Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 471 · 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.Ishaan shares k shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) k ÷ 5 (b) 5k (c) k + 5 (d) k − 5
2. 2.Solve: y − 4 = 8. What is y?
3. 3.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
4. 4.Find the value of 7t + 5 when t = 9.
5. 5.Diya has k books. A friend has 8 more. Which expression shows how many books the friend has? (a) k − 8 (b) k + 8 (c) 8k (d) k ÷ 8
6. 6.Solve: p − 5 = 6. What is p?
7. 7.Solve: n ÷ 8 = 4. What is n?
8. 8.Solve: 7p = 14. What is p?
9. 9.Find the value of 6a + 2b when a = 5 and b = 2.
10. 10.Rohan shares m pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) 4m (b) m + 4 (c) m − 4 (d) m ÷ 4
11. 11.Find the value of 4m − 28 when m = 12.
12. 12.Find the value of 6a + 2b when a = 7 and b = 4.
13. 13.Pooja shares p pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) p + 8 (b) 8p (c) p ÷ 8 (d) p − 8
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
16. 16.Find the value of 5y − 14 when y = 4.
17. 17.Solve: p − 5 = 16. What is p?
18. 18.Find the value of 4a + 2b when a = 1 and b = 4.
19. 19.Kavya has p mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) p − 3 (b) p ÷ 3 (c) p + 3 (d) 3p
20. 20.Manav shares m balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) m + 7 (b) m − 7 (c) 7m (d) m ÷ 7
21. 21.Solve: t ÷ 3 = 16. What is t?
22. 22.Find the value of 2a + 3b when a = 10 and b = 4.
23. 23.Solve: t + 3 = 13. What is t?
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
25. 25.Find the value of 2a + 3b when a = 4 and b = 1.
26. 26.Solve: x ÷ 11 = 2. What is x?
27. 27.Find the value of 3a + 2b when a = 8 and b = 10.
28. 28.Find the value of 5a + 9b when a = 10 and b = 5.
29. 29.Find the value of 7a + 8b when a = 1 and b = 6.
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
31. 31.Zoya has n flowers. A friend has 6 fewer. Which expression shows how many flowers the friend has? (a) n ÷ 6 (b) n + 6 (c) 6n (d) n − 6
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
33. 33.Find the value of 6a + 7b when a = 6 and b = 5.
34. 34.Find the value of 8a + 9b when a = 8 and b = 1.
35. 35.Find the value of 6x + 16 when x = 3.
36. 36.Find the value of 9p + 2 when p = 10.
37. 37.Find the value of 6a + 3b when a = 7 and b = 10.
38. 38.Ishaan has n balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) n ÷ 3 (b) 3n (c) n + 3 (d) n − 3
39. 39.Find the value of 8y − 10 when y = 9.
40. 40.Solve: 10t = 160. What is t?

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