Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 225 · 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 8x − 2 when x = 8.
2. 2.Gurpreet has m pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) m ÷ 4 (b) m − 4 (c) m + 4 (d) 4m
3. 3.Find the value of 8n + 5 when n = 4.
4. 4.Find the value of 3a + 5b when a = 10 and b = 4.
5. 5.Find the value of 3p − 1 when p = 1.
6. 6.Solve: 3p = 12. What is p?
7. 7.Aarav has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) p + 3 (b) p ÷ 3 (c) 3p (d) p − 3
8. 8.Manav has n mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) n − 4 (b) 4n (c) n + 4 (d) n ÷ 4
9. 9.Find the value of 7y + 19 when y = 9.
10. 10.Find the value of 9a + 5b when a = 1 and b = 2.
11. 11.Find the value of 3p + 15 when p = 6.
12. 12.Find the value of 8y + 7 when y = 12.
13. 13.Aditya has p shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) p ÷ 3 (b) 3p (c) p + 3 (d) p − 3
14. 14.Find the value of 7p + 18 when p = 12.
15. 15.Solve: p − 10 = 18. What is p?
16. 16.Solve: p ÷ 4 = 20. What is p?
17. 17.Find the value of 5y + 15 when y = 1.
18. 18.Find the value of 8n + 10 when n = 2.
19. 19.Zoya has n flowers. A friend has 3 times as many. Which expression shows how many flowers the friend has? (a) 3n (b) n − 3 (c) n + 3 (d) n ÷ 3
20. 20.Solve: p − 11 = 16. What is p?
21. 21.Solve: p ÷ 5 = 1. What is p?
22. 22.Find the value of 2a + 6b when a = 8 and b = 8.
23. 23.Riya shares k laddoos equally among 9 friends. Which expression shows how many laddoos each friend gets? (a) k ÷ 9 (b) k − 9 (c) 9k (d) k + 9
24. 24.Solve: y − 9 = 20. What is y?
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
26. 26.Ishaan has n marbles. A friend has 5 times as many. Which expression shows how many marbles the friend has? (a) 5n (b) n ÷ 5 (c) n − 5 (d) n + 5
27. 27.Solve: y − 2 = 10. What is y?
28. 28.Find the value of 8a + 8b when a = 1 and b = 1.
29. 29.Solve: m ÷ 5 = 14. What is m?
30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
31. 31.Diya has m laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) m + 8 (b) 8m (c) m − 8 (d) m ÷ 8
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
33. 33.Find the value of 7a + 6b when a = 5 and b = 7.
34. 34.Solve: x ÷ 8 = 9. What is x?
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
36. 36.Find the value of 8a + 8b when a = 1 and b = 4.
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
38. 38.Manav has m flowers. A friend has 8 fewer. Which expression shows how many flowers the friend has? (a) m − 8 (b) 8m (c) m + 8 (d) m ÷ 8
39. 39.Find the value of 5x − 7 when x = 3.
40. 40.Solve: t + 6 = 9. What is t?

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