Advanced problem solving with algebraic manipulation

12 questions

1. What expression represents the following: I start with a number (n), subtract 3, and then double the result.
2. What expression represents the following: I take a number (n), multiply it by 5, and then add 10 to the product.
3. What expression represents the following: I triple a number (n) and then subtract 4 from it.
4. Which expression represents the following: I square a number (n), then subtract twice the number from the square.
5. Which expression represents the following: I take a number (n), halve it, and then add the square of the number to this result.
6. A rectangle has side lengths of 3x + 5 and 4x - 3. Write an expression for the perimeter of the shape.
7. The sum of two consecutive even integers is 506. What is the value of the smallest integer?
8. I take a number, add 6, and multiply the result by 9. My new number is 900. What was the original number?
9. The sum of three consecutive integers is 72. What is the largest integer?
10. If the square of a positive number is decreased by 5, the result is 139. What is the number?
11. The area of a square is 49 cm^2. What is the perimeter?
12. The sum of a negative number and half its square is equal to 40. What is the number?

License: OGL