9b when a = 9 and b = 6.
23. 23.Solve: p + 3 = 7. What is p?
24. 24.Diya has n pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) n − 9 (b) n + 9 (c) 9n (d) n ÷ 9
25. 25.Ishaan has p flowers. A friend has 6 more. Which expression shows how many flowers the friend has? (a) 6p (b) p + 6 (c) p ÷ 6 (d) p − 6
26. 26.Rohan has n shells. A friend has 8 fewer. Which expression shows how many shells the friend has? (a) 8n (b) n − 8 (c) n ÷ 8 (d) n + 8
27. 27.Find the value of 4p − 24 when p = 11.
28. 28.Find the value of 5x − 19 when x = 9.
29. 29.Find the value of 5a + 9b when a = 4 and b = 7.
30. 30.Find the value of 3y − 21 when y = 8.
31. 31.Solve: y − 3 = 13. What is y?
32. 32.Find the value of 6a + 6b when a = 7 and b = 4.
33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
34. 34.Find the value of 3t − 2 when t = 4.
35. 35.Rahul has k balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) k − 5 (b) k ÷ 5 (c) k + 5 (d) 5k
36. 36.Solve: n + 10 = 26. What is n?
37. 37.Find the value of 2a + 2b when a = 6 and b = 2.
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?

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