Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 53 · 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 5n − 22 when n = 6.
2. 2.Find the value of 3a + 9b when a = 7 and b = 4.
3. 3.Find the value of 7n + 18 when n = 1.
4. 4.Find the value of 2x + 16 when x = 1.
5. 5.Find the value of 4t − 13 when t = 9.
6. 6.Find the value of 6t − 5 when t = 1.
7. 7.Zoya has m flowers. A friend has 8 fewer. Which expression shows how many flowers the friend has? (a) 8m (b) m + 8 (c) m − 8 (d) m ÷ 8
8. 8.Arjun shares p bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) p + 4 (b) p − 4 (c) 4p (d) p ÷ 4
9. 9.Find the value of 9t − 38 when t = 11.
10. 10.Solve: m + 9 = 13. What is m?
11. 11.Solve: y − 9 = 8. What is y?
12. 12.Solve: p + 9 = 25. What is p?
13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
14. 14.Find the value of 3n − 23 when n = 9.
15. 15.Dev has p balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) 5p (b) p ÷ 5 (c) p − 5 (d) p + 5
16. 16.Find the value of 6a + 5b when a = 10 and b = 4.
17. 17.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
18. 18.Find the value of 2a + 8b when a = 3 and b = 5.
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
20. 20.Gurpreet has p books. A friend has 7 times as many. Which expression shows how many books the friend has? (a) p ÷ 7 (b) p − 7 (c) p + 7 (d) 7p
21. 21.Find the value of 3a + 3b when a = 9 and b = 3.
22. 22.Find the value of 3a + 5b when a = 9 and b = 10.
23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
24. 24.Find the value of 9y + 6 when y = 1.
25. 25.Solve: t − 11 = 12. What is t?
26. 26.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
27. 27.Solve: n − 11 = 12. What is n?
28. 28.Solve: t + 10 = 23. What is t?
29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
32. 32.Find the value of 3a + 8b when a = 5 and b = 3.
33. 33.Find the value of 8a + 6b when a = 3 and b = 1.
34. 34.Tara has n mangoes. A friend has 7 more. Which expression shows how many mangoes the friend has? (a) 7n (b) n + 7 (c) n − 7 (d) n ÷ 7
35. 35.Solve: x − 4 = 15. What is x?
36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
37. 37.Solve: x + 7 = 22. What is x?
38. 38.Find the value of 6a + 4b when a = 6 and b = 7.
39. 39.Find the value of 2n − 4 when n = 7.
40. 40.Solve: n + 2 = 21. What is n?

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