Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 497 · 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 8a + 4b when a = 1 and b = 2.
2. 2.Find the value of 4p − 14 when p = 12.
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
4. 4.Find the value of 5a + 3b when a = 2 and b = 7.
5. 5.Find the value of 7a + 3b when a = 10 and b = 4.
6. 6.Riya has n pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) 3n (b) n − 3 (c) n ÷ 3 (d) n + 3
7. 7.Saanvi has m mangoes. A friend has 7 times as many. Which expression shows how many mangoes the friend has? (a) m + 7 (b) m ÷ 7 (c) m − 7 (d) 7m
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
9. 9.Solve: t + 12 = 21. What is t?
10. 10.Aarav has p mangoes. A friend has 6 times as many. Which expression shows how many mangoes the friend has? (a) p ÷ 6 (b) p − 6 (c) p + 6 (d) 6p
11. 11.Kabir has n bananas. A friend has 2 fewer. Which expression shows how many bananas the friend has? (a) 2n (b) n + 2 (c) n ÷ 2 (d) n − 2
12. 12.Find the value of 2x + 15 when x = 4.
13. 13.Find the value of 4a + 7b when a = 2 and b = 8.
14. 14.Solve: p ÷ 11 = 7. What is p?
15. 15.Farhan shares p marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) 7p (b) p ÷ 7 (c) p − 7 (d) p + 7
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
17. 17.Isha has m shells. A friend has 2 fewer. Which expression shows how many shells the friend has? (a) m − 2 (b) m ÷ 2 (c) 2m (d) m + 2
18. 18.Find the value of 2a + 9b when a = 4 and b = 1.
19. 19.Find the value of 6a + 4b when a = 7 and b = 7.
20. 20.Find the value of 9y − 12 when y = 2.
21. 21.Find the value of 9n + 2 when n = 6.
22. 22.Solve: m − 6 = 9. What is m?
23. 23.Gurpreet shares n crayons equally among 3 friends. Which expression shows how many crayons each friend gets? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
26. 26.Rohan shares k marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) k + 2 (b) k ÷ 2 (c) 2k (d) k − 2
27. 27.Find the value of 2a + 5b when a = 4 and b = 8.
28. 28.Solve: m − 9 = 9. What is m?
29. 29.Find the value of 5a + 7b when a = 3 and b = 7.
30. 30.Find the value of 9a + 8b when a = 9 and b = 3.
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
32. 32.Find the value of 4p + 6 when p = 1.
33. 33.Find the value of 8n − 42 when n = 6.
34. 34.Find the value of 9a + 7b when a = 6 and b = 4.
35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
36. 36.Find the value of 2a + 8b when a = 10 and b = 4.
37. 37.Solve: x − 3 = 10. What is x?
38. 38.Solve: n ÷ 2 = 1. What is n?
39. 39.Solve: x ÷ 10 = 18. What is x?
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?

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