Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 94 · 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 4n + 14 when n = 9.
2. 2.Find the value of 7a + 4b when a = 2 and b = 2.
3. 3.Solve: p + 5 = 24. What is p?
4. 4.Karan has k marbles. A friend has 8 times as many. Which expression shows how many marbles the friend has? (a) k + 8 (b) k − 8 (c) k ÷ 8 (d) 8k
5. 5.Find the value of 2x + 8 when x = 8.
6. 6.Farhan has k books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) 2k (b) k ÷ 2 (c) k + 2 (d) k − 2
7. 7.Farhan shares n mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) 2n (b) n − 2 (c) n + 2 (d) n ÷ 2
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
9. 9.Find the value of 2a + 9b when a = 6 and b = 4.
10. 10.Find the value of 7t − 2 when t = 3.
11. 11.Kavya has p balls. A friend has 6 times as many. Which expression shows how many balls the friend has? (a) p ÷ 6 (b) 6p (c) p + 6 (d) p − 6
12. 12.Find the value of 6a + 5b when a = 7 and b = 3.
13. 13.Find the value of 5a + 9b when a = 1 and b = 5.
14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
15. 15.Tara has m bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) m ÷ 7 (b) 7m (c) m + 7 (d) m − 7
16. 16.Solve: 12t = 216. What is t?
17. 17.Solve: x − 6 = 3. What is x?
18. 18.Solve: n + 6 = 24. What is n?
19. 19.Find the value of 8a + 5b when a = 6 and b = 1.
20. 20.Find the value of 8a + 9b when a = 3 and b = 4.
21. 21.Solve: x − 10 = 10. What is x?
22. 22.Solve: p − 8 = 13. What is p?
23. 23.Manav has m balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) m + 3 (b) m ÷ 3 (c) m − 3 (d) 3m
24. 24.Solve: m ÷ 6 = 16. What is m?
25. 25.Solve: n − 6 = 4. What is n?
26. 26.Farhan has p laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) p − 4 (b) p ÷ 4 (c) p + 4 (d) 4p
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
28. 28.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
29. 29.Find the value of 6y + 5 when y = 7.
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
31. 31.Solve: 4x = 36. What is x?
32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
33. 33.Find the value of 2t + 17 when t = 1.
34. 34.Find the value of 9x + 20 when x = 9.
35. 35.Find the value of 8a + 7b when a = 5 and b = 10.
36. 36.Saanvi has n mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) n − 2 (b) n ÷ 2 (c) 2n (d) n + 2
37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
39. 39.Find the value of 9a + 9b when a = 1 and b = 5.
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?

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