Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 408 · 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 has p balls. A friend has 6 times as many. Which expression shows how many balls the friend has? (a) 6p (b) p + 6 (c) p ÷ 6 (d) p − 6
2. 2.Kabir has p balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) 7p (b) p + 7 (c) p ÷ 7 (d) p − 7
3. 3.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
4. 4.Vivaan has p books. A friend has 8 more. Which expression shows how many books the friend has? (a) p + 8 (b) p ÷ 8 (c) p − 8 (d) 8p
5. 5.Solve: p + 6 = 21. What is p?
6. 6.Find the value of 5a + 4b when a = 10 and b = 6.
7. 7.Find the value of 7n − 33 when n = 9.
8. 8.Find the value of 9a + 3b when a = 1 and b = 5.
9. 9.Find the value of 8n + 11 when n = 1.
10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
13. 13.Solve: p − 9 = 4. What is p?
14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
16. 16.Vivaan shares n pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) n + 6 (b) 6n (c) n − 6 (d) n ÷ 6
17. 17.Find the value of 8y + 18 when y = 5.
18. 18.Solve: m + 3 = 22. What is m?
19. 19.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
20. 20.Find the value of 2a + 6b when a = 1 and b = 1.
21. 21.Ishaan has n shells. A friend has 2 more. Which expression shows how many shells the friend has? (a) 2n (b) n ÷ 2 (c) n + 2 (d) n − 2
22. 22.Find the value of 9a + 8b when a = 10 and b = 1.
23. 23.Aarav has n mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
24. 24.Find the value of 9a + 2b when a = 1 and b = 5.
25. 25.Find the value of 3a + 2b when a = 9 and b = 8.
26. 26.Find the value of 7n + 8 when n = 7.
27. 27.Find the value of 3a + 8b when a = 5 and b = 1.
28. 28.Solve: x − 5 = 4. What is x?
29. 29.Solve: x + 3 = 23. What is x?
30. 30.Find the value of 6y + 15 when y = 5.
31. 31.Kavya has p pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) p ÷ 9 (b) p − 9 (c) 9p (d) p + 9
32. 32.Find the value of 8y − 47 when y = 7.
33. 33.Solve: t − 12 = 5. What is t?
34. 34.Solve: p + 10 = 11. What is p?
35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
36. 36.Find the value of 6a + 5b when a = 4 and b = 10.
37. 37.Find the value of 9x − 70 when x = 9.
38. 38.Find the value of 2n − 1 when n = 4.
39. 39.Sneha has p bananas. A friend has 5 fewer. Which expression shows how many bananas the friend has? (a) 5p (b) p ÷ 5 (c) p − 5 (d) p + 5
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?

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