Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 202 · 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 6x + 2 when x = 9.
2. 2.Solve: 11m = 165. What is m?
3. 3.Aditya shares k laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) k − 4 (b) k ÷ 4 (c) k + 4 (d) 4k
4. 4.Karan has m pencils. A friend has 5 times as many. Which expression shows how many pencils the friend has? (a) m + 5 (b) m − 5 (c) m ÷ 5 (d) 5m
5. 5.Find the value of 6a + 8b when a = 10 and b = 10.
6. 6.Joseph has p flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) p ÷ 4 (b) p + 4 (c) p − 4 (d) 4p
7. 7.Find the value of 6n + 19 when n = 1.
8. 8.Find the value of 7n − 9 when n = 2.
9. 9.Kavya shares k pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) k + 2 (b) 2k (c) k ÷ 2 (d) k − 2
10. 10.Solve: p + 4 = 7. What is p?
11. 11.Find the value of 9x − 30 when x = 12.
12. 12.Find the value of 2t − 3 when t = 5.
13. 13.Vivaan shares k mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) k ÷ 6 (b) 6k (c) k − 6 (d) k + 6
14. 14.Dev has p shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) 4p (b) p ÷ 4 (c) p + 4 (d) p − 4
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
16. 16.Solve: p − 4 = 12. What is p?
17. 17.Find the value of 4y − 6 when y = 7.
18. 18.Rohan has p marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) p − 8 (b) 8p (c) p + 8 (d) p ÷ 8
19. 19.Solve: t + 7 = 12. What is t?
20. 20.Solve: t − 7 = 12. What is t?
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
22. 22.Find the value of 8y − 65 when y = 9.
23. 23.Aarav has n mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) n − 5 (b) n + 5 (c) n ÷ 5 (d) 5n
24. 24.Solve: m − 9 = 8. What is m?
25. 25.Ananya has m bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) m ÷ 7 (b) m − 7 (c) m + 7 (d) 7m
26. 26.Solve: x ÷ 10 = 7. What is x?
27. 27.Find the value of 3a + 2b when a = 2 and b = 7.
28. 28.Ananya has p crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) p − 7 (b) p + 7 (c) 7p (d) p ÷ 7
29. 29.Dev has k bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) k − 8 (b) 8k (c) k + 8 (d) k ÷ 8
30. 30.Find the value of 8a + 3b when a = 9 and b = 3.
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
32. 32.Solve: m ÷ 4 = 20. What is m?
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
34. 34.Find the value of 2t + 3 when t = 5.
35. 35.Find the value of 4p − 8 when p = 4.
36. 36.Find the value of 6a + 3b when a = 3 and b = 7.
37. 37.Ananya has n pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) n − 6 (b) n ÷ 6 (c) 6n (d) n + 6
38. 38.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
39. 39.Find the value of 7p − 63 when p = 11.
40. 40.Solve: n + 5 = 7. What is n?

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