Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 210 · 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: x + 10 = 15. What is x?
2. 2.Find the value of 7n + 16 when n = 6.
3. 3.Find the value of 8a + 2b when a = 10 and b = 2.
4. 4.Find the value of 6a + 3b when a = 4 and b = 3.
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
6. 6.Find the value of 7y + 12 when y = 4.
7. 7.Riya has p balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) p + 3 (b) p − 3 (c) 3p (d) p ÷ 3
8. 8.Find the value of 8a + 6b when a = 9 and b = 5.
9. 9.Find the value of 8a + 5b when a = 2 and b = 5.
10. 10.Solve: x − 3 = 5. What is x?
11. 11.Find the value of 9m − 39 when m = 10.
12. 12.Solve: 9y = 117. What is y?
13. 13.Find the value of 2y + 1 when y = 12.
14. 14.Solve: x − 12 = 9. What is x?
15. 15.Find the value of 5y − 19 when y = 5.
16. 16.Solve: t ÷ 5 = 8. What is t?
17. 17.Solve: t ÷ 2 = 18. What is t?
18. 18.Find the value of 4t + 9 when t = 1.
19. 19.Solve: m ÷ 4 = 16. What is m?
20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
21. 21.Find the value of 4t − 24 when t = 11.
22. 22.Gurpreet has p bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) 9p (b) p ÷ 9 (c) p − 9 (d) p + 9
23. 23.Zoya has n bananas. A friend has 6 times as many. Which expression shows how many bananas the friend has? (a) n − 6 (b) n + 6 (c) 6n (d) n ÷ 6
24. 24.Solve: y ÷ 4 = 15. What is y?
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
26. 26.Lakshmi shares n flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) n ÷ 6 (b) n + 6 (c) 6n (d) n − 6
27. 27.Find the value of 3x + 1 when x = 2.
28. 28.Find the value of 9n + 13 when n = 3.
29. 29.Solve: y ÷ 2 = 17. What is y?
30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
31. 31.Find the value of 7a + 6b when a = 7 and b = 7.
32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
33. 33.Nisha has p bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) 3p (b) p − 3 (c) p + 3 (d) p ÷ 3
34. 34.Solve: 6y = 96. What is y?
35. 35.Joseph has n shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) n ÷ 3 (b) n − 3 (c) 3n (d) n + 3
36. 36.Joseph has k books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) 9k (b) k ÷ 9 (c) k + 9 (d) k − 9
37. 37.Solve: 8m = 24. What is m?
38. 38.Joseph has n books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) 2n (b) n ÷ 2 (c) n + 2 (d) n − 2
39. 39.Solve: 2n = 14. What is n?
40. 40.Find the value of 7a + 9b when a = 2 and b = 4.

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