Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 593 · 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.Kabir has m balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7
2. 2.Pooja has n marbles. A friend has 8 times as many. Which expression shows how many marbles the friend has? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
3. 3.Find the value of 9x + 14 when x = 8.
4. 4.Aditya shares k kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) k − 9 (b) 9k (c) k ÷ 9 (d) k + 9
5. 5.Find the value of 4y + 14 when y = 10.
6. 6.Find the value of 8y + 3 when y = 3.
7. 7.Nisha has n balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
8. 8.Lakshmi has p shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) 3p (b) p + 3 (c) p ÷ 3 (d) p − 3
9. 9.Find the value of 5x + 17 when x = 4.
10. 10.Find the value of 6m − 44 when m = 12.
11. 11.Solve: y ÷ 2 = 17. What is y?
12. 12.Find the value of 2x + 5 when x = 3.
13. 13.Solve: 9x = 90. What is x?
14. 14.Lakshmi has p bananas. A friend has 9 times as many. Which expression shows how many bananas the friend has? (a) p ÷ 9 (b) p + 9 (c) p − 9 (d) 9p
15. 15.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
16. 16.Riya has k mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) 2k (b) k ÷ 2 (c) k + 2 (d) k − 2
17. 17.Find the value of 7x + 1 when x = 10.
18. 18.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
19. 19.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
20. 20.Aditya has p shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) p + 5 (b) 5p (c) p − 5 (d) p ÷ 5
21. 21.Solve: m ÷ 9 = 4. What is m?
22. 22.Riya has k mangoes. A friend has 8 times as many. Which expression shows how many mangoes the friend has? (a) k − 8 (b) k ÷ 8 (c) 8k (d) k + 8
23. 23.Find the value of 5y + 13 when y = 9.
24. 24.Solve: 2x = 20. What is x?
25. 25.Find the value of 6y − 30 when y = 12.
26. 26.Solve: y − 7 = 14. What is y?
27. 27.Solve: 8x = 104. What is x?
28. 28.Solve: p − 7 = 2. What is p?
29. 29.Solve: m + 5 = 25. What is m?
30. 30.Find the value of 2y − 2 when y = 2.
31. 31.Isha has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) m − 2 (b) m ÷ 2 (c) m + 2 (d) 2m
32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
33. 33.Solve: n + 5 = 8. What is n?
34. 34.Solve: n − 3 = 12. What is n?
35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
36. 36.Isha shares m pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
38. 38.Find the value of 2a + 2b when a = 3 and b = 3.
39. 39.Find the value of 2a + 3b when a = 4 and b = 4.
40. 40.Find the value of 8a + 8b when a = 2 and b = 2.

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