Checking and securing understanding of expanding a single bracket | Maths

Starter quiz

Evaluate the expression $\frac{3x}{2x + 5}$ for $x = 3$ . Write your answer as a decimal.
- '0.82' ✓
Evaluate the expression $\frac{x}{x + 1}$ for $x = 4$ . Write your answer as a decimal.
- '0.8' ✓
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'?
- $p = 1.25x$ ✓
- $p = 3x$
- $p = 3x + 2$
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?
- $c = 15x$
- $c = 15x + 2$
- $c = 2x + 15$ ✓
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?
- $a = 2x + 0.05x$
- $a = 1.05x$ ✓
- $a = x(1 + 0.05)^2$
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?
- $p = 20 - 0.2 \times 30$
- $p = \frac{20}{1.2}$ ✓
- $p = 20 + 0.2 \times 30$