Checking and securing understanding of expanding a single bracket

12 questions

1. Evaluate the expression \frac{3x}{2x + 5} for x = 3. Write your answer as a decimal.
2. Evaluate the expression \frac{x}{x + 1} for x = 4. Write your answer as a decimal.
3. A company buys pencils in bulk for £2 per pen and sells them for £3.25 each. If the company sells x pens, which of the following shows the correct expression for the profit, 'p'?
4. If a taxi charges a £15 base fare plus £2 per mile, which of the following represents the total cost, c, for a trip of x miles?
5. A savings account offers 5% annual interest compounded yearly. If x pounds are deposited, which expression represents the amount, a, in the account after one year?
6. A book store sells a book for £20, which is 20% more than its cost price. What is the cost price, 'p', of the book?
7. Expand 5(x + 7) + 3(4x + 5) and simplify where possible.
8. Expand 2(3x - 4) - 5(x - 6) and simplify where possible.
9. Expand -4(x - 5) + 2(2x + 3) and simplify where possible.
10. Expand 3(x^2 - 2x) + 4(x - 3) and simplify where possible.
11. Expand -2(x^2 + 3x) - 3(2x - 4) and simplify where possible.
12. Expand 4(2x - 3)^2 - 5(3x + 2) and simplify where possible.

License: OGL