Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 397 · 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 5x + 15 when x = 6.
2. 2.Find the value of 3y − 1 when y = 2.
3. 3.Isha has k mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) k ÷ 8 (b) 8k (c) k + 8 (d) k − 8
4. 4.Find the value of 5p − 1 when p = 1.
5. 5.Find the value of 3a + 3b when a = 4 and b = 6.
6. 6.Solve: 4p = 4. What is p?
7. 7.Find the value of 5a + 7b when a = 3 and b = 8.
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
9. 9.Find the value of 3n + 8 when n = 6.
10. 10.Solve: n − 7 = 2. What is n?
11. 11.Find the value of 4a + 3b when a = 8 and b = 7.
12. 12.Find the value of 4a + 9b when a = 9 and b = 2.
13. 13.Kavya shares k balls equally among 7 friends. Which expression shows how many balls each friend gets? (a) k + 7 (b) k ÷ 7 (c) 7k (d) k − 7
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
15. 15.Find the value of 2m − 1 when m = 1.
16. 16.Diya has n balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) n + 6 (b) n − 6 (c) 6n (d) n ÷ 6
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
18. 18.Solve: t + 12 = 15. What is t?
19. 19.Find the value of 7p + 14 when p = 3.
20. 20.Find the value of 7x + 15 when x = 7.
21. 21.Find the value of 9p + 9 when p = 6.
22. 22.Saanvi shares m balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
25. 25.Find the value of 3x − 2 when x = 4.
26. 26.Find the value of 2a + 5b when a = 9 and b = 5.
27. 27.Find the value of 6a + 2b when a = 10 and b = 10.
28. 28.Find the value of 5x − 35 when x = 11.
29. 29.Solve: p − 4 = 17. What is p?
30. 30.Find the value of 6m + 1 when m = 9.
31. 31.Solve: x − 11 = 5. What is x?
32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
33. 33.Joseph has k mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) 5k (b) k + 5 (c) k ÷ 5 (d) k − 5
34. 34.Solve: t ÷ 12 = 17. What is t?
35. 35.Find the value of 7y − 35 when y = 11.
36. 36.Riya shares n bananas equally among 7 friends. Which expression shows how many bananas each friend gets? (a) n − 7 (b) n ÷ 7 (c) 7n (d) n + 7
37. 37.Solve: p ÷ 6 = 19. What is p?
38. 38.Find the value of 6y − 22 when y = 4.
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?

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