Class 6 Maths Worksheet: Algebra
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.
NameDateTime takenScore ___ / 40
- 1.Find the value of 4a + 7b when a = 1 and b = 9.
- 2.Find the value of 3a + 7b when a = 1 and b = 10.
- 3.Meera has m crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
- 4.Find the value of 5x + 10 when x = 11.
- 5.Find the value of 2a + 8b when a = 4 and b = 5.
- 6.Find the value of 3y + 13 when y = 2.
- 7.Solve: y + 5 = 11. What is y?
- 8.Tara has p balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) 9p (b) p ÷ 9 (c) p − 9 (d) p + 9
- 9.Find the value of 5t + 9 when t = 1.
- 10.Solve: 7y = 7. What is y?
- 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
- 12.Gurpreet has k mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) k ÷ 3 (b) k + 3 (c) k − 3 (d) 3k
- 13.Solve: x − 3 = 11. What is x?
- 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
- 15.Dev has m flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) 2m (b) m − 2 (c) m + 2 (d) m ÷ 2
- 16.Find the value of 4a + 3b when a = 2 and b = 7.
- 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
- 18.Find the value of 8x − 39 when x = 6.
- 19.Find the value of 9x + 14 when x = 12.
- 20.Find the value of 8a + 4b when a = 4 and b = 8.
- 21.Find the value of 4y − 2 when y = 7.
- 22.Solve: n + 10 = 22. What is n?
- 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
- 24.Find the value of 7y − 23 when y = 8.
- 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
- 26.Gurpreet has k books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) 2k (b) k + 2 (c) k ÷ 2 (d) k − 2
- 27.Find the value of 3a + 2b when a = 6 and b = 1.
- 28.Find the value of 6a + 7b when a = 10 and b = 3.
- 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
- 30.Find the value of 7m + 12 when m = 2.
- 31.Solve: p ÷ 5 = 1. What is p?
- 32.Karan has p flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) p + 4 (b) 4p (c) p ÷ 4 (d) p − 4
- 33.Find the value of 4a + 2b when a = 1 and b = 8.
- 34.Find the value of 5x + 2 when x = 2.
- 35.Karan has n kites. A friend has 3 fewer. Which expression shows how many kites the friend has? (a) n ÷ 3 (b) 3n (c) n + 3 (d) n − 3
- 36.Solve: 10t = 70. What is t?
- 37.Priya has p balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) p − 3 (b) 3p (c) p ÷ 3 (d) p + 3
- 38.Find the value of 7a + 8b when a = 1 and b = 9.
- 39.Find the value of 7x + 12 when x = 11.
- 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
Answer key
- 67
- 73
- m − 3
- 65
- 48
- 19
- 6
- p + 9
- 14
- 1
- 39
- k − 3
- 14
- 38
- m − 2
- 29
- 46
- 9
- 122
- 64
- 26
- 12
- 26
- 33
- 18
- 2k
- 20
- 81
- 28
- 26
- 5
- p + 4
- 20
- 12
- n − 3
- 7
- p + 3
- 79
- 89
- 87
Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets