Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 500 · 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.Solve: n + 6 = 22. What is n?
2. 2.Meera has k mangoes. A friend has 9 times as many. Which expression shows how many mangoes the friend has? (a) k ÷ 9 (b) 9k (c) k − 9 (d) k + 9
3. 3.Find the value of 8m − 1 when m = 4.
4. 4.Solve: 9n = 99. What is n?
5. 5.Solve: x − 7 = 1. What is x?
6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
7. 7.Solve: p − 6 = 6. What is p?
8. 8.Solve: t + 3 = 19. What is t?
9. 9.Find the value of 9a + 3b when a = 5 and b = 10.
10. 10.Find the value of 6a + 3b when a = 1 and b = 5.
11. 11.Solve: t ÷ 5 = 5. What is t?
12. 12.Manav has k balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
13. 13.Find the value of 3y − 9 when y = 5.
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
15. 15.Find the value of 9a + 4b when a = 2 and b = 9.
16. 16.Find the value of 2m − 7 when m = 7.
17. 17.Solve: 10y = 190. What is y?
18. 18.Find the value of 2x + 9 when x = 1.
19. 19.Find the value of 6a + 4b when a = 6 and b = 2.
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
21. 21.Find the value of 5t − 44 when t = 9.
22. 22.Find the value of 7a + 5b when a = 9 and b = 10.
23. 23.Solve: y ÷ 4 = 17. What is y?
24. 24.Find the value of 2n + 14 when n = 10.
25. 25.Solve: 4y = 32. What is y?
26. 26.Saanvi has k balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) 3k (b) k + 3 (c) k ÷ 3 (d) k − 3
27. 27.Zoya has p balls. A friend has 5 times as many. Which expression shows how many balls the friend has? (a) p ÷ 5 (b) p + 5 (c) p − 5 (d) 5p
28. 28.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
29. 29.Find the value of 6a + 7b when a = 5 and b = 7.
30. 30.Kavya shares m crayons equally among 6 friends. Which expression shows how many crayons each friend gets? (a) m + 6 (b) m − 6 (c) 6m (d) m ÷ 6
31. 31.Find the value of 2a + 4b when a = 3 and b = 10.
32. 32.Find the value of 5t + 2 when t = 10.
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
34. 34.Find the value of 7y + 4 when y = 3.
35. 35.Solve: 6x = 30. What is x?
36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
38. 38.Find the value of 7a + 3b when a = 1 and b = 4.
39. 39.Riya shares n bananas equally among 7 friends. Which expression shows how many bananas each friend gets? (a) 7n (b) n − 7 (c) n + 7 (d) n ÷ 7
40. 40.Vivaan has p marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) 9p (b) p − 9 (c) p + 9 (d) p ÷ 9

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